Problem: In a truck-loading station at a post office, a small 0.200-kg package is released from rest at point exttip{A}{A} on a track that is one-quarter of a circle with radius 1.60 m (the figure ). The size of the package is much less than 1.60 m, so the package can be treated as a particle. It slides down the track and reaches point exttip{B}{B} with a speed of 4.60 m/s . From point exttip{B}{B}, it slides on a level surface a distance of 3.00 m to point C, where it comes to rest.What is the coefficient of kinetic friction on the horizontal surface?How much work is done on the package by friction as it slides down the circular arc from exttip{A}{A} to exttip{B}{B}?

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Problem Details

In a truck-loading station at a post office, a small 0.200-kg package is released from rest at point on a track that is one-quarter of a circle with radius 1.60 m (the figure ). The size of the package is much less than 1.60 m, so the package can be treated as a particle. It slides down the track and reaches point with a speed of 4.60 m/s . From point , it slides on a level surface a distance of 3.00 m to point C, where it comes to rest.

What is the coefficient of kinetic friction on the horizontal surface?

How much work is done on the package by friction as it slides down the circular arc from to ?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Energy with Non-Conservative Forces concept. You can view video lessons to learn Energy with Non-Conservative Forces. Or if you need more Energy with Non-Conservative Forces practice, you can also practice Energy with Non-Conservative Forces practice problems.