Practice Exam For Summative Exam 2 PDF

PRACTICE EXAM FOR SUMMATIVE EXAM 2 1. The molality of a solution of ethyl alcohol, C2 H5 OH, in water is 1.54 mol/kg. How many grams of alcohol are dissolved in 2.5 kg of water? A. 1.77 g B. 3.85 g C. 177 g D. 385 g 2. Calculate the number of C atoms in 0.350 mol of C6H12O6. A...

PRACTICE EXAM FOR SUMMATIVE EXAM 2 1. The molality of a solution of ethyl alcohol, C2 H5 OH, in water is 1.54 mol/kg. How many grams of alcohol are dissolved in 2.5 kg of water? A. 1.77 g B. 3.85 g C. 177 g D. 385 g 2. Calculate the number of C atoms in 0.350 mol of C6H12O6. A. 2.11 x10^24 atoms B. 1.26 x10^24 atoms C. 6.02 x10^23 atoms D. 8.22 x10^23 atoms 3. Calculate the percentage composition of oxygen in sucrose. A. 42.1 % B. 6.4 % C. 51.5 % D. 33.4 % 4. According to section 2-Statement of Policy, the state shall therefore develop and nurture competent, virtuous, productive, and __________ PECE, ECE, and ECTs a. God-fearing b. religious c. versatile d. well-rounded 5. Materials composed of more than one material type and are designed to display a combination of the best characteristics of each component material. A. polymers B. metals C. ceramics D. composites 6. A bullet weighing 50 gm and moving at 480 m/s strikes a 2.50 kg block moving at 30 m/s in the same direction. What will be the resultant velocity or speed of the bullet and the block if the bullet is embedded into the block? A. 32.82 m/s C. 44.31 m/s B. 21.99 m/s D. 87.96 m/s 7. All successful examinees and all those who have qualified for registration without examination shall be required to take a  professional oath as a prerequisite to practicing as a PECE, ECE, or ECT. A. section 5 B. section 15 C. section 22 D. section 27 8. A man keeps a 1kg toy airplane flying horizontally in a circle by holding onto a 1.50 m. long string attached to its wing tip. The string is always in the plane of the circular path. If the plane flies at 10m/s, find the tension in the string. A. 28 N C. 15 N B. 67 N D. 18 N 9. Calculate the molarity of a solution made by dissolving 23.4 g of sodium sulfate, Na2SO4, in enough water to form 125 mL of solution. A. 1.04 B. 1.32 C. 2.24 D. 2.96 10. What is the term used to refer to the ability of any engineering material to withstand force, pressure, or stress? A. Strength B. Hardness C. Ductility D. Plasticity 11. Miss Catriona deposited P 1,000, P 1,500 and P 2,000 at the end of the 2nd year, 3rd year and 4th year, respectively in a savings account which earned 10% per annum. How much is in the account at the end of the 4th year? A. P 4,880.00 C. P 4,860.00 B. P 4,820.00 D. P 4,840.00 12. A man paid a 10% downpayment of P200,000 for a house & lot and agreed to pay the balance on monthly instalments for 5 years at an interest rate of 15% compounded monthly. What was the monthly instalment in pesos? A. P32,128.87 B. P42,821.87 C. P34,812.67 D. P43,781.67 13. The antifreeze in most automobile radiators is a mixture of equal volumes of ethylene glycol and water, with minor amounts of other additives that prevent corrosion. What is the molality of ethylene glycol, C2H4(OH)2, in a solution prepared from 2.22x10^3 g of ethylene glycol and 2.00x10^3 g of water (approximately 2 L of glycol and 2 L of water)? A. 0.56 m B. 1.79 m C. 5.6 m D. 17.9 m 14. A 15g bullet is fired horizontally into a 3kg block of wood suspended by a long cord. The bullet sticks in the block. Compute the velocity of the bullet if the impact causes the block to swing 10cm above the initial level. A. 281 m/s C. 381 m/s B. 331 m/s D. 140 m/s 15. It is a measure of the stiffness of a material determined by the slope of the straight-line portion of the stress-strain curve. A. Modulus of Elasticity B. Modulus of Rigidity C. Strain D. Stress 16. When was the effectivity of P.D. No. 223? A. June 21, 1942 B. June 22, 1973 C. June 23, 1968 D. June 24, 1981 17. A constant torque of 5 Nm provides an angular acceleration of 2.5 rads/s2 to a wheel. What is the value of the wheel’s moment of inertia? A. 1 kgm2 C. 0.5 kgm2 B. 2 kgm 2 D. 12.5 kgm2 18. Which of the following is the conjugate base of HClO4? A. HClO3 B. H2ClO4 C. ClO4 D. ClO3 19. What is defined as the reduction or fall of the value of an asset due to constant use and passage of time? A. Depletion B. Inflation C. Depreciation D. Deflation 20. An underwater camera costs P8,000 and an estimated life of 10 years with a salvage value of P500. Using straight line method , determine its book value after 8 years. A. P2,000.00 B. P2,200.00 C. P2,400.00 D. P2,600.00 21. An 8g bullet is fired horizontally into a 9kg block of wood and sticks in it. The block which is free to move, has a velocity of 40 cm/s after impact. Find the velocity of the bullet. A. 550 m/s C. 450 m/s B. 380 m/s D. 250 m/s 22. A ball is dropped from a height h above a tile floor and rebounds to a height of 0.65h. Find the coefficient of restitution between the ball and floor. A. 0.91 C. 0.81 B. 0.53 D. 0.75 23. A solid sphere rolls down an inclined plane. What percent of its total kinetic energy is translational? A. 22.36% B. 28.57% C. 77.64% D. 71.43% 24. How many atoms of chlorine are in 16.50 g of iron(III) chloride (FeCl3)? The molar mass of iron and chlorine are 55.845 amu and 35.45 amu, respectively. A. 0.838 × 1023 Cl atoms B. 1.838 × 1023 Cl atoms C. 2.838 × 1023 Cl atoms D. 3.838 × 1023 Cl atoms 25. Calculate the mass (in grams) of one molecule of Acetic Acid: CH3COOH A. 6.973 x 10−23 g B. 7.973 x 10−23 g C. 8.973 x 10−23 g D. 9.973 x 10−23 g 26. The property of metals that allows them to be drawn into thin wires beyond their elastic limit without being ruptured is called A. ductility B. malleability C. elasticity D. hardness 27. An atomic number of a given atom is 13 and its atomic mass number is 27. What is its number of protons? A. 14 B. 13 C. 27 D. 40 28. Maintain a roster of Professional Electronics Engineers, Electronics Engineers and Electronics Technicians A. PECE B. ECE C. BECE D. PRC Board of Electronics Engineering 29. Who among the following persons was not a signatory of the 9292? a. FRANKLIN DRILON b. JOSE DE VENECIA JR c. OSCAR G. YABES d. JESUS P. NAZARENO 30. Calculate the mass in kg of 3 moles of Carbon Dioxide A. 122 B. 132 C. 0.122 D. 0.132 132 grams 31. A car of mass 1000 Kg moves in a circular path of radius 50 m. The constant speed of car is given by 12 m/s. Determine the centripetal force of the car? A. 1880 N B. 2880 N (1000*12^2)/50=2880 C. 3880 N D. 4880 N 32. A wheel moves at constant angular acceleration. It starts from rest and it was observed that a point 15 cm from the center of the wheel has a speed of 4m/s after 12 sec. What is the angular acceleration of the wheel? A. 0.66 rads/s2 C. 1.11 rads/s2 B. 0.33 rads/s2 D. 2.22 rads/s2 33. Quantum number is a number that occurs in the theoretical expression for the value of some quantized property of a subatomic particle, atom, or molecule and can only have certain integral or half-integral values. Which of the following is NOT a quantum number? A. Principal Quantum Number B. Azimuthal Quantum Number C. Magnetic Quantum Number D. Orientation Quantum Number 34. What is the inertia of the bowling ball (mass = 0.5 kg) of radius 15 cm rotating at an angular speed 10 rpm for 6 seconds? A. 0.001 kgm2 C. 0.002 kgm2 B. 0.0045 kgm2 D. 0.005 kgm2 35. A 20 Mg car moving at a speed of 0.5 m/s to the right collides with a 35 Mg car which is at rest. After collision, the 35 Mg car is observed to move to the right at a speed of 0.30 m/s. Determine the coefficient of restitution between the two cars. A. 0.65 C. 0.23 B. 0.78 D. 0.86 36. A substance that can act as both acid and base is called A. Allotrophic B. Ampotheric C. Isotopic D. Amorphous 37. The process in which a solid changes directly into its vapor without first forming a liquid is called _____________. A. Distillation B. Calcination C. Isolation D. Sublimation 38. A flywheel has a moment of inertia of 3.8 kg-m^2. What constant torque is required to increase its frequency from 2.0 rev/s to 5.0 rev/s in 6.0 revolutions? A. 16 B. 24 Nm C. 42 Nm D. 61 Nm 39. What is the molarity of a solution containing 16.0g CH3 OH in 200mL solution? A. 1.25 B. 1.82 C. 2.50  D. 3.64 40. What is the present worth of P500 deposited at the end of every three months for 6 years if the interest rate is 12% compounded semiannually? A. P8,507 B. P9,568 C. P7,690 D. P6,759 41. Determine the principal that would have to be invested to provide P200 of simple interest income at the end of two years if the annual rate is 9%. A. P.837.35 C. P1111.11 B. P999.95 D. P1402.24 42. A 355-mL soft drink sample contains 0.133 mol of sucrose (table sugar). What is the concentration of sucrose in the beverage? A. 0.125 M B. 0.226 M C. 0.375 M D. 0.478 M 43. Referring to the periodic table, the atomic mass of potassium is 39.10 amu. How many moles will be there in 4.7 g of K? A. 0.12 mol B. 0.24 mol C. 1.2 mol D. 2.4 mol 44. Aspirin is a compound with the molecular formula C9H8O4. How much of this compound is carbon? A. 4.48% Hydrogen B. 35.52% Oxygen C. 43.22% D. 60.00% 45. The resultant force due to the action of four forces is R, which is 100 N along the negative y-axis. Three of the forces are 100 N, 60° above the x-axis; 200 N, 140° above the x-axis; 250 N, 320° above the x-axis. Find the fourth force. A. 120 N, 30° below the x-axis B. 180 N, 60° below the x-axis C. 120 N, 30° above the x-axis D. 180 N, 60° above the x-axis 46. Compute algebraically the resultant of the following coplanar forces: 100 kN @30°, 141.4 kN @45°, and 100 kN @240°.  A. 72 kN B. 97 kN C. 132 kN D. 151 kN 47. How much work is done against gravity in lifting a 3kg object through a distance of 40 cm? A. 5.2 J B. 9.4 J C. 11.8 J D. 15.2 J 48. A 400 lb load of bricks is to be lifted to the top of a scaffold 8.5 m high. How much work must be done to lift it vertically? A. 4, 400 ft-lb B. 6, 500 ft-lb C. 9, 800 ft-lb D. 11, 200 ft-lb 49. A 150 g mass has a velocity v = 2i + 6j m/s at a certain instant. What is its kinetic energy? A. 1.2 J B. 3 J C. 4.5 J D. 8 J 50. The velocity of an 800-g object changes from 3i-4j to - 6j+2k m/s. What is its change in kinetic energy? A. 2.2 J B. 3.3 J C. 4 J D. 6 J 51. If the simple pendulum shown in the figure is released from point A, what will be the speed of the ball as it passes through point C? A. 3.83 m/s B. 5.25 m/s C. 10.26 m/s D. 15.18 m/s 52. Coordination number refers to the number of nearest neighbor or touching atoms of any single atom in a unit cell. Which of the following crystal structures has a coordination number equal to 8? A. Simple Cubic B. Body Centered Cubic C. Face-Centered Cubic D. All crystal structures have the same value for coordination number 53. Shear Modulus is the coefficient of elasticity for a shearing force. It is defined as "the ratio of shear stress to the displacement per unit sample length (shear strain)”. This can be experimentally determined from the slope of a stress-strain curve created during tensile tests conducted on a sample of the material. What is the another term for this Shear Modulus? A. Modulus of Rigidity B. Young’s Modulus C. Bulk Modulus D. Modulus of Elasticity 54. A kind of solid which is characterized as consisting of ordered three-dimensional arrays of structure motif is classified as ____________ solids. A. amorphous B. beta C. crystalline D. alpha 55. What crystalline structure has a coordination number of 12? A. body centered cubic B. face-centered cubic C. diamond cubic D. simple cubic 56. A pendulum bob has a mass of 0.5 kg. It is suspended by a cord 2 m long which is pulled back through an angle of 36 degrees and released. Find the maximum potential energy at this position relative to its lowest position? A. 1.96 J B. 2.25 J C. 2.82 J  D. 3.67 J 57. These are engineering materials formed from repeating organic molecules. A. ceramics B. isomers C. composites D. polymer 58. The Board and the __________ shall correct and rate the licensure examination papers a. Commission b. APO c. IECEP d. none of these 59. Professional Oath – RA 9292 A. ARTICLE III SEC. 24 B. ARTICLE III SEC. 17 C. ARTICLE III SEC. 16 D. ARTICLE III SEC. 22 60. After being hit, a golf ball starts out with a velocity of 130 ft/s. If it reaches a maximum height of 180 ft, what is its velocity at that point? A. 37.3 ft/s B. 46.4 ft/s C. 64.4 ft/s D. 73.3 ft/s  PSET 1 – Eng Econ. 1. Engr. Cabansag an amount of P100,000 with a rate of simple interest of 20% but the interest was deducted from the loan at the time the money was borrowed. If at the end of one year, she has to pay the full amount of P100,000, what is the actual rate of interest? A. 23.5% B. 24.7% C. 25.0% D. 25.8% 2. A man paid a 10% downpayment of P200,000 for a house & lot and agreed to pay the balance on monthly instalments for 5 years at an interest rate of 15% compounded monthly. What was the monthly instalment in pesos? A. P32,128.87 B. P42,821.87 C. P34,812.67 D. P43,781.67 3. A loan of P10,000 is made for a period of 15 months, at a simple interest rate of 15%, what future amount is due at the end of the loan period? A. P11,875 B. P11,980 C. P12,080 D. P12,075 4. A man borrowed money from the bank. He received from the bank P1,842 and promised to repay P2,000 at the end of 10 months. Determine the rate of simple interest. A. 12.19% B. 12.03% C. 11.54% D. 10.29% 5. 4. A college freshman borrowed P2,000 from a bank for his tuition fee and promised to pay the amount for one year. He received only the amount of P1,920 after the bank collected the advance interest of P80.00. What was the rate of discount? A. 3.67% B. 4.00% C. 4.15% D. 4.25% 6. A man inherited a regular endowment of P100,000 every end of 3 months for 10 years. However, he may choose to get a single lump sum payment at the end of 4 years. How much is this lump sum if the cost of money is 14% compounded quarterly? A. 3,702,939.73 B. 4,702,939.73 C. 5,702,939.73 D. 6,702,939.73 7. A broadcasting corporation purchased an equipment that costs P7,000, last 8 years and has a salvage value of P350. determine the book value during the 4th year using declining balance method. A. P1,711 B. P5,166 C. P1,565  D. P1,645 8. Determine the capitalized cost of a research laboratory which requires P6,000,000 for original construction; P100,000 at the end of every year for the first 6 years and then P120,000 each year thereafter for operating expenses, and P500,000 every 5 years for replacement of equipment with interest at 12% per annum? A. P5.75M B. P6.75M C. P7.75M D. P8.75M 9. The exact simple interest of P5,000 invested from June 21, 1995 to December 25, 1995 is P100. What is the rate of interest? A. 3.90% B. 3.92% C. 3.95% D. 3.98% 10. A man wishes to have Php 40,000 in a certain fund at the end of 8 years. How much should he invest in fund that will pay 6% compounded continuously? A. Php 27,857.34 B. Php 24,751.34 C. Php 24,000.05 D. Php 25,770.00 11. Mandarin Bank advertises 9.5% account that yields 9.84% annually. Find how often the interest is compounded. A. Monthly B. Bimonthly C. Quarterly D. Annually 12. A factory operator bought a diesel generator set for P 10,000.00 and agreed to pay the dealer uniform sum at the end of each year for 5 years at 8% interest compounded annually, that the final payment will cancel the debt for principal and interest. What is the annual payment? A. P 2,500.57 B. P 2,544.45 C. P 2,540.56 D. P 2,504.57 13. Engr. Agustin purchased a small lot in a subdivision, paying P200, 000 down and promising to pay P15, 000 every 3 months for the next 10 years. The seller figured interest at 12% compounded quarterly. What was the cash price of the lot? A. P546,722 B. P646,722 C. P746,722 D. P846,722 14. If P500,000 is deposited at a rate of 11.25% compounded monthly, determine the compounded interest after 7 years and 9 months. A. P490,849 B. P590,849 C. P690,849  D. P390,849 15. A machine is purchased for P55,000. The salvage value in 20 years is P10,000. What is the depreciation in the first 3 years using straight line method? A. 6,750 B. 6,850 C. 6,570 D. 6,580 16. Mr. Brightside borrowed money from a bank. he receives from the bank P1,340.00 and promised to pay P1,500.00 at the end of 9 months. Determine the corresponding discount rate or often referred to as the “banker’s discount”. A. 13.15% B. 13.32% C. 13.46% D. 13.73% 17. A sum of 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of 362.50 more is lent but at the rate twice the former. At the end of the year, 33.50 is earned as interest from both the loans. What was the original rate of interest? A. 2.5% B. 4.5% C. 5% D. None of these 18. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years? A. 1 : 3 B. 1 : 4 C. 2 : 3 D. Data inadequate 19. An investor has an option to purchase a tract of land that will be worth P20,000 in seven years. If the value of the land increases at 9% each year, how much should the investor be willing to pay now for this property? A. P9,341 B. P10,941 C. P11,521 D. P12,015 20. What is the ordinary interest on P1,500.50 for 182 days at 5.2%? A. P39.01 B. P39.82 C. P39.45 D. P39.99 21. Determine the present worth of an annuity consisting of 6 payments of P120, 000 each, the payments are made at the beginning of each year. Money is worth 15% compounded annually. A. P522,259 B. P559,222 C. P259,252 D. P295,522 22. At 6% find the capitalized cost of a bridge whose cost is P250M and life is 20 years, if the bridge must partially rebuilt at a cost of P100M at the end of each 20 years. A. 295 M B. 325 M C. 355 M D. 385 M 23. Find the total depreciation at the end of 7th year for an asset that costs P10,000 new and has an estimated scrap value of P2,000 at the end of 12 years using declining balance method. A. P4,035 B. P5,059 C. P6,089 D. P7,022 24. A manufacturer produces certain items at a labor cost of P55 each, material cost of P82 each and variable cost of P1.75 each. If the item has a unit price of P700, how much number of units must be manufactured each month for the manufacturer to break-even if the monthly overhead is P432,000? A. 767 units B. 765 units C. 770 units D. 769 units 25. What is the effective rate of interest if P1000 is invested at a nominal rate of 15% compounded quarterly? A. 15.86% B. 16.86% C. 17.86% D. 18.86%  PSET 2 5. Two balls are dropped to the ground from different heights. One is dropped 1.5 s after G2: Physics 1 the other, but they both strike the ground at 1. A car starts from rest at constant acceleration the same time, 5.0 s after the first dropped. of 2.0 m/s2. At the same instant a truck (a) What is the difference in the heights from travelling with a constant speed of 10 m/s which they were dropped? (b) From what overtakes and passes the car. After what time height was the first ball dropped? will this happen? A. 63 m; 0.12 km A. 10 s B. 32 m; 0.42 km C. 21 m; 0.28 km B. 11 s D. 47 m; 1.4 km C. 12 s D. 13 s 6. Three vector forces F1, F2 and F3 act on a particle of mass m = 3.80 kg as shown in the 2. A package is dropped from a helicopter while figure. Calculate the magnitude and direction the helicopter is moving upwards at 15 m/s. If of the net force acting on the particle. it takes 25 s before the package strikes the ground, how high above the ground was the package when it was released? A. 2.7 km B. 3.4 km C. 2.2 km D. 3.2 km A. 28.76 N; 37.7° with the + x-axis 3. A stone is dropped from a height of 19.6m, B. 82.67 N; 37.7° with the + x-axis above the ground while a second stone is C. 28.76 N; 37.7° with the - x-axis simultaneously projected from the ground with D. 82.67 N; N; 37.7° with the - x-axis sufficient velocity to enable it to ascend 19.6m. When and where the stones would 7. A particle projected up passes the same height meet? h at 2 s and 10 s. Find h if g = 9.8m/s^2. A. 1 s, 14.7 m A. 89 m B. 2 s, 17.4 m B. 98 m C. 3 s, 14.7 m C. 196 m D. 4 s, 17.4 m D. 169 m 4. The relation 3t =√3x + 6 describes the 8. Cars A and B are travelling in adjacent lanes displacement of a particle in one direction, along a straight road. At time, t = 0 their where x is in metres and t in seconds. Find the positions and speeds are as shown in the displacement when the velocity is zero. diagram. If car A has a constant acceleration of A. 0 m 0.6m/s^2 and car B has a constant B. 2 m deceleration of 0.46m/s^2, determine when A C. 12 m will overtake B. D. 24 m PUP –ECE R. Miranda Page 1  12. A ship is sailing due east at 15 km/hr. What must be the speed of a second ship heading in the direction 30 east of north. If it is always due north from the first ship. A. 20 km/hr A. 0.9 s B. 25 km/hr B. 1.8 s C. 30 km/hr C. 2.3 s D. 35 km/hr D. 4.6 s 13. A boy observes a cricket ball move up and down past a window 2 m high. If the total time 9. Water drips from the nozzle of a shower onto the ball is in sight is 1.0 s, find the height the floor 2.45m below. The drops fall at above the window that the ball rises. regular interval of time, the first drop striking A. 0.2251 m the floor at the instant the third drop begins to fall. Locate the second drop when the first B. 0.2512 m drop strikes the floor. C. 0.5122 m A. 0.6125 m D. 0.1225 m B. 0.8351 m C. 1.025 m 14. Ship A is 10 km due west of ship B. Ship A is D. 1.225 m heading directly north at a speed of 30 km/h, while ship B is heading in a direction 60◦ west 10. Sir Robin dropped a stone into the water from of north at a speed of 20 km/h. Determine the CEA 44.1m above the ground. Another stone magnitude and direction of the velocity of ship is thrown vertically down 1.0 s after the first B relative to ship A. one is dropped. Both the stones strike the A. vAB = 26.45 km/hr, θ = 40.9° ground at the same time. What was the initial B. vAB = 64.52 km/hr, θ = 40.9° velocity of the second stone? C. vAB = 45.26 km/hr, θ = 30.5° A. 12.25 m/s D. vAB = 52.64 km/hr, θ = 30.5° B. 13.25 m/s C. 14.25 m/s 15. What displacement must be added to a 50 cm displacement in the +x direction to give a D. 15.25 m/s resultant displacement of 85 cm at 25 degrees? A. 45 cm at 25 degrees 11. To approximate the height of a water well in B. 45 cm at 53 degrees PUP CEA, Romeo and Juliet drop a heavy rock C. 62 cm at 25 degrees into the well. 8 seconds after the rock is D. 62 cm at 53 degrees dropped, they hear a splash caused by the impact of the rock on the water. What is the 16. A truck is moving north at a speed of 70 kh/h. height of the well. (Speed of sound in air is The exhaust pipe above the truck cab sends out 340 m/s). a trail of smoke that makes an angle of 20 A. 122 m degrees east of south behind the truck. If the B. 184 m wind is blowing directly toward the east, what C. 257 m is the wind speed at that direction? D. 291 m A. 12 km/hr B. 18 kh/hr PUP –ECE R. Miranda Page 2  C. 25 km/hr A. 0 s D. 29 km/hr B. 2.04 s C. 4.20 s 17. A reckless drunk playing with a gun in an D. forever airplane that is going directly east at 500 km/hr. The drunk shoots the gun straight up at 22. From Pureza, a sports car accelerates from rest the ceiling of the plane. The bullet leaves the at 1.0 m/s2 for 20.0 seconds along a straight gun at a speed of 1000 km/hr. According to road. It then moves at a constant speed for half someone standing on the Earth, what angle an hour. It then decelerates uniformly to a stop does the bullet make with the vertical? in 30.0 s. Find the total distance covered by the A. 12.2 degrees car. B. 18.5 degrees A. 22.4 km C. 23.4 degrees B. 28.9 km D. 26.6 degrees C. 32.2 km D. 36.5 km 18. Vector A is 2.80 cm long and is 60 deg above the x-axis in the first quadrant. Vector B is 1.90 23. An airplane heads due north at 100 m/s cm and is 60 deg below the x-axis in the fourth through a 30 m/s cross wind blowing from the quadrant. Find A + B east to the west. Determine the resultant A. 2.4 cm, 18.35 deg velocity of the airplane (relative to due north). B. 4.1 cm, 83.69 deg A. 84 m/s, 17° west of north C. 0.9 cm, 60 deg B. 104 m/s, 17° west of north C. 84 m/s, 17° east of north D. 4.7 cm, 60 deg D. B. 104 m/s, 17° east of north 19. An airplane flying east at 310 m/s has a 45 m/s 24. A car’s odometer reads 22687 km at the start tailwind. What is the resultant velocity of the of a trip and 22791 km at the end. The trip took plane? 4 hours. What was the car’s average speed in A. 265 m/s km/h? B. 355 m/s A. 7.2 C. 225 m/s B. 12.4 D. 402 m/s C. 26 D. 32 20. Tarzan is swimming east at 2.4 m/s across a river that is 1660 meters wide and flows north 25. A car starts from rest at constant acceleration at 5.2 m/s. How long will it take him to cross of 2.0 m/s2. At the same instant a truck the river? travelling with a constant speed of 10 m/s A. 128 s overtakes and passes the car. After what time B. 692 s will this happen? C. 58 s A. 10 s D. 72 s B. 11 s 21. A magic ball is thrown straight down from the C. 12 s top of a green building at a speed of 20 m/s. It D. 13 s hits the dirty ground with a speed of 40 m/s. How long was the object in the air? PUP –ECE R. Miranda Page 3  26. A car is accelerating uniformly as it passes two checkpoints that are 30 m apart. The time taken 31. The spin-drier of a washing machine revolving between checkpoints is 4 s, and the car’s speed at 900 rpm slows down uniformly to 300 rpm at first checkpoint is 5 m/s. Find the car’s while making 50 revolutions. What is the acceleration and its speed at the second checkpoint. angular acceleration? A. 1.3 m/s^2, 10 m/s A. 2.0 rad/s^2 B. 1.3 m/s^2, 18 m/s B. 4.0 rad/s^2 C. 2.6 m/s^2, 10 m/s C. 2.0π rad/s^2 D. 2.6 m/s^2, 18 m/s D. 4.0π rad/s^2 27. A baseball is thrown straight upward with a speed of 30 m/s. When will its speed be 16 m/s 32. On a smooth surface, a soft 100-grams ball A in the downward direction? at the velocity of 10 meters per second collides A. 1.4 s with another 700-grams ball B initially at rest. B. 2.5 s After collision, the two balls stick together and C. 3.2 s keep moving in the same direction as ball A. D. 4.7 s What is the velocity of the two balls after 28. Sir Adrian throws his mother's crystal vase collision? vertically upwards with an initial velocity of A. 1.25 m/s 26.2 m/s. Determine the height to which the B. 2.5 m/s vase will rise above its initial height. C. 12.5 m/s A. 22 m D. 25 m/s B. 27 m C. 31 m 33. A 50.0-kg marathon runner runs up the stairs D. 35 m to the top of Chicago’s 443-m-tall Willis Tower, 29. A carzy graduating ECE student drops a pile of the tallest building in the United States. To lift roof shingles from the top of CEA located 8.52 herself to the top in 15.0 minutes, what must meters above the ground. Determine the time be her average power output? required for the shingles to reach the ground. A. 0.12 hp A. 0.92 s B. 0.32 hp B. 1.32 s C. 1.2 hp C. 1.69 s D. 2.05 s D 3.2 hp 30. A wheel of 40 cm radius rotates on a stationary 34. How long does it take a 2000-Kg car to stop axle. It is uniformly speeded up from rest to a from a velocity of 35 m/s if a braking force of speed of 900 rpn in a time of 20 s. Find the 4000 Newtons is used? constant angular acceleration of the wheel. A. 35 s A. 2.2 rad/s^2 B.17.5 s B. 4.7 rad/s^2 C. 8.75 s C. 2.2 m/s^2 D. 10 s D. 4.7 m/s^2 PUP –ECE R. Miranda Page 4  35. A ball kicked from ground level at an initial fixed reference point along a straight line, is velocity of 60 m/s and an angle θ with ground defined as : reaches a horizontal distance of 200 meters. What is the size of angle θ in degrees? How far will the particle travel during the fifth A. 34.8 second ? B. 16.5 A. 1038 cm C. 459 cm C. 28.7 B. 574 cm D. 1245 cm D. 10.6 40. A very smart ECE student threw a stone 36. A wheel of 40 cm radius rotates on a stationary vertically upward and return to earth in 10 sec. axle. It is uniformly speeded up from rest to a What was the stone’s initial velocity and how high did it go? speed of 900 rpn in a time of 20 s. Find the A. 82 m/s; 225.6 m tangential acceleration of a point on its rim. B. 161 m/s; 402.5 m A. 1.9 m/s^2 C. 82 ft/s; 225.6 ft B. 4.2 m/s^2 D. 161 ft/s; 402.5 ft C. 1.9 rad/s^2 D. 4.2 rad/s^2 37. The spin-drier of a washing machine revolving at 900 rpm slows down uniformly to 300 rpm while making 50 revolutions. Determine the time required to turn through these 50 revolutions. A. 2.5 s B. 4.2 s C. 5.0 s 38. You throw a ball from your window 8.0 m above the ground. When the ball leaves your hand, it is moving at 10 m/s at an angle of 20° below the horizontal. How far horizontally from your window will the ball hit the ground? Ignore air resistance. A. 2.9 m B. 4.6 m C. 6.4 m D. 9.2 m 39. A particle moves such that its displacement (in cm) at any time t (in seconds) measured from a PUP –ECE R. Miranda Page 5 PSET3: G3-PHYSICS 2 1. An 5.0 kg object is to be given an upward acceleration of 0.30 m/s^2 by a rope pulling straight upward on it. What must be the tension in the rope? A. 25.2 N B. 33.5 N C. 40.1 N D. 50.6 N A. 85 N B. 98 N 2. Refer to Figure. Find the acceleration of the C. 115 N blocks if friction is negligible. D. 133 N 5. In the Figure shown, the tension in the horizontal cord is 30 N. Find the weight of the object? A. 1.1 m/s^2 B. 2.2 m/s^2 C. 3.3 m/s^2 D. 4.4 m/s^2 3. Refer to Figure. What is the tension in the cord connecting them? A. 12 N A. 13 N B. 25 N B. 22 N C. 31 N C. 113 N D. 44 N D. 122 N 6. Two masses in an Atwood machine are 1.9 4. Refer to Figure. If the friction between the and 2.1 kg, the vertical distance of the heavier block and the incline is negligible, how much body being 20 cm above the lighter one. After must the object on the right weigh if the 200 what time would the lighter body be above N block is to remain at rest? the heavier one by the same vertical distance? Neglect the mass of the pulley and the cord PUP –ECE R. Miranda Page 1  A. 1.18 s 9. What is the vertical component of the tension B. 1.28 s in the rope? C. 1.38 s A. 19.2 N D. 1.48 s B. 23.6 N C. 39.2 N 7. A box of mass 1 kg rests on a frictionless D. 49.1 N inclined plane which is at an angle of 30° to the horizontal plane. Find the constant force 10. What is the tension in the string you are that needs to be applied parallel to the incline holding? to move the box up the incline with an A. 19.2 N acceleration of 1 m/s2. B. 23.6 N A. 9.5 N C. 39.2 N B. 5.9 N D. 49.1 N C. 8.6 N D. 6.8 N For Question (11-12): Two gray boxes, one of mass m1 = 25 kg and 8. Three blocks are pushed across a frictionless the other of mass m2 = 40 kg, connected by a surface. If the force P = 6.0 N, what is the piece of string, are pulled across a frictionless, magnitude of the force that the 3.0 kg block level floor by a 120 N force acting at 35° exerts on the 2.0 kg block? above horizontal. A. 8.4 N B. 7.2 N C. 5.6 N D. 4.8 N 11. Find the acceleration of the boxes A. 1.33 m/s^2 C. 1.73 m/s^2 For Question (9-10): B. 1.51 m/s^2 D. 1.27 m/s^2 A 4.00 kg mass is hanging from the ceiling by a rope, as shown. You are holding the mass 12. Find the tension in the string joining the stationary by a string. In this situation the boxes. rope makes an angle θ =37.0° with the A. 15.12 N C. 45.37 N vertical. B. 30.24 N D. 60.49 N 13. Three forces 20N, 30N and 40N are in equilibrium. Find the angle between the 30N force and the 40N force. A. 28.96o C. 38.56o o B. 18.97 D. 45.85o 14. Two blocks m1 and m2 are in contact on a frictionless table. A horizontal force F is PUP –ECE R. Miranda Page 2  applied to the block m1. Find the force of contact between the blocks. 19. Two men together can exert a maximum force of 700 N on a box. However, when they pull the box in the opposite directions, the net force is only 100 N. What will be the A. (m1 − m2)/m2F magnitude of the force if the men apply their B. m2F/(m1 − m2) forces perpendicular to each other? C. (m1 + m2)/m2F A. 400 N D. m2F/(m1 + m2) B. 500 N C. 600 N 15. A box of weight mg is dragged with force F at D. 800 N an angle θ above the horizontal. Find the force exerted by the floor on the box. 20. A uniform beam of length L weighs 200 N and A. N = mg − F sinθ ∗ holds a 450 N object as shown. Find the B. N = mg + F cosθ magnitudes of the forces exerted on the C. N = F sinθ − mg beam by the two supports at its ends. Assume D. N = cosθ + Fmg the lengths are exact. 16. Bruce the Shark is trying to steal a crate of tuna. The crate is moving with a constant speed to the right. The crate has a mass of 200 kg, and Bruce is pulling with a force of 1000 N at an angle of 30° above the horizontal. What normal force does the floor exert on the crate? A. 1960 N A. F1 = 121 N; F2 = 384 N B. 1460 N B. F1 = 121 N; F2 = 438 N C. 2460 N C. F1 = 212 N; F2 = 384 N D. 1000 N D. F1=212 N; F2=438 N 17. A net force F is required to give an object with 21. A uniform, 100 N pipe is used as a lever, as mass m an acceleration a. If a net force 6F is shown in the figure. Where must the fulcrum applied to an object with mass 2m, what is (the support point) be placed if a 500 N the acceleration on this object? weight at one end is to balance a 200 N A. a B. 2a C. 3a D. 4a weight at the other end? What is the reaction force exerted by the support on the pipe? 18. A force of 86.6 N along East is applied on box placed on a frictionless surface. Two equal forces of magnitude 50 N but acting in different directions are applied to keep the box in equilibrium. What is the angle between the two equal forces? A. 120° B. 90° C. 60° D. 30° PUP –ECE R. Miranda Page 3  A. 0.69L; 800N container from sliding off the back of the B. 0.69L; 900 N truck? C. 0.78L; 800 N A. 𝜇 =0.531 D. 0.78L; 900 N B. 𝜇 =0.135 C. 𝜇 =0.351 22. Two blocks of masses m1 and m2 are pushed D. 𝜇 =0.153 by a force F as shown in the figure. The coefficient of friction between each block and 25. A block of mass M on a rough horizontal table the table is 0.40. What must be the value of F is driven by another block of mass m if the blocks are to have an acceleration of connected by a thread passing over a 200 cm/s^2? frictionless pulley. Assuming that the coefficient of friction between the mass M and the table is μ, find acceleration of the masses. A. 4.7 N B. 5.7 N C. 6.7 N D. 7.7 N 23. In the figure below, the two boxes have identical masses of 40 kg. Both experience a A. (𝜇𝑀−𝑚)/(𝑚+𝑀) sliding friction force with µ = 0.15. Find the B. (𝑚−𝜇𝑀)/(𝑚+𝑀) acceleration of the boxes and the tension in C. (𝜇𝑀−𝑚)/(𝑚−𝑀) the tie cord. D. (𝑚−𝜇𝑀)/(𝑚−𝑀) 26. A block of metal of mass 2 kg on a horizontal table is attached to a mass of 0.45 kg by a light string passing over a frictionless pulley at the edge of the table. The block is subjected to a horizontal force by allowing the 0.45 kg A. a=1.1 m/s2, FT = 0.1 kN mass to fall. The coefficient of sliding friction B. a=1.1 m/s2, FT = 0.2kN between the block and table is 0.2. Calculate C. a=2.1 m/s2, FT = 0.1 kN the initial acceleration. D. a=2.1 m/s2, FT = 0.2kN 24. A container of mass 200 kg rests on the back of an open truck. If the truck accelerates at 1.5m/s^2, what is the minimum coefficient of static friction between the container and the bed of the truck required to prevent the PUP –ECE R. Miranda Page 4  A. 0.2 m/s^2 B. 0.3 m/s^2 C. 0.4 m/s^2 D. 0.5 m/s^2 27. A block of mass of 2 kg slides on an inclined plane that makes an angle of 30°with the horizontal. The coefficient of friction between the block and the surface is√3/2. What force A. 57.1 N should be applied to the block so that it B. 75.1 N moves down without any acceleration? C. 15.7 N A. 4.9 N D. 51.7 N B. 9.4 N C. 5.8 N 30. A 400 g block with an initial speed of 80 cm/s D. 8.5 N slides along a horizontal tabletop against a friction force of 0.70 N. What is the coefficient 28. A body slides down a rough plane inclined to of friction between the block and the the horizontal at 30°. If 70% of the initial tabletop? potential energy is dissipated during the A. 0.18 descent, find the coefficient of sliding friction. B. 0.23 A. 0.303 C. 0.28 B. 0.404 D. 0.33 C. 0.505 D. 0.606 31. A 400 g block with an initial speed of 80 cm/s slides along a horizontal tabletop against a 29. You are lowering two boxes, one on top of the friction force of 0.70 N. How far will it slide other, down the ramp shown figure below by before stopping? pulling on a rope parallel to the surface of the A. 0.18 m ramp. Both boxes move together at a B. 0.36 m constant speed of 15.0 cm/s. The coefficient C. 1.8 m of kinetic friction between the ramp and the D. 3.6 m lower box is 0.444, and the coefficient of static friction between the two boxes is 0.800. 32. A 70 kg box is pulled by a 400 N force at an What force do you need to exert to angle of 30 degrees to the horizontal. The accomplish this? coefficient of kinetic friction is 0.5. Find the acceleration of the box. A. 1.5 m/s^2 B. 2.2 m/s^2 C. 3.8 m/s^2 D. 4.4 m/s^2 PUP –ECE R. Miranda Page 5  33. A 200 N wagon is to be pulled up a 30 degrees C. 35 N incline at constant speed. How large a force D. 44 N parallel to the incline is needed if friction effects are negligible? 37. A 20 kg wagon is pulled along the level ground A. 0.10 kN by a rope inclined at 30 degrees above the B. 0.20 kN horizontal. A friction force of 30 N opposes C. 1.0 kN the motion. How large is the pulling force if D. 2.0 kN the wagon is moving with an acceleration of 0.4 m/s^2? 34. Refer to Figure. If the coefficient of friction A. 22 N between block A and the table is 0.20, block A B. 25 N has a mass of 25 kg, and block B hhas a mass C. 35 N of 15 kg, how far will block B drop in the first D. 44 N 3 s after the system is released? For Question (38-39): A 40.0N force pushes two masses, m1 = 8.00kg and m2 = 4.00kg, across a horizontal surface. The force is directed 30.0° below the horizontal, as shown in the figure. The coefficient of kinetic friction between both masses and the surface is 0.150. A. 8 m B. 11 m C. 17 m D. 22 m 35. A 45 lb boy is moving in a swing. What horizontal pull is needed to one side of the swing until the ropes make an angle of 35 degrees with the vertical? 38. What is the acceleration of the masses? A. 35.7 lb A. a = 3.25 m/s2 C. a = 2.25 m/s2 B. 31.5 lb B. a = 1.17 m/s 2 D. a = 0.33 m/s2 C. 43.7 lb D. 14.5 lb 39. What is the force that m2 exerts on m1? A. F21 = 10.5N (left) C. F21 = 13.2N (left) 36. A 20 kg wagon is pulled along the level ground B. F21 = 10.5N (right) D. F21 = 13.2N (right) by a rope inclined at 30 degrees above the horizontal. A friction force of 30 N opposes 40. A container of mass 200 kg rests on the back the motion. How large is the pulling force if of an open truck. If the truck accelerates at the wagon is moving with constant speed? 1.5m/s2, what is the minimum coefficient of A. 22 N static friction between the container and the B. 25 N bed of the truck required to prevent the PUP –ECE R. Miranda Page 6  container from sliding off the back of the truck? A. 𝜇 =0.531 B. 𝜇 =0.135 C. 𝜇 =0.351 D. 𝜇 =0.153 PUP –ECE R. Miranda Page 7 PSET4 : G4 – PHYSICS3 initially moves 2.0 m/s at parallel to the x-axis. It collides with robot B, which has mass 12 kg 1. A World Series batter hits a home run at a and is initially at rest. After the collision, robot velocity of 40 m/s at an angle of 26° above the A moves at 1.0 m/s in a direction that makes horizontal. A fielder who can reach 3.0 m an angle of 30 degrees with its initial direction. above the ground is backed up against the What is the final velocity of robot B? bleacher wall, which is 110 m from home plate. A. 1.2 m/s The ball was 120 cm above the ground when B. 3.4 m/s hit. How high above the fielder's glove does the C. 2.1 m/s ball pass? D. 4.3 m/s A. 3.0 m B. 6.0 m 4. A pendulum is pulled aside and then released C. 9.0 m as shown in Figure. Determine how fast it is D. 12.0 m moving when it is still 2.00 cm above the bottom of the swing 2. Refer to the Pendulum Illustration shown in the Figure. The string is 0.750 m long and held 40° away from the vertical. If it is released from this point, determine the speed of the pendulum at the bottom. A. 1.12 m/s B. 1.47 m/s C. 2.12 m/s D. 2.47 m/s A. 0.8 m/s B. 1.9 m/s 5. A wheel of 40 cm radius rotates on a stationary C. 2.4 m/s axle. It is uniformly speeded up from rest to a D. 3.3 m/s speed of 900 rpn in a time of 20 s. Find the constant angular acceleration of the wheel. 3. Figure shows two battling robots on a A. 2.2 rad/s^2 frictionless surface. Robot A, with mass 20 kg, B. 4.7 rad/s^2 PUP –ECE R. Miranda Page 1  C. 2.2 m/s^2 9. How long does it take a 2000-Kg car to stop D. 4.7 m/s^2 from a velocity of 35 m/s if a braking force of 4000 Newtons is used? 6. The spin-drier of a washing machine revolving A. 35 s at 900 rpm slows down uniformly to 300 rpm B.17.5 s while making 50 revolutions. What is the C. 8.75 s angular acceleration? D. 10 s A. 2.0 rad/s^2 B. 4.0 rad/s^2 10. A ball kicked from ground level at an initial C. 2.0π rad/s^2 velocity of 60 m/s and an angle θ with ground D. 4.0π rad/s^2 reaches a horizontal distance of 200 meters. What is the size of angle θ in degrees? 7. On a smooth surface, a soft 100-grams ball A at A. 34.8 the velocity of 10 meters per second collides B. 16.5 with another 700-grams ball B initially at rest. C. 28.7 After collision, the two balls stick together and D. 10.6 keep moving in the same direction as ball A. What is the velocity of the two balls after 11. A wheel of 40 cm radius rotates on a stationary collision? axle. It is uniformly speeded up from rest to a A. 1.25 m/s speed of 900 rpn in a time of 20 s. Find the B. 2.5 m/s tangential acceleration of a point on its rim. C. 12.5 m/s A. 1.9 m/s^2 D. 25 m/s B. 4.2 m/s^2 C. 1.9 rad/s^2 8. A 50.0-kg marathon runner runs up the stairs D. 4.2 rad/s^2 to the top of Chicago’s 443-m-tall Willis Tower, the tallest building in the United States. To lift 12. The spin-drier of a washing machine revolving herself to the top in 15.0 minutes, what must at 900 rpm slows down uniformly to 300 rpm be her average power output? while making 50 revolutions. Determine the A. 0.12 hp time required to turn through these 50 B. 0.32 hp revolutions. C. 1.2 hp A. 2.5 s D 3.2 hp B. 4.2 s C. 5.0 s D. 7.2 s PUP –ECE R. Miranda Page 2  13. An object A of mass m1 is moving at a speed v1 D. 4.0 m/s in a straight line to the right. Another object B of mass m2 is moving to the left in the same 16. You throw a ball from your window 8.0 m path as object A but in the opposite direction. above the ground. When the ball leaves your What would be the speed of object B be so that hand, it is moving at 10 m/s at an angle of 20° when the two objects collide they stick to each below the horizontal. How far horizontally other and stop? from your window will the ball hit the ground? A. m1 |v1| / (m1 + m2) Ignore air resistance. B. m1 |v1| / m2 A. 2.9 m C. (m1 + m2) |v1| / m1 B. 4.6 m D. m2 |v1| / m1 C. 6.4 m D. 9.2 m 14. A marksman holds a rifle of mass loosely, so it can recoil freely. He fires a bullet of mass 17. A pendulum is pulled aside and then released horizontally with a velocity relative to the as shown in Figure. Determine its speed at the ground of What is the recoil velocity of the bottom of the swing. rifle? A. 0.385 m/s B. 0.5 m/s C. 1.25 m/s D. 2.5 m/s 15. Refer to Figure. Two gliders with different masses move toward each other on a frictionless air track. After they collide, they travel in opposite direction and glider B has a A. 1.1 m/s final velocity of 2 m/s. What is the final velocity B. 1.6 m/s of glider A? C. 3.1 m/s D. 3.6 m/s 18. Near Pureza St., a 1000-kg car traveling north at 15 m/s collides with a 2000-kg truck traveling east at 10 m/s. The occupants, A. 0.2 m/s wearing seat belts, are uninjured, but the two B. 0.4 m/s vehicles move away from the impact point as C. 2.0 m/s PUP –ECE R. Miranda Page 3  one. The insurance adjustor asks you to find D. 4.47; 48.2; 26.6 the velocity of the wreckage just after impact. What is your answer? 21. Two bodies A and B, having masses mA and mB, A. 2.2 m/s @ 55° respectively, collide in a totally inelastic B. 5.6 m/s @ 22° collision. If body A has initial velocity 𝑣𝐴 and B C. 7.1 m/s @ 49° has initial velocity 𝑣𝐵 , write down an D. 8.3 m/s @ 37° expression for the common velocity of the merged bodies after the collision, assuming 19. A kid is sitting on a toboggan at the top of a there are no external forces. 𝑚𝐴 −𝑚𝐵 23.7m tall hill. If the kid and toboggan have a A.𝑚 𝐴 𝑣𝐴 −𝑚𝐵 𝑣𝐵 total mass of 37.3 kg , determine how fast they 𝑚𝐴 +𝑚𝐵 B.𝑚 will be going when they reach the bottom of 𝐴 𝑣𝐴 +𝑚𝐵 𝑣𝐵 𝑚𝐴 𝑣𝐴 −𝑚𝐵 𝑣𝐵 the hill. Assume there is no friction. C. 𝑚 −𝑚 𝐴 𝐵 A. 18.4 m/s 𝑚𝐴 𝑣𝐴 +𝑚𝐵 𝑣𝐵 D. 𝑚 +𝑚 𝐴 𝐵 B. 21.6 m/s C. 28.5 m/s 22. A projectile,as shown was launched with an D. 31.8 m/s initial velocity of 15 m/s. The projectile hits the incline plane at point M. Find the distance OM. 20. Figure shows an elastic collision of two regular balls on a frictionless table placed at the ground for of CEA. Find the final speed of ball B in m/s and the values of angle alpha and beta in degrees. A. 11 m B. 15 m C. 21 m D. 25 m 23. A ball moving with a speed of 9 m/s strikes an identical stationary ball such that after A. 2.22; 36.9; 15.8 collision, the direction of each ball makes an B. 4.47; 36.9; 26.6 angle 30◦ with the original line of motion. Find C. 2.22; 48.2; 15.8 the speeds of the two balls after the collision. PUP –ECE R. Miranda Page 4  A. 5.19 m/s B. 7.22 m/s C. 12.56 m/s D. 15.17 m/s 24. A 1550-kg car accelerates from rest to 60kph in 90s. How much power is supplied by the engine to accelerate the car? A. 6.4 kW B. 4.4 kW C. 8.4 kW D. 2.4 kW 25. A 1000kg car, travelling east at 30.0m/s, collides with a 3000kg truck, travelling north. After the collision, the vehicles stick together and the combined wreckage moves at 55.0° north of east. What is the speed of the truck before the collision? A. 14.3 m/s B. 12.9 m/s C. 11.8 m/s D. 13.7 m/s PUP –ECE R. Miranda Page 5  PRACTICE EXAM for Summative Exam 1 1. A plant bought calciner for P220,000 and used it for 10 years, the life span of the equipment. What is the book value of the calciner after 5 years of use. Assume a scrap value of P20,000 for the double declining balance method. A. P120,000 B. P72,090 C. P65,570 D. P56,570 2. What is the present worth of P500 deposited at the end of every three months for 6 years if the interest rate is 12% compounded semiannually? A. P8,507 B. P9,568 C. P7,690 D. P6,759 3. Determine the principal that would have to be invested to provide P200 of simple interest income at the end of two years if the annual rate is 9%. A. P.837.35 C. P1111.11 B. P999.95 D. P1402.24 4. What is the basic law that provides for the regulation of radio station, communications in the Philippines and other purposes? A. R. A. 3846 B. D. O. 11 C. D. O. 88 D. D. O. 5 5. Refer to Figure. What is the tension in the cord connecting them? A. 13 N B. 22 N C. 113 N D. 122 N 6. Suppose that a man lends P1000 for four years at 12% per year simple interest. At the end of the four years, he invests the entire amount which he then has for 10 years at 8% per year, compounded annually. How much money will he have at the end of the 14-year period? A. P2021.63 C. P4248.45 B. P3195.21 D. P5020.24 7. Suppose an engineer would like to save PhP 5,000 every year in a fund that gives 10% compounded semi-annually. How much is the amount or future value of his savings after 4 years if the deposits are made every end of the year? A. PhP 22,205 C. PhP 23,333 B. PhP 23,291 D. PhP 24,520 8. How much money should you invest today in an account that earns 5% compounded semi-annually in order to withdraw PhP 10,000 every year for 4 years? A. PhP 34,560 C. PhP 36,540 B. PhP 35,408 D. PhP 36,804 9. Suppose that you make 12 equal annual deposits of P2,000 each into a bank account paying 8% interest per year. The first deposit will be made one year from today.  How much money can be withdrawn from this bank account immediately after the 12th deposit? A. P35,492 B. P37,954 C. P36,218 D. P38,755 10. Miss Catriona deposited P 1,000, P 1,500 and P 2,000 at the end of the 2nd year, 3rd year and 4th year, respectively in a savings account which earned 10% per annum. How much is in the account at the end of the 4th year? A. P 4,880.00 C. P 4,860.00 B. P 4,820.00 D. P 4,840.00 11. A man paid a 10% downpayment of P200,000 for a house & lot and agreed to pay the balance on monthly instalments for 5 years at an interest rate of 15% compounded monthly. What was the monthly instalment in pesos? A. P32,128.87 B. P42,821.87 C. P34,812.67 D. P43,781.67 12. What NTC memorandum circular sets the rules and regulations governing the manufacture, acquisition, sale and service of radio communication equipment? A. MC No. 9-13-98 B. MC No. 8-06-88 C. MC No. 4-22-99 D. MC No. 2-05-88 13. A loan of P10,000 is made for a period of 15 months, at a simple interest rate of 15%, what future amount is due at the end of the loan period? A. P11,875 B. P11,980 C. P12,080 D. P12,075 14. Determine the capitalized cost of a research laboratory which requires P6,000,000 for original construction; P100,000 at the end of every year for the first 6 years and then P120,000 each year thereafter for operating expenses, and P500,000 every 5 years for replacement of equipment with interest at 12% per annum? A. P5.75M B. P6.75M C. P7.75M D. P8.75M 15. The exact simple interest of P5,000 invested from June 21, 1995 to December 25, 1995 is P100. What is the rate of interest? A. 3.90% B. 3.92% C. 3.95% D. 3.98% 16. Which of the following is not true for the qualifications of Board Members of Electronics Engineering?  A. Be a citizen and a resident of the Philippines for 5 consecutive yrs prior to his appointment B. Member of good standing of the APO C. Must not have been convicted of an offense involving moral turpitude D. Be of good moral character and integrity 17. A man wishes to have Php 40,000 in a certain fund at the end of 8 years. How much should he invest in fund that will pay 6% compounded continuously? A. Php 27,857.34 B. Php 24,751.34 C. Php 24,000.05 D. Php 25,770.00 18. What is defined as the reduction or fall of the value of an asset due to constant use and passage of time? A. Depletion B. Inflation C. Depreciation D. Deflation 19. An underwater camera costs P8,000 and an estimated life of 10 years with a salvage value of P500. Using straight line method , determine its book value after 8 years. A. P2,000.00 B. P2,200.00 C. P2,400.00 D. P2,600.00 20. A uniform beam of length L weighs 200 N and holds a 450 N object as shown. Find the magnitudes of the forces exerted on the beam by the two supports at its ends. Assume the lengths are exact. A. F1 = 121 N; F2 = 384 N B. F1 = 121 N; F2 = 438 N C. F1 = 212 N; F2 = 384 N D. F1=212 N; F2=438 N 21. What is the book value of an equipment purchased 3 years ago for P15,000 if it is depreciated using the sum of the years digit method? The expected life is 5 years. A. P2,000.00 B. P3,000.00 C. P4,000.00  D. P5,000.00 22. According to section 2-Statement of Policy, the state shall therefore develop and nurture competent, virtuous, productive, and _____ PECE, ECE, and ECTs A. God-fearing B. religious C. versatile D. well-rounded 23. At age 30 you invest $5,000 into a mutual fund. If the fund averages an 8% annual return, your investment is worth how much at age 55? A. $23,300 B. $34,240 C. $50,310 D. $344,570 24. The value of stock as stated on the stocks certificate A. Stock value B. Par value C. Interest D. Maturity value 25. _______ is a type of bond which does not have security except a promise to pay by the issuing corporation. A. debenture B. coupon bond C. registered bond D. collateral trust bond 26. A sand bag was dropped from a balloon ascending at 10 m/s constant speed. How far will the bag be from the balloon after 10 seconds? A. 189.60 m C. 456.99 m B. 502.12 m D. 490.44 m 27. What is a series of equal payments occurring at equal interval of time where the first payment is made after several periods, after the beginning of the payment? A. Progressive annuity B. Delayed annuity C. Simple annuity D. Deferred annuity 28. A market situation in which two competing buyers exert controlling influence over many sellers. A. Bilateral monopoly B. Oligopoly C. Duopsony D. Duopoly 29. According to Republic Act 10912, _________ refers to what a learner can be expected to know, understand and/or demonstrate as a result of a learning experience.  A. Formal learning B. Informal learning C. Learning outcomes D. Lifelong learning 30. It is stated in this Section of RA 10912 that the PRC and the PRBs, in consultation with the AIPO/APO and other stakeholders, shall promulgate the implementing rules and regulations (IRR) within six (6) months from the effectivity of the CPD Act. A. Section 13 B. Section 14 C. Section 15 D. Section 16 31. The condition in which the total income equals the total operating expenses A. Tally B. Par value C. Check and balance D. Break-even 32. What is the title of Section 6 of RA 9292? A. Categories of Practice B. Nature and Scope of Practice of Electronics Engineering and Electronics Technician Professions C. Composition of the Board D. Powers and Functions of the Board 33. It is also known as second hand value. A. going value B. book value C. salvage value D. scrap value 34. The amount of P2,825 in 8 years at 5% compounded continuously A. P4,166.67 B. P4,188.56 C. P4,397.86 D. 4,214.40 35. Determine the capitalized cost of a structure that requires an initial investment of P 1,500,000 and an annual maintenance of P 150,000. Interest is 15%. A. P2,500,000 B. P2,150,000 C. P1,150,000 D. P1,500,000 36. A CPD Council Secretariat is created at the PRC Central and Regional Offices to provide technical, administrative and operational support to the CPD Councils and the PRBs in the implementation of the CPD Programs. The CPD Council Secretariat shall be headed by an Executive Director to be appointed by the PRC. Under what Section of RA 10912 is this provision mentioned? A. Section 8  B. Section 9 C. Section 10 D. Section 11 37. What is the title of Section 4 of RA 10912? A. Definition of Terms B. Nature of CPD Programs C. Strengthening the CPD Program D. Powers, Functions and Responsibilities of the PRC and the Professional Regulatory Boards (PRBs) 38. The amount of P150,000 was deposited in the bank earning an interest of 7.5% per annum. Determine the total amount at the end of 16 years, if the principal and interest were not withdrawn during the period. A. P477,118.97 B. P471,718.97 C. P411,778.97 D. P487,711.97 39. The resultant force due to the action of four forces is R, which is 100 N along the negative y-axis. Three of the forces are 100 N, 60° above the x-axis; 200 N, 140° above the x-axis; 250 N, 320° above the x-axis. Find the fourth force. A. 120 N, 30° below the x-axis B. 180 N, 60° below the x-axis C. 120 N, 30° above the x-axis D. 180 N, 60° above the x-axis 40. Compute algebraically the resultant of the following coplanar forces: 100 kN @30°, 141.4 kN @45°, and 100 kN @240°. A. 72 kN B. 97 kN C. 132 kN D. 151 kN 41. A pendulum bob has a mass of 0.5 kg. It is suspended by a cord 2 m long which is pulled back through an angle of 36 degrees and released. Find the maximum potential energy at this position relative to its lowest position? A. 1.96 J B. 2.25 J C. 2.82 J D. 3.67 J 42. After being hit, a golf ball starts out with a velocity of 130 ft/s. If it reaches a maximum height of 180 ft, what is its velocity at that point? A. 37.3 ft/s B. 46.4 ft/s C. 64.4 ft/s D. 73.3 ft/s 43. An equipment costs P480,000 and has a salvage value of 10% of its cost at the end of its economic life of 35,000 operating hours. In the first year, it  was used for 4,000 hours. Determine its book value at the end of the first year using straight line method. A. 430,629 C. 340,296 B. 403,269 D. 304,629 44. Three blocks are pushed across a frictionless surface. If the force P = 6.0 N, what is the magnitude of the force that the 3.0 kg block exerts on the 2.0 kg block? A. 8.4 N B. 7.2 N C. 5.6 N D. 4.8 N 45. Starting from rest, an elevator weighing 9.6 kN attains an upward velocity of 5 m/s in 4 seconds with a uniform acceleration. Find the tension in the supporting cable. A. 10.823 kN B. 12.321 kN C. 9.754 kN D. 11.213 kN 46. “Repealing Clause” is provided in what section of RA 10912? A. Section 16 B. Section 17 C. Section 18 D. Section 19 47. A broadcasting corporation purchased an equipment that costs P7,000, last 8 years and has a salvage value of P350. determine the book value during the 4th year using declining balance method. A. P1,711 B. P5,166 C. P1,565 D. P1,645 48. The depth of the crater of Taal volcano was calculated in the following manner. From a helicopter flying vertically upward at 6 m/s, a small bomb was released at the instant the helicopter was 36 m above the crater surface. The sound of explosion was heard 9 seconds later. The speed of sound is 330 m/s. What is the depth of the crater? A. 107 m C. 355 m B. 231 m D. 457 m 49. According to Republic Act 10912, _________ refers to learning that occurs in daily life assessed, through the recognition, validation and accreditation process, and which can contribute to a qualification A. Self-directed learning. B. Informal learning C. Online learning activities D. Lifelong learning 50. A ferris wheel 15 m in diameter makes 1 revolution every 2 minutes. If the center of the wheel is 9 m above the ground, how fast is the passenger in the wheel moving vertically when he is 12.5 m above the ground? A. 24.08 m/min C. 20.84 m/min B. 22.34 m/min D. 25.67 m/min 51. Under what section in R.A. 9292 is the Prohibitions and Limitations on the Practice of Electronics Engineering and Electronics Technician Profession stated? A. Sec. 28 C. Sec. 30 B. Sec. 29 D. Sec. 31 52. A car starting from rest moves with a constant acceleration of 10 mi/hr^2 for 1 hour, then decelerates at a constant -5 mi/hr^2 until it comes to a stop. How far has it travelled? A. 10 mi C. 20 mi B. 15 mi D. 25 mi 53. R.A. 9292, section 7 A. Composition of Boards C. Removal of Board Members B. Power and Functions of the Board D. Ratings 54. “Scope of Examination for Electronics Engineers and Electronics Technicians” is what section in RA 9292 A. 15 B. 16 C. 40 D. 11 55. A car starting from rest picks up at a uniform rate and passes three electric post in succession. The posts are spaced 360 m apart along a straight road. The car takes 10 s to travel from the first post to the second post and takes 6 s to go from the second to the third post. Determine the distance from the starting point to the first post. A. 77.6 m C. 65.3 m B. 73.5 m D. 78.2 m 56. It is stated in this Section of 10912 that fraudulent acts relating to the implementation and enforcement of CPD Act of 2016 shall be punishable under the pertinent provisions of the Revised Penal Code, the New Civil Code and other applicable laws. A. Section 13 B. Section 14 C. Section 15 D. Section 16 57. What is otherwise known as “The PRC Modernization Act of 2000”? A. R.A. 8981 C. P.D. 223 B. R.A. 8189 D. P.D. 1986 58. A ball is dropped into a lake from a diving board 4.9m above the water. It hits the water with velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 5.0 s after it is dropped. Find the average velocity of the ball. A. 4.82 m/s C. 8.82 m/s B. 6.82 m/s D. 10.82 m/s 59. In the last second of a free fall, a body covered three-fourth of its total path. From what height did the body fall? A. 11.6 m C. 19.6 m B. 14.6 m D. 21.6 m 60. A fan rotating with an initial angular velocity of 1000 rev/min is switched off. In 2 seconds, the angular velocity becomes 200 rev/min. Assuming that the angular acceleration is constant, how many revolutions does the blade undergo during this time? A. 80 rev C. 20 rev B. 600 rev D. 400 rev 61. A wheel moves at constant angular acceleration. It starts from rest and it was observed that a point 15 cm from the center of the wheel has a speed of 4m/s after 12 sec. What is the angular acceleration of the wheel? A. 0.66 rads/s2 C. 1.11 rads/s2 B. 0.33 rads/s 2 D. 2.22 rads/s2 62. Starting at the origin of coordinates, the following displacement are made in the xy-plane ( that is, the displacements are coplanar): 60 mm in the +y- direction, 30 mm in the –x-direction, 40 mm at 150o, and 50 mm at 240o. Find the resultant displacement. A. 97 mm at 158o C. 94 mm at 132o B. 87 mm at 202o D. 67 mm at 55o 63. What displacement must be added to a 50 cm displacement in the +x- direction to give a resultant displacement of 85 cm at 25o? A. 48.7 cm at 37o B. 44.9 cm at 53o C. 48.7 cm at 53o D. 44.9 cm at 37o 64. What is the title of Section 20 of RA 9292? A. Issuance of the Certificate of Registration and Professional Identification Card B. Registration without Examination for Electronics Technicians C. Non-issuance of a Certificate of Registration and/or Professional Identification Card for Certain Grounds D. Professional Oath 65. A car starts from rest and moves with a constant acceleration of 5 m/s^2. Find the distance traveled after 4 seconds has elapsed. A. 34 m C. 45 m B. 40 m D. 54 m 66. A bottle dropped from a reaches the ground in 20 seconds. Determine the height of the balloon if it was ascending with a speed of 50 m/s when the bottle was dropped. A. 960 m B. 634 m C. 823 m D. 756 m 67. What is the title of Section 23 of RA 9292? A. Revocation and Suspension of Certificate of Registration, Professional Identification Card and Cancellation of Special Permits B. Reinstatement, Re-issuance or Replacement of Certificate of Registration and Professional Identification Card C. Roster of Professional Electronics Engineers, Electronics Engineers and Electronics Technicians  D. Exemptions from Examination and Registration 68. According to Republic Act 10912, _________ refers to educational arrangements such as curricular qualifications and teaching-learning requirements that take place in education and training institutions recognized by relevant national authorities, and which lead to diplomas and qualifications. A. Formal learning B. Informal learning C. Learning outcomes D. Lifelong learning 69. I want to pass the exam tomorrow. What should I be doing now or what should I have done in the past few days? A. Reviewed B. Manifested C. Ranted on Social medias D. Share lucky in facebook 70. What is the size of seven equal annual payments to repay a loan of P2,000? The first payment is due one year after receiving the loan and the nominal rate of interest is 12%. A. P438 B. P529 C. P631 D. P79