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Open-Response Homework Problem 12.1 Two carts are connected by a rubber band and

ID: 1317310 • Letter: O

Question

Open-Response Homework Problem 12.1 Two carts are connected by a rubber band and placed on a track with negligible friction. The inertia of cart 4 is twice that of cart B, and the inertia of the rubber band is negligible compared to that of the carts. The carts are pulled apart, stretching the rubber band, held still for an instant in that position and then released. State whether you agree or disagree to each of the following statements and justify your answer. After the carts are released, the magnitude of the acceleration of cart A is twice that of cart B. The two carts will meet at a point halfway between the points where they were released. As the carts are released, the magnitude of the force exerted by the rubber band on cart A is the same as the magnitude of the force exerted by the rubber band on cart B. Just before the carts meet, the velocity of cart A in the reference frame of cart B is twice as big as the velocity of cart B in the reference frame of cart A.

Explanation / Answer


a. false ( as their moment of Inertias are different, they have different masses)

b. flase ( as their I values are different)

c. true

d. false ( as KE = net Work Done = 0.5 IW^2)