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10 Nov 2019

A sled is being held at rest on a slope that makes an angle thetawith the horizontal. After the sled is released, it slides adistance d_1 down the slope and then covers the distance d_2 alongthe horizontal terrain before stopping. Find the coefficient ofkinetic friction mu_k between the sled and the ground, assumingthat it is constant throughout the trip.

To assess whether your calculations are reasonable, we'll analyze asimilar situation to the one described in the problemintroduction.
Suppose the same sled is released from the same height on the sameslope. This time, however, assume that the coefficient of kineticfriction between the ground and the sled is a known quantity, mu,and, as before, constant throughout the trip. After the sled isreleased, it slides the same distance d_1 down the slope and thenmoves a certain (unknown) distance along the horizontal terrainbefore stopping. Find the distance d traveled by the sled from theend of the slope until it comes to a stop.

Express your answer in terms of the variables d_1, mu, andtheta



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Tod Thiel
Tod ThielLv2
19 May 2019

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