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Physics Department Physics 101 Final Exam Summer 2010 Sunday, August 8, 2010 2:00 p.m. – 4:00 p.m. Student’s Name: ……...…………………………….…………………………………….………… Student’s Number: ….……………………………………………………………………………… Choose your Instructor’s Name: Dr. Adnan Al-Yaseen Dr. Abdul-Mohsen Ali Dr. Tareq Alrefae Dr. Abdulnasser Burezq Dr. Fatma Al-Dossari Dr. Ashraf Zaher P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14 P15 P16 P17 P18 P19 P20 Points Points Total Important: 1. Answer all questions and problems. 2. Each question/problem will be assigned 1 point. 3. No solution = no points. 4. Check the correct answer for each question/problem. 5. Assume g = 10 m/s2. 6. Mobiles and pagers are not allowed during the exam. 7. Programmable calculators, which can store equations, are not allowed. GOOD LUCK * Kuwait University – Science College – Physics dept. – PHYS 101 Summer 2010 (08/08/10) 1. The cross product of vector A with itself ( A × A ) is: (a) (b) (c) (d) (e) A2 2A A Zero 1 2. A disk is rotating in the clockwise direction as shown with an angular velocity ω and an angular acceleration α. Which of the following statements is correct? (a) ω and α are the same for all points on the disk. (b) ω is the same for all points on the disk, but α is different for each point. (c) α is the same for all points on the disk, but ω is different for each point. (d) ω and α are both different for each point on the disk. (e) None of the above. 3. A disk is rotating in the clockwise direction about an axis that goes through its center. Points a and b have linear velocities va and vb respectively. Which of the following statements is correct? (a) (b) (c) (d) (e) a b va > vb va = vb va < vb va = 0 vb = 0 4. The shown ring and solid disk have the same mass and radius. Which of the following is correct about their moments of inertia ( Iring and Isolid )? (a) (b) (c) (d) (e) Iring > Isolid Iring < Isolid Iring = Isolid Iring = Isolid = 0 Iring = 2 Isolid 5. A cylinder is rotating counter-clockwise as shown in the figure. If the angular velocity ω is decreasing uniformly, then the angular acceleration vector α points in the (a) (b) (c) (d) (e) + z direction – z direction + y direction – y direction – x direction 2/5 Kuwait University – Science College – Physics dept. – PHYS 101 Summer 2010 (08/08/10) 6. For the completely inelastic collision shown, what can be said about the kinetic energy (KE) of the system before and after collision? (a) (b) (c) (d) (e) KEbefore = KEafter KEbefore > KEafter KEbefore < KEafter KEbefore = KEafter = 0 KEbefore + KEafter = 0 7. A block of mass m is pulled at a constant velocity along a rough horizontal surface by an applied force F. If the coefficient of friction is μ, then the frictional force is: (a) (b) (c) (d) (e) μmg μ(mg + F sin θ) μ(mg – F sin θ) μ(mg + F cos θ) μ(mg – F cos θ) F θ m 8. A bullet of mass m is fired into a block of wood of mass M, that is suspended like a pendulum and makes a completely inelastic collusion with it. The block swings up to a maximum height of h. The initial speed of the bullet (v) is: (a) m M (b) (c) (d) (e) 2 gh m mM 2 gh M M 2 gh m m 2 gh M 2m 2 gh M m v M h 9. A ball of mass 0.4 kg is thrown horizontally to the left against a wall as shown. It hits the wall with a speed of 30 m/s and rebounds horizontally to the right with a speed of 20 m/s. The impulse (in N.s) of the net force on the ball during its collision with the wall is: (a) (b) (c) (d) (e) 20 to the right 20 to the left 4 to the right 4 to the left Zero 10. A stone is released from a balloon that is descending at a constant speed of 10 m/s. Neglecting air resistance, after 20 seconds the speed of the stone is: (a) (b) (c) (d) (e) 10 m/s 100 m/s 190 m/s 200 m/s 210 m/s 3/5 Kuwait University – Science College – Physics dept. – PHYS 101 Summer 2010 (08/08/10) 11. A light cable is wrapped around a solid cylinder. The cylinder (mass M, radius R, and moment of inertia ½ MR2) rotates without friction about a horizontal axis. A block of mass m that is attached to the cable is released from rest and is left to fall a distance h. The speed (v) of the block as it hits the ground is: (a) (b) (c) (d) (e) 2 gh M 1 2 m mgh 2M 2 gh 2m 1 M Mgh m mgh M M R m h 12. A wheel rotates with a constant angular acceleration of 2.25 rad/s2. After 4.0 seconds it has rotated through an angle of 60 radians. The initial angular velocity of the wheel (in rad/s) is: (a) (b) (c) (d) (e) Zero 9.0 10.5 15 -19.5 13. A projectile is fired over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s. The distance from launching to landing points is: (a) (b) (c) (d) (e) 40 m 60 m 80 m 120 m 180 m 14. A 5.0 kg cart is moving horizontally at 10.0 m/s. In order to change its speed to 6.0 m/s the net work done on the cart must be: (a) (b) (c) (d) (e) -160 J -90 J 90 J 160 J 340 J 15. A force of 10 N holds an ideal spring with a 20 N/m spring constant in compression. The potential energy stored in the spring is: (a) (b) (c) (d) (e) 0.5 J 2.5 J 5J 10 J 200 J 4/5 Kuwait University – Science College – Physics dept. – PHYS 101 Summer 2010 (08/08/10) 16. A billiard ball ‘A’ moving at 5 m/s strikes a stationary ball ‘B’ of the same mass. After the collision ball A moves at 4 m/s at an angle of 37 with respect to the original line of motion. Assuming an elastic collision, the magnitude of the final velocity vbf (in m/s) of ball B is: (a) (b) (c) (d) (e) 3 6 9 12 Zero 17. Block A, with a mass of 4 kg, is stationary while block B, with a mass of 8 kg, is moving at 3 m/s. the center of mass of the two block system has a speed in m/s of: (a) (b) (c) (d) (e) Zero 1.5 2 3 12 18. A small object of m, on the end of a light cord, is held horizontally at a distance r from a fixed support as shown. The object is then released. What is the tension in the cord when the object is at the lowest point of its swing? (a) (b) (c) (d) (e) mg/2 mg 2mg 3mg mgr r m 19. If a wheel is turning at a constant angular velocity of 3.0 rad/s, the time it takes to complete one revolution is approximately: (a) (b) (c) (d) (e) 0.33 s 0.67 s 1.0 s 1.3 s 2.1 s 20. Four identical particles, each with mass m, are arranged in the x, y plane as shown. They are connected by light sticks to form a rigid body. If m = 2.0 kg and a = 0.5 m, the moment of inertia of this system about the y axis is: (a) (b) (c) (d) (e) 2.0 kg.m2 3.0 kg.m2 4.0 kg.m2 6.0 kg.m2 9.0 kg.m2 y a a a x a 5/5