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You are given two carts (or gliders), A and B. They look identical, and you are

ID: 1793964 • Letter: Y

Question

You are given two carts (or gliders), A and B. They look identical, and you are told that they are made of the same material. You place A at rest on an air track and give B a constant velocity directed to the right so that it collides elastically with A. After the collision, both carts move to the right, the velocity of B being smaller than what it was before the collision. What do you conclude? a. Cart A is hollow. b. The two carts are identical c. Cart B is hollow. d. Need more information e. Both b and c 5. A ball is revolving in a horizontal circle on a wire. The period is 0.5 s. The center of the ball has a linear speed of 0.63 m/s. What is the radius of the circle, in m? a. 0.5 b. 0.3 c. 0.2 d. 0.05 e. 3.1 6. A small ball of mass 1 kg is attached to one end of a wire with negligible mass and length, R. The ball revolves at a constant linear speed in a horizontal circle with the other end of the wire attached to a rod at the center of the circle. The force exerted by the rod is 0.5 N. What is the centripetal acceleration of the ball, in m/s?. a. Unknown: Need R b. 0.5 c. 10 d. 0.05 e.

Explanation / Answer

4. Since both are moving towards right after elastic collision, mass of Body A has to be larger. And since they are made up of same material and are of same size, it means B is hollow.

Option - C

5. Angular velocity = 2*pi / t = 4*3.14 = 12.56 rad/s

Angular velocity = V/r

r = 0.63 / 12.56 = 0.05 m

Option D


6. centripetal acc = Centripetal force / mass = 0.5 / 1 = 0.5 m/s^2

Option b

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