Advanced Maths Q&A (1) PDF

1. A rectangular box having a mass of 100 kg is resting on a horizontal surface having a coefficient of friction of 0.3. The amount of force required to set this box on motion must exceed: 100kg a. 100 Newtons b. 300 Newtons c. 294 Newtons d....

1. A rectangular box having a mass of 100 kg is resting on a horizontal surface having a coefficient of friction of 0.3. The amount of force required to set this box on motion must exceed: 100kg a. 100 Newtons b. 300 Newtons c. 294 Newtons d. 60 Newtons Ans) C 2. A box weighing 300lb is resting on an inclined surface having a coefficient of friction of 0.4. The force necessary to set this box in motion up the inclined surface must exceed: a. 50.0 lb b. 193.5 lb Ff c. 140.0 lb F d. 77.6 lb 15* 300lbs Ans)B 3. A box weighing 100lbs is acted upon by a force of 1,000lbf. Assuming a coefficient of friction 0.3, what is the acceleration of the box? Ff 1000 lbf 100lbs Ans) 312ft/sec2 4. A car is travelling with a speed of 65 miles per hour. The driver applies the brake, and the car slows down with a constant deceleration (negative acceleration) of 10ft./sec2. How long would it take for the car to come to a complete stop and what is the distance that the car travels before it comes to a complete stop? Ans) T= 9.5 seconds, S= 454.2ft 5. A worker weighing 200lbs. Slips on a 15degree ramp and travels 10 feet before hitting a wall at the end of the ramp. If the coefficient of friction between the worker’s shoes and the ramp is 0.1, the worker’s velocity (assume constant acceleration) just when he hits the wall is: a. 50 ft/sec b. 100 ft/sec Ff c. 70 ft/sec 15* d. 10 ft/sec Wall 200lbs Ans) D 6. An object is dropped from the top of a building (no initial velocity). Assuming no air resistance (free fall), if it takes 2.5 seconds for this object to reach the ground, the height of the building is: a). 225.7ft b). 100.6ft c). 58.2ft d). 75.8ft Ans) B 7. Calculate the kinetic energy of an object which has a mass of 100kg and travelling with a speed of 10 meter per second? a). 3000 Joules b). 5000 Joules c). 1000 Joules d). 4000 Joules Ans) B 8. The kinetic energy of a 100lbm object moving with a velocity of 10ft/sec is? a). 1000 ft.lbf b). 5000 ft.lbf c) 155 ft.lbf d) 310 ft. lbf Ans) C 9. A 100lbm object is dropped from the top of a 100ft tall building. How long would it take for this object to reach the gound? What is the velocity and kinetic energy of this object just before it hits the ground? What was its potential energy before release from the top of the building? Ans) V= 80.24ft/sec, T = 24.9sec, K.E= 10,000lbf, P.E= 10,000lbf 10. The maximum load rating for a two-leg sling having an operating tension rating in each leg equal to 3,000lbs and each leg making a 45 degree angle with the vertical is: a). 4,765 lb b). 5,000 lb c). 3,800 lb d). 4,242 lb Ans) D 11. A two-leg sling has a maximum operating tension of 2,500lbs in each leg. The sling is used to hold a load of 4000 lbs. What should the minimum angle of each leg with the vertical be to safely support this load? a) 52.7 degrees b) 12.9 degrees c) 36.8 degrees d) 49.6 degrees Ans) C 12. A conductor 10ft long with a circular cross section having a diameter of 1/8 of an inch, and a resistivity of 5 x 10 -3 ohm-inch has an electrical resistance equal to a) 83.2 ohms b) 48.9 ohms c) 72.6 ohms d) 28.7 ohms Ans) B 13. In the electrical circuit shown in the diagram below, all resistors can be replaced with a single resistor which has a resistance of a) 20.00 ohms b) 13.67 ohms c) 8.33 ohms d) 0.05 ohms Ans) C 14. The equivalent capacitance for the circuit shown below is a) 11.25 μF b) 1.15 μF c) 13.72 μF d) 26.72 μF Ans) B 15. An electrical circuit connected to a potential difference of 120 volts is shown in the diagram. The resistor R1 has a length of 1 inch and a diameter of ¼ inch and a resistivity of 20 ohms-inches. Resistors R2, R3, R4, and R5 have values of 20, 30, 40, and 50 ohms respectively. The capacitors C1, C2, and C3, have values of 8, 15, and 20 μF, respectively. It has been decided to modify this circuit by replacing all resistors with a single resistor, and all capacitors with a single capacitor. The single resistor and capacitor have which of the following values: a) 110.7 ohms, 43 μF b) 414.8 ohms, 6.5 μF c) 216.5 ohms, 92.7 μF d) 72.8 ohms, 12.7 μF Ans) B