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Cart A (mass 2.0 kg) and Cart B (mass 3.0 kg) are separated by a compressed...

Cart A (mass 2.0 kg) and Cart B (mass 3.0 kg) are separated by a compressed spring and attached to each other by a string. Initially they are sitting at rest on a frictionless surface. When the string is burned, Cart A moves to the left at 1.5 m/s. Cart B moves to the right and encounters a rough surface. Cart B comes to a stop after traveling a distance of 0.35 m on the rough surface. What is the magnitude of the force of friction on Cart B when it is moving on the rough surface?

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Answer #1

First, find the velocity of the cart B after the string is burned

When the spring is released, momentum is conserved

Initial momentum = Final momentum

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Consider Cart B

As the cart B comes to a stop after sliding on the rough surface, final Kinetic energy is completely lost to friction.

ANSWER:

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