In a truck-loading station at a post office, a small 0.200-kg package is release

Question

In a truck-loading station at a post office, a small 0.200-kg package is released from rest at point A on a track that is one-quarter of a circle with radius 1.60 m (the figure (Figure 1) ). 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 Bwith a speed of 4.10m/s . From point B, it slides on a level surface a distance of 3.00 m to point C, where it comes to rest.

Part A

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

Part B

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

In a truck-loading station at a post office, a small 0.200-kg package is released from rest at point A on a track that is one-quarter of a circle with radius 1.60 m (the figure (Figure 1) ). 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 Bwith a speed of 4.10m/s . From point B, it slides on a level surface a distance of 3.00 m to point C, where it comes to rest. Part A What is the coefficient of kinetic friction on the horizontal surface? Part B How much work is done on the package by friction as it slides down the circular arc from A to B?

Explanation / Answer

m*9.8*1.6 = u * m*9.8*3

u = 0.533

W by friction = umg*3 = 3.136 J

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