Name: ________________________ Class: ___________________ Date: __________ Exam 2--PHYS 201--Fall 2014 Multiple Choice Identify the choice that best completes the statement or answers the question. 4. Given that A + B = C, and that |A|2 + |B|2 =|C|2, how are vectors A and B oriented with respect to each other? a. perpendicular b. separated by some unknown angle c. parallel and in same direction d. antiparallel (parallel but in opposite directions) e. separated by 30 degrees 1. Consider these vectors. What is A-B? a. b. c. d. 5. A cart is being pulled along a horizontal track by an external force and accelerating. A cannon on the cart fires straight upwards. After it is fired, what happens to the ball? a b c d a. b. c. 2. Which of these are vector quantities? I. mass II. distance III. velocity IV. acceleration a. I & III b. III & IV c. II, III, & IV d. I e. all of these d. the cannonball falls into the cart the cannonball falls in front of the cart it depends on the initial velocity of the cannonball the cannonball falls behind the cart 6. Which of these projectiles remains in the air for the longest amount of time? 3. Which of these plots represents the y-component of the velocity for an object launched from the ground at an angle and returns to the same y-position? a. b. c. d. a. b. c. d. e. a b c d none of these 1 a b c it depends on their initial velocity 10. A cart is on a horizontal frictionless table. Once the cart has been pushed and released, what will happen to it? a. it will immediately come to a stop b. it will continue at constant acceleration c. it will gradually slow down d. it will continue at constant velocity 7. You run out of gas. You and your friends have to push your car out of the road. Which of these statements best explain why it is difficult to move the car? a. the car has a big weight b. the car experiences a very large frictional force c. the car has a lot of mass d. you and your friends are very weak 11. The normal force on an object is always: a. equal to the gravitational force b. abnormally large c. perpendicular to the surface on which the object sits d. opposite the direction of the object’s motion e. in the upward direction 8. A karate chop delivers a force of 3000 N to a board that breaks. The force that the board exerts on the hand during this event is a. b. c. d. less than 3000 N 3000 N greater than 3000 N need more information 12. Which of these statements about the coefficients of friction is true? 9. You push on a mass with a certain force, and the mass accelerates at 1 m/s 2. With the same force, you push on a second mass. The acceleration of the second mass is 3 m/s2. Now, you stick the 2 masses together and push on them with the same force. What is the acceleration of the 2 masses? a. b. c. d. a. b. c. µs > µk µs < µk µs = µk 13. You apply a force in the x-direction of 20 N on a block that has a mass of 10 kg. If no other forces act on the block, what is its acceleration? a. 0.5m/s2 b. 200 m/s2 c. 5 m/s2 d. 2 m/s2 3 m 4 s2 3 m 2 s2 1 m 2 s2 2m 2 s 2 Problem 14. (10 pts) Vectors A and B add to give a resultant vector that has a magnitude of 5.83 m at 31 degrees above the x-axis. The magnitude of vector A is 2.17 m along the +x axis. What are the magnitude and direction of vector B? 3 15. (20 pts) A stone is thrown outward from the top of a 20-m high cliff with an upward velocity component (that is, the y-component of the velocity) of 10 m/s. a) How long is stone in the air? b) If the ball lands 100 meters from the base of the cliff, what is the angle of the ball’s initial velocity? c) What is the magnitude of the ball’s velocity when it reaches the ground? Quadratic formula: cos θ 1 = sin θ tan θ If, at 2 +bt+c=0, −b ± b 2 − 4ac 2a 4 16. (25 pts) A block (m1=20 kg) sits on an inclined plane (angle=30°); a rope connects the block to a second block (m2=10 kg) that sits on a surface just above the inclined plane. Both blocks on the surfaces have a coefficient of kinetic friction equal to 0.1. a) What is the frictional force on the block m 1? b) What is the frictional force on the block m 2? c) What is the acceleration of the block m 1? 5 17. (15 pts) A block of mass 10 kg sits at rest on a horizontal surface. A force of 20 N is applied at 30 degrees from the x-axis. The coefficient of kinetic friction between the block and surface is 0.1. (Hint: The normal force is not equal to the weight.) a) What is the normal force acting on the block? b) At what rate does the block accelerate to the right? 6 ID: A Exam 2--PHYS 201--Fall 2014 Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: A B E A D A C B A D C A D PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: 1 1 1 1 1 1 1 1 1 1 1 1 1 PROBLEM 14. ANS: . PTS: 1 15. ANS: 3.2s PTS: 1 16. ANS: . PTS: 1 17. ANS: 90 N 0.8 m/s2 PTS: 1 1