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A 5.3 kg box is sliding down a hill. The hill is not very steep; its...

A 5.3 kg box is sliding down a hill. The hill is not very steep; its slope is 15o. The coefficients of friction between the box and the hill are μs=0.45 and μk=0.31. If the box starts with a speed of 3.7 m/s, how far down the hill does it travel?

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Answer #1

Concept - Here the kinetic friction is more than the component of gravitational force down the incline. Hence, as the box in sliding down, the net force acts up the incline. We use Newton’s law of motion to find the acceleration and then use kinematics to find the required distance as shown below,

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