Final Exams PHYS 191 and PHYS 101 PDF

 College of Arts and Sciences Department of Mathematics, Statistics, and Physics Physics Program Instructor: Drs. D. Al-Abdulmalik and H. Merabet Name…….……….………………...

 College of Arts and Sciences Department of Mathematics, Statistics, and Physics Physics Program Instructor: Drs. D. Al-Abdulmalik and H. Merabet Name…….……….………………………..………………………………. Student ID……….………………………………………………………… Section ….……….…………………Student No.………………………… Physics for Engineers I PHYS 191 (all sections), PHYS 101 (all sections) Final Exam, Fall 2012 January 2, 2013 Instructions: 1. Show all the steps of your work. 2. Calculators are permitted but no mobile phones. 3. Include units in all calculations and answers. 4. If additional space is required use the last page and indicate that this has been done. 5. This is a timed exam (120 min). Do not spend too much time in any particular question. 6. A list of important formulae is provided in the last page. Total Questions: /60 Total Problems: /40 Bonus Question: /3 Total: /100 Question 1: (6 pts): The figure below shows the position of an object as a function of time. What is the average speed of the object between time t = 0.0 s and time t = 9.0 s? A) 0.11 m/s B) -0.33 m/s C) 0.33 m/s D) 0.56 m/s E) -0.11 m/s Justification: Question 2: (6 pts) A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays its motion for 1.00 s before starting, what must the constant acceleration of the police car be to catch the speeding car after the police car travels a distance of 300 m? A) 6.00 m/s2 B) 3.00 m/s2 C) 7.41 m/s2 D) 1.41 m/s2 E) 3.70 m/s2 Justification: 2 Question 3: (6 pts) Action-reaction forces are A) equal in magnitude and point in the same direction Justification: B) equal in magnitude but point in opposite directions C) unequal in magnitude but point in the same direction D) unequal in magnitude and point in opposite directions E) none of the above. Question 4: (6 pts) A 60.0-kg person rides in an elevator while standing on a scale. The scale reads 400 N. What is the acceleration of the elevator? A) 3.14 m/s2 downward B) 6.67 m/s2 downward C) zero D) 9.81 m/s2 downward E) 16.67 m/s2 upward Justification: Question 5: (6 pts) A car enters a 300-m radius flat curve on a rainy day when the coefficient of static friction between its tires and the road is 0.600. What is the maximum speed which the car can travel around the curve without sliding? A) 29.6 m/s B) 33.1 m/s C) 24.8 m/s D) 42.0 m/s E) 37.9 m/s Justification: 3 Question 6: (6 pts) A 6.00-kg block starts from rest and slides down a frictionless incline. When the block has slid a distance 2.00 m, its speed is 3.00 m/s. At what angle above the horizontal is the inclined plane tilted? A) 6.58o B) 27.3o C) 8.80o D) 5.26o E) 13.3o Justification: Question 7: (6 pts) mass of 3.0 kg is subject to a force F(x) = 8.0 N - (4.0 N/m)x. The potential energy of the mass is zero at x = 0. What is the potential energy of the mass at x = 2.0 m? A) 4.0 J B) 0.0 J C) 8.0 J D) -4.0 J E) -8.0 J Justification: 4 Question 8: (6 pts) A 1000-kg car approaches an intersection traveling north at 20.0 m/s. A 1200-kg car approaches the same intersection traveling east at 22.0 m/s. The two cars collide at the intersection and lock together. Ignoring any external forces that act on the cars during the collision, what is the velocity of the cars immediately after the collision? A) 29.7 m/s in a direction 47.7o east of north B) 21.1 m/s in a direction 47.7o west of south C) 15.1 m/s in a direction 52.8o east of north D) 21.1 m/s in a direction 52.8o east of north C) 21.1 m/s in a direction 47.7o east of north Justification: Question 9: (6 pts) A wheel rotates through an angle of 320° as it slows down from 78.0 rpm to 22.8 rpm. What is the magnitude of the average angular acceleration of the wheel? A) 2.34 rad/s2 B) 5.48 rad/s2 C) 6.50 rad/s2 D) 8.35 rad/s2 E) 10.9 rad/s2 Justification: 5 Question 10: (6 pts) What is the angular momentum about the origin of a particle with a mass of 500 g when it is located at r 4i 3j 2k m and moving at v 5i 2j 4k m/s? A) 24i 6j 8k 2.34 kg.m2/s B) 12i 3j 4k 5.48 kg.m2/s C) 8i 14j 13k 6.50 kg.m2/s D) 10i 1j 2k 8.35 kg.m2/s E) 4i 13j 11.5k kg.m2/s Justification: 6 Prob blem 1: (16 pts) A blocck of mass m1 and a blo ock of mass m2 are connnected by a massless sttring over a pulleey in the shaape of a solid d disk having nd mass M (II = ½MR2). These bloccks are allow g radius R an wed to move on a fixed block k-wedge of angle a  as in i the figuree below. Thee coefficientt of kinetic ffriction is 0.200 for the incline while thee horizontal plan p is frictionless. The system is seet to motion when a horiizontal forcee F = 100 N is appplied to the left of m1. (aa) Draw freee-body diagrams of both blocks and of the pulleyy when the m mass m1 movves to the lefft. (4 pts)) (bb) Determinee the expresssion of the acceleration a a of the two blocks as fuunction of m1, m2, M, θ, µk, g, and F.. (6 pts)) (cc) Determinee the value of o a for m1 = 4.00 kg, m2 = 10.0 kg, m mass M = 6.00 kg, and  = 20.0. (2 pts)) (dd) Determinee the tension ns in the strin ng on both siides of the ppulley. (4 pts)) F 7 Prob blem 2: (12 2 pts) Consiider the systtem shown in the figurre below wiith m1= 20.00 kg and m2= 12.5 kg suspended and jo oined by a cord c that passes over a pu ulley with raadius R = 0.2200 m and m mass M = 3.000 kg (treat the ppulley as a uniform u diskk with moment of inertiia ). The cordd has negligiible mass annd does not slip on the pulleey. The pulleey rotates on n its axis witthout frictioon. m2 is restting on the ffloor, and m1 is 3.00 m abovve the floor when w it is relleased from rest. ((a) If m1 is allowed a to faall, use conseervation of energy e to finnd the velociity of the maasses just beffore m1 hits the floor.. (8 pts) ((b) Use the kinematics k eqquations to calculate c thee time intervval required ffor m1 to hit the floor. (4 pts) 8 Prob blem 3: (12 pts) A trafffic light han ngs from a pole p as show wn in the figuure below. T The uniform m aluminum pole AB is 8.50 m long and hash a mass 10.0 kgg. The mass of the trafficc light is 19.5 kg. Determine: (a) thhe tension in n the horizon ntal masslesss cable CD. (6 pts) (b) the vertical and a horizontaal componen nts of the forrce exerted bby the pivot A on the aluuminum polee. (6 pts) 30o 9 Extra Credit Question: (3 pts): Calculate the true mass (in vacuum) of a piece of aluminum whose apparent mass (because of buoyancy) is 20.000 kg when weighed in air. End of the exam Best Wishes 10 Use the following empty space below as extra-space for your answers when needed and indicate the corresponding question and/or problem number 11 College of Arts and Sciences Department of Mathematics, Statistics, and Physics Physics Program PHYS191 Spring 2014 15th June 2014 PHYS191 Final Exam Instructors: Dr K. Al-Qadi, Dr M. Al-Muraikhi, Dr. L. Al-Sulai, Dr. M. Zayed Student Name: ……………………………………. Student ID: ………………………………………… Section number: …………………………………… Please read the instructions carefully:  Make sure you have 9 pages including the cover page, including 2 parts A and B.  Part A consist of 10 multiple choice questions where you select only one of the proposed answers.  Part B consists of four problems that you have to solve all.  Calculators are permitted, but no electronic dictionaries.  Mobile devices and cell phones are strictly forbidden.  All work must be done on exam paper, no loose paper is allowed.  This is a timed exam (120 minutes). Manage your time and do not spend too much time on any particular question. 1) In the figure, the block of mass m is at rest on an inclined plane that makes an angle with the horizontal. The force of static friction must be such that A). B). C). D). E) 2) A person carries a mass of and walks along the +x-axis for a distance of with a constant velocity of. What is the work done by gravity on the mass? A) 0 J B) 20 J C) 200 J D) 1000 J E) None of the other choices is correct. 3) A mass of is subject to a force. The potential energy of the mass is zero at. What is the potential energy of the mass at ? A) 4.0 J B) 0.0 J C) 8.0 J D) -4.0J E) -8.0 J 4) At what rate is a boy using energy when he runs up a flight of stairs high, in ? A) 80.0 W B) 75.0 W C) 736 W D) 4.80 kW E) 48 W 5) Ahmed and Ali meet in the middle of a lake while paddling in their small boats (each person in a separate boat). They come to a complete stop and talk for a while. When they are ready to leave, Ahmed pushes Ali’s boat with a force ⃗ to separate the two boats. What is correct to say about the final momentum and kinetic energy of the system? A) The final momentum is in the direction of ⃗ but the final kinetic energy is zero. B) The final momentum is in the direction opposite of ⃗ but the final kinetic energy is zero J. C) The final momentum is in the direction of ⃗ and the final kinetic energy is positive. D) The final momentum is zero kg∙m/s and the final kinetic energy is zero J. E) The final momentum is zero kg∙m/s but the final kinetic energy is positive. 6) A mass object traveling east at collides with a mass object traveling west at. After the collision, the mass has a velocity to the west. How much kinetic energy was lost during the collision? A) 0.00 J B) 458 J C) 516 J D) 91.7 J E) 175 J 7) Consider a hoop of radius and mass rolling without slipping. Which form of kinetic energy is larger, translational or rotational? A) Translational kinetic energy is larger. B) Rotational kinetic energy is larger. C) Both are equal. D) You need to know the speed of the hoop to tell. E) You need to know the acceleration of the hoop to tell. 8) A string is wrapped around a pulley with a radius of. The pulley is initially at rest. A constant force of is applied to the string, causing the pulley to rotate and the string to unwind. If the string unwinds , what is the value of the moment of inertia of the pulley? A) 0.17 B) 17 C) 14 D) 0.20 E) 0.017 9) A merry-go-round spins freely when moves quickly to the center along a radius of the merry-go-round. It is true to say that: A) the moment of inertia of the system decreases and the angular speed increases. B) the moment of inertia of the system decreases and the angular speed decreases. C) the moment of inertia of the system decreases and the angular speed remains the same. D) the moment of inertia of the system increases and the angular speed increases. E) the moment of inertia of the system increases and the angular speed decreases. 10) A force at ⃗ ̂ ̂ is applied to an object at position ⃗⃗ ̂ ̂. What is the torque about the origin? A) ̂ ̂ B) ̂ C) ̂ ̂ D) ̂ E) ̂ Problem 1) (5 marks) A block is set into motion up an inclined plane with an initial speed of , as in the figure. The block comes to rest after traveling along the plane, which is inclined at an angle of to the horizontal. For this motion determine: (a) the change in the block’s kinetic energy, (b) the change in the potential energy of the block-Earth system, (c) the mechanical energy converted due friction, (d) the friction force exerted on the block (assumed to be constant), and (e) what is the coefficient of kinetic friction? ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… Problem 2) (5 marks) Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Initially ball A is moving upward along the y-axis at , and ball B is moving to the right along the x-axis with speed. After the collision (assumed elastic), the second ball is moving along the positive y-axis (See figure). a) What is the speed of ball A after the collision? b) What is the speed of ball B after the collision? c) In what direction is ball A moving after the collision? d) What is the total momentum of the two balls after the collision? e) What is the total kinetic energy of the two balls after the collision? ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… Problem 3) (5 marks) An Atwood machine consists of two masses, and , which are connected by an inelastic cord of negligible mass that passes over a pulley. If the pulley, which is approximated as a cylinder, has a mass. a) Derive the equation of the acceleration of the system. b) Calculate the acceleration of the system. c) Calculate. d) Calculate. ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… Problem 4) (5 marks) A bullet of mass moving with velocity strikes and becomes embedded at the edge of a cylinder of mass and radius The cylinder, initially at rest, begins to rotate about its symmetry axis, which remains fixed in position. Assume no frictional torque. Calculate: a) the total angular momentum of the system, with respect to origin, before the collision; b) the total angular momentum of the system, with respect to origin, after the collision; c) the angular velocity of the cylinder after this collision; d) the initial and final kinetic energies; e) is kinetic energy conserved? ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………………………………………………………………………………  Colllege of Artss and Sciencces Department of o Mathemaatics, Statistics, and Phyysics Phyysics Prograam Instructor: Dr.. Maitha Al‐‐Muraikhi, Dr. D Hocine Merabet, M Drr. Ahmad Ayyesh, Dr. Mohammad Gharaibeeh Name……… ……………………………………..…….……………… ………….…… Student ID… ………………… ………..…….Lisst #…….……… ……………… Section:……………………… ….………………………………… ……….………. 30 Gen neral Physsics for En ngineers I PHYS 191 and Gene eral Physics I PHYS 101 5 Fall 2015 F Final Exam m Jannuary 2, 20 016 Please readd the following g instructions carefully befoore you start answering: a 1. Maake sure that you y have 8 pagges including two parts, A and a B. Part A consists of 155 multiple chooice questions,, whhile Part B connsists of 3 prooblems. 2. Annswer all the questions q and show all the steps s of your work w in part B in a clear tidyy way. 3. Caalculators are permitted p but no electronic dictionaries. 4. Incclude units in all calculationns and answerrs. 5. All your work must m be done on your exam m paper; no loose l papers are a allowed. If I additional space s is reqquired use the last page andd indicate that this has been done. 6. Thhis is a timed exam e (120 minn). Do not speend too much time in any paarticular questtion. Good Luck 1  Useeful Informattion   A sin  | A  B |  AB     A cos. A B  AB AB  AB x x  AyBy  AB z z mr i i rCM  i M I  ri2mi , I  ICM M  MD 2 i ∑ , , , Young’s moodulus is ten nsile stress divided d by teensile strain n and is given n by Y = (F/AA)(l0/l) Bulk modullus is bulk stress s divided by bulk sttrain and is given by B = –p//(V/V0). Sheer modu ulus is sheerr stress divid ded by sheerr strain, andd is given by y S = (F||/A A)(h/x) 2  Part A: Please choose the correct answer for each question Question 1: (1 pt) You walk 55 m to the north, then turn 60° to your right and walk another 45 m. How far are you from where you originally started? A) 87 m B) 50 m C) 94 m D) 46 m Question 2: (1 pt) Suppose that a car traveling to the west (the -x direction) begins to slow down as it approaches a traffic light. Which statement concerning its acceleration in the x direction is correct? A) Both its acceleration and its velocity are positive. B) Both its acceleration and its velocity are negative. C) Its acceleration is positive but its velocity is negative. D) Its acceleration is negative but its velocity is positive. Question 3: (1 pt): A fire fighter 32 m away from a building directs a stream of water from a fire hose at an angle of 37o with a muzzle speed of 40 m/s. At what height h does the stream hits the building? A) 21.93 m B) 22.51 m C) 19.20 m 37 0 32 m D) 20.97 m Question 4: (1 pt) A ball is tied to the end of a cable of negligible mass. The ball is spun in a circle with a radius 2.00 m making 7.00 revolutions every 10.0 seconds. What is the magnitude of the acceleration of the ball? A) 67.9 m/s2 B) 38.7 m/s2 C) 29.3 m/s2 D) 14.8 m/s2 Question 5: (1 pt) The 15-kg block is being pushed up the incline with constant acceleration equals to 2 m/s2. The surfaces are rough. Find the net force (resultant) acting on the block? A) 30N B) 15N F1 C) 150N D) 300N 15kg F2  3 Question 66: (1 pt) Yo ou push dow wnward on a box at ann angle 25° below the horizontal h w with a forcee of 750 N. IIf the box iss on a flat horizontal su urface for which w the coefficient off static frictiion with thee box is 0.766, what is thhe mass of thhe heaviest box you wiill be able to o move?  A) 59 kg B) 68 kg F C) 54 kg D) 82 kg Question 7: (1 pt) Swimmers S a a water park at p have a choice off two frictionless wateer slides ass shown in thhe figure. Although A booth slides drrop over the same heighht, h, slide 1 is straight while slidee 2 is curvedd, droppingg quickly at first and thhen levelingg out. How does the sp peed v1 of a swimmerr reaching thhe end of sliide 1 compaares with v2, the speed of a swimm mer reaching g the end off slide 2? A) v1 > v2 B) v1 < v2 C) v1 = v2 D) No simple relationshipp exists bettween v1 annd v2 becauuse we do not n know thhe curvaturee of sslide 2. Question 88: (1 pt) In a collision between twwo objects having h uneq qual massess, how doess magnitudee of the impuulse imparted to the ligghter objectt by the heaavier one co ompare withh the magniitude of thee impulse im mparted to thhe heavier object o by thee lighter onne? A) The lighterr object receeives a largeer impulse. B) The heavierr object receeives a largger impulse. C) Both objectts receive thhe same imppulse. D) The answerr depends on the ratio of o the massees. Question 9 : (1 pt) A firecrackeer breaks upp into severral pieces, oneo of whicch has a maass of 200 g and flies offf along thee x-axis withh a speed off 82.0 m/s. A second piece has a mass m of 3000 g and fliess off along tthe y-axis with w a speeed of 45.0 m/s. m What are a the maggnitude andd direction of the totall momentum m of these tw wo pieces? A) 3361 kg·m/s at a 56.3° from the x-axiis B) 993.5 kg·m/s at 28.8° froom the x-axiis C) 221.2 kg·m/s at 39.5° froom the x-axiis D) 3361 kg·m/s at a 0.983° frrom the x-axxis Question 10: (1 pt) As A you are leaving a building, thhe door opeens outwardd. If the hinnges on thee door are onn your rightt, what is thee direction of the angular velocity y of the doorr as you opeen it? A) up B) down C) to your left ht D) to your righ 4 Question 111: (1 pt) While W spinniing down frrom 500.0 rppm to rest, a solid unifform flywheeel does 5.1 kJ of workk. If the radius of the disk is 1.2 m,, what is its mass? I=0..5MR2 A) 5.2 kg B) 4.4 kg C) 6.0 kg D) 6.8 kg Question 12: (1 pt) A torque of o 12 N · m is appliedd to a solid d, uniform disk d of radiius 0.50 m,, W is the mass of thee disk? I=0.5MR2 5 rad/s2. What causing thee disk to acccelerate at 5.7 A) 17 kg B) 13 kg C) 8.5 kg D) 4.3 kg Question 113: (1 pt) A cylinder isi rolling onn a flat horiizontal surfface. The veelocity of thhe center off mass of thhis cylinderr at point A is 2m/s, what w is thee distance (d) ( that it moves m on thhe inclinedd surface beffore coming g to rest (at point B) mo MR2). omentarily?? (Ic.m(cylindder) = 0.5M A A) 0.15 m B B) 1.38 m C) 2.45 m D D) 0.61 m d 30o A Question 14: 1 (1 pt) ) A puck on a frictionlesss air hockeey table has a mass of 5.0 5 g and is attached too a cord passsing through h a hole in the surface as in the fiigure. The puck p is revoolving at a distance d 2.00 m from thhe hole witth an anguular velocityy of 3.0 raad/s. The cord c is thenn pulled frrom below,, shortening the radius to t 1.0 m. Thhe new anguular velocityy (in rad/s) is: A) 4.0 B) 66.0 C) 12 D) 2.0 Question 115: (1 pt) A 0.600-mm m diameter wire stretchhes 0.500% % of its leng gth when it is stretchedd with a tenssion of 20.0 N. What iss the Youngg's moduluss of this wiree? A) 5.66 × 10100 N/m2 2 B) 3.54 × 109 N/m N 2 C) 1.41 × 10100 N/m 2 D) 6.43 × 109 N/m 5  Paart B: Pleasse solve the following f p problems shoowing all thhe steps of your solutionns.  Problem 11: (5 pts) A 10-g bullett moving 10 000 m/s striikes and passses throughh a 2-kg bloock initiallyy at rest, as shown. Thee bullet emeerges from the block with w a speedd of 400 m/s. m To whatt maximum m height willl the block rise r above itts initial possition? 6 Problem 22: (5 pts) Thhe pulley inn the figure below has radius 0.16 60 m and moment m of innertia 0.5600 2 kg.m. Thhe rope doess not slip onn the pulleyy rim. Use energy e methhods to calcculate the speed of thee 4.00-kg bloock just beffore it strikees the floor. 7 Problem 33: (6 pts) A hungry beaar weighingg 700 N wallks out on a beam in an a attempt too retrieve a basket of ffood hanging at the endd of the beam m. The beam m is uniform m, weighs 200 2 N, and is i 6 m long;; the basket weighs 80 N. N (a) Draw a free-body diagram d forr the beam. (b) When tthe bear is at a x = 1 m, find f the tenssion in the wire w and thee componen nts of the foorce exertedd by the walll on the leftt end of the beam. E of Exam End m 8 College of Arts and Sciences Department of Mathematics, Statistics, and Physics Physics Program General Physics for Engineering I PHYS 191 Spring 2016 9th June 2016 Instructors: Dr. M. Al-Muraikhi, Dr. A. Shalaby, Dr. H. Merabet, Dr. D. Al-Abdulmalik, Dr. L. Al-Sulaiti, Dr. M. Gharaibeh FINAL EXAM 30 Student Name: Student ID: Section number: Please read the following instructions carefully before you start answering 1. Make sure that you have 9 pages including two parts, A and B. Part A consists of 10 multiple choice questions, and part B consists of 4 problems. 2. Calculators are permitted but no electronic dictionaries or mobile phones. 3. All your work must be done on your exam paper; no loose papers are allowed. 4. This is a timed exam (120 min). Do not spend too much time on any particular question. Best Wishes 1  Useful Information ∆ ∆ ∆ ̂ ̂ , , lim∆ → ∆ , , ∆ ∆ ∆ lim∆ → ∆ , , 2 , , , ∑ , , , , ∙ , ∅ , ∅ ∥. , ∆ , , , , ∆ , ∆ , , ̂ ̂ ∆ ,. , ∆ , ∑ , ∑ ∆ , ∑ , , , , , , 2 , , , , ∅ , , ∑ , ∑ , ∆ , , ∆ , , , , ⋯ , , ∑ , , ⋯ Stress ⁄ ∆ ∥⁄ Elastic modulus , , , , , Strain ∆⁄ ∆ ⁄ ⁄ g = 9.80 m/s2 2 Part A. Please choose the correct answer for each question. Circle your choice using pen. 10 Make sure that only ONE of the alternatives is chosen for each question. Two answers to one question will result in loss of the mark of that question 1. A box of mass m is pulled with a constant acceleration a along a horizontal frictionless floor by a wire that makes an angle of 15° above the horizontal. If T is the tension in this wire, then A. T < ma B. T > ma C. T = ma D. T=0 E. none of the above 2. A 600-kg car is going around a banked curve with a radius of 110 m at a speed of 24.5 m/s. What is the appropriate banking angle so that the car stays on its path without the assistance of friction? A. 13.5o B. 29.1o C. 33.8o D. 56.2o E. 60.9o 3. An 8.0-kg block is released from rest on a rough incline as shown in the figure. The block moves a distance of 1.6-m down the incline in a time interval of 0.80 s and acquires a velocity of 4.0 m/s. How much work does gravity do on the block during this process? A. +120 J B. +100 J C. -100 J D. +81 J E. -81 J 4. It requires 49 J of work to stretch an ideal very light spring from a length of 1.4 m to a length of 2.9 m. What is the spring constant of this spring? A. 11 N/m B. 15 N/m C. 22 N/m D. 29 N/m E. 44 N/m 3 5. Two objects, one of mass m and the other of mass 2m, are dropped from the top of a building. When they hit the ground A. both of them have the same kinetic energy. B. the heavier one will have twice the kinetic energy of the lighter one. C. the heavier one will have four times the kinetic energy of the lighter one. D. the heavier one will have √2 times the kinetic energy of the lighter one. E. none of the above choices is correct. 6. A batter hits a 0.140-kg baseball that was approaching him at 40.0 m/s and, as a result, the ball leaves the bat at 30.0 m/s in the direction of the pitcher. What is the magnitude of the impulse delivered to the baseball? A. 1.40 N.s B. 4.90 N.s C. 5.60 N.s D. 7.00 N.s E. 9.80 N.s 7. As you are leaving a building, the door opens outward. If the hinges on the door are on your left, what is the direction of the angular velocity of the door as you open it? A. Up B. Down C. To your right D. To your left E. Forwards 8. A 4.50-kg wheel that is 34.5 cm in diameter rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s. What is the magnitude of the angular acceleration of the wheel? A. 0.616 rad/s2 B. 5.45 rad/s2 C. 10.9 rad/s2 D. 22.5 rad/s2 E. 111 rad/s2 4 9. A skater rotating at 5.00 rad/s with her arms extended has a moment of inertia of 2.25 kg·m2. If she pulls in her arms so the moment of inertia decreases to 1.80 kg·m2, what is her final angular speed? A. 0.810 rad/s B. 1.76 rad/s C. 2.25 rad/s D. 4.60 rad/s E. 6.25 rad/s 10. A cable is 100-m long and has a cross-sectional area of 1 mm2. A 1000-N force is applied to stretch the cable. If the elastic modulus for the cable is 1.0 × 1011 N/m2, how far does it stretch? A. 0.001 m B. 0.01 m C. 0.10 m D. 1.0 m E. 10 m 5 Part B. Please solve the following problems using pen and showing all the steps of your solution in a clear tidy way. 20 1. Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide together. Asteroid A, which was initially traveling at 40.0 m/s, is deflected 30.0° from its original direction, while asteroid B, which was initially at rest, travels at 45.0° to the original direction of A (see figure below). A. Find the speed of each asteroid after the collision. (4 points) B. What fraction of the original kinetic energy dissipates during this collision? (2 points) 6 2. A string is wrapped several times around the rim of a small hoop with radius R = 8.00 cm and mass M = 0.180 kg. The free end of the string is held in place and the hoop is released from rest. The moment of inertia for a hoop with an axis at the center is MR2. After the hoop has descended 75.0 cm, use conservation of energy method to calculate: A. the angular speed of the rotating hoop. (4 points) B. the speed of the center of mass of the hoop. (1 points) 7 3. A block with a mass of 5.00 kg slides down a surface inclined 36.9o to the horizontal as shown in the figure. The coefficient of kinetic friction between the block and the incline is 0.25. A string attached to the block is wrapped around a pulley on a fixed axis at O. The pulley has a mass of 25.0 kg and a moment of inertia 0.500 kg.m2. The string pulls without slipping at a perpendicular distance of 0.200 m from the pulley’s axis. A. What is the acceleration of the block down the plane? (4 points) B. What is the tension in the string? (2 points) 8 4. A shop sign weighing 215 N is supported by a uniform 155-N beam as shown in the figure below. A. Find the tension in the wire between the beam and the wall. (3 points) B. Find the horizontal and vertical forces exerted by the hinge on the beam. (3 points) 9 College of Arts and Sciences Department of Mathematics, Statistics, and Physics Physics Program General Physics I (PHYS101) & General Physics for Engineering I (PHYS191) Spring 2017 7th June 2017 Instructors: Dr. M. Al-Muraikhi, Dr. A. Ayesh, Dr. M. Gharaibeh Final EXAM Student Name: Student ID: 30 Section number: List Number: Please read the following instructions carefully before you start answering 1. Make sure that you have 9 pages including two parts, A and B. Part A consists of 11 multiple choice questions, and part B consists of 4 problems. 2. Calculators are permitted but no electronic dictionaries or mobile phones. 3. All your work must be done on your exam paper; no loose papers are allowed. 4. This is a timed exam (120 min). Do not spend too much time on any particular question. Best Wishes 1  Useful Information | A B |  AB sin A B  AB cos. A  B  Ax Bx  Ay By  Az Bz ⃗ | = 𝒓𝒎𝒗 𝒔𝒊𝒏𝜽 , 𝑳 = 𝐼𝝎 |𝑳 ⃗ 𝒅𝑳 ∑𝝉 ⃗⃗ = 𝒓 ⃗ =𝐼𝜶 ⃗ = ⃗ ×𝑭 , 𝟏 𝟏 𝑲𝑹𝒐𝒍𝒍𝒊𝒈 = 𝟐 𝑰𝑪𝑴 𝝎𝟐 + 𝟐 𝑴𝒗𝟐𝑪𝑴 𝒗𝑪𝑴 = 𝑹𝝎 𝒅𝒕 Young’s modulus is tensile stress divided by tensile strain and is given by Y = (F/A)(l0/l) Bulk modulus is bulk stress divided by bulk strain and is given by B = –p/(V/V0). Sheer modulus is sheer stress divided by sheer strain, and is given by S = (F||/A)(h/x) 2 Part A: Please choose the correct answer for each question 11 1- If 𝐶 = −3𝑖̂ − 2𝑗̂ − 4𝑘̂ what is 𝐶 × 𝑗̂ ? A) +4𝑖̂ − 3𝑘̂ B) +3𝑖̂ − 4𝑘̂ C) −3𝑖̂ − 4𝑘̂ D) +4𝑖̂ + 2𝑗̂ − 3𝑘̂ E) −3𝑖̂ − 2𝑗̂ + 4𝑘̂ 2- Two objects are dropped from a bridge, an interval of 1.0 s apart, and experience no appreciable air resistance. As time progresses, the DIFFERENCE in their speeds A) increases. B) decreases. C) increases at first, but then stays constant. D) remains constant. E) decreases at first, but then stays constant. 3- A ball is tied to the end of a cable of negligible mass. The ball is spun in a circle with a radius 2.00 m making 4.00 revolutions every 10.0 seconds. What is the magnitude of the acceleration of the ball? A) 19.7 m/s2 B) 28.4 m/s2 C) 50.5 m/s2 D) 38.7 m/s2 E) 12.6 m/s2 4- Puck slides a total of 12 m before coming to rest. If the coefficient of kinetic friction between the puck and the horizontal board is 0.18, what was the initial speed of the puck? A) 10.6 m/s B) 9.5 m/s C) 6.5 m/s D) 8.1 m/s E) 11.7 m/s 3 5- A block slides down a frictionless inclined ramp. If the ramp angle is 13.0° and its length is 30.0 m, find the speed of the block as it reaches the bottom of the ramp, assuming it started sliding from rest at the top. A) 13.1 m/s B) 11.5 m/s C) 12.3 m/s D) 13.8 m/s E) 14.5 m/s 6- In a collision between two objects having unequal masses, how does magnitude of the impulse imparted to the lighter object by the heavier one compare with the magnitude of the impulse imparted to the heavier object by the lighter one? A) The lighter object receives a larger impulse. B) The heavier object receives a larger impulse. C) The answer depends on the ratio of the masses. D) The answer depends on the ratio of the speeds. E) Both objects receive the same impulse. 7- When you ride a bicycle, in what direction is the angular velocity of the wheels? A) to your left B) to your right C) forwards D) backwards E) up 8- A uniform solid sphere has a moment of inertia I about an axis tangent to its surface. What is the 2 moment of inertia of this sphere about an axis through its center? 𝐼𝐶𝑀 = 5 𝑀𝑅 2 A) 1/7 I B) 3/5 I C) 2/5 I D) 2/7 I E) 7/5 I 9- A solid, uniform sphere of mass 2.0 kg and radius 1.1 m rolls from rest without slipping down an inclined plane of height 7.0 m. What is the angular velocity of the sphere at the bottom of the 2 inclined plane? 𝐼𝐶𝑀 = 5 𝑀𝑅 2 A) 7.6 rad/s B) 6.6 rad/s C) 5.2 rad/s D) 5.8 rad/s E) 9.0 rad/s 4 10- A skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.00 kg∙m2. If the arms are pulled in so the moment of inertia decreases to 1.80 kg∙m2, what is the final angular speed? A) 8.33 rad/s B) 6.94 rad/s C) 5.56 rad/s D) 6.25 rad/s E) 9.72 rad/s 11- A shear force of 350 N is applied to one face of an aluminum cube with sides of 30 cm while the opposite face is held fixed in place. What is the resulting displacement of the face? (The shear modulus for aluminum is 2.5 × 1010 N/m2) A) 5.3 × 10-8 m B) 4.7 × 10-8 m C) 6.0 × 10-8 m D) 7.3 × 10-8 m E) 8.7 × 10-8 m 5 Part B: Please solve the following problems showing all the steps of your solutions. 20  Problem 1: Block A in the figure has mass 2.00 kg, and block B has mass 5.00 kg. The blocks are forced together, compressing a spring S between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block B acquires a speed of 1.80 m/s. (a) What is the final speed of block A? (1.5 pts) (b) How much potential energy was stored in the compressed spring? (2.5 pts) (c) What was the maximum compression in the spring if the spring constant 500 N/m. (1 pts) 6 Problem 2: When a 3.75-kg fan, having blades 22.5 cm long, is turned off, its angular speed decreases uniformly from 11.0 rad/s to 7.20 rad/s in 6.00 s. (a) What is the magnitude of the angular acceleration of the fan? (2 pts) (b) Through what angle (in degrees) does it turn while it is slowing down during the 6.00 s? (1 pt) (c) If its angular acceleration does not change, how long after it is turned off does it take the fan to stop. (2 pts) 7 Problem 3: Two blocks m1 = 13.0 kg and m2 = 23.0 kg, as shown in the figure, are connected by a string of negligible mass passing over a pulley of radius 0.300 m and moment of inertia I. The block on the frictionless incline is moving up with a constant acceleration of 2.50 m/s2. (a) Determine T1 and T2, the tensions in the two parts of the string. (3 pts) (b) Find the moment of inertia of the pulley. (2pts) 8 Problem 4: An 92.0 kg-diver stands at the edge of a light 5.00-m diving board, which is supported by two narrow pillars 1.60 m apart, as shown in the figure. Find the magnitude and direction of the force exerted on the diving board (a) Draw a sketch showing the forces that acting on the board. (1pts) (b) by pillar B. (2pts) (c) by pillar A. (2 pts) 9