A box is sliding down an incline of angle ? with initial velocity v0 (down the r

Question

A box is sliding down an incline of angle ? with initial velocity v0 (down the ramp). The coefficient of kinetic friction between the box and the ramp is ?k.

(a) For what values of ?k will the box speed up? ... slow down? ... slide at constant velocity? Express your answers in terms of (some of) ?, v0, and any other relevant constants.

(b) What ?k is required to bring the box to a stop after it has slid a distance d along the ramp? Derive an algebraic expression, and then evaluate it numerically for v0 = 2 m/s, d = 1.5 m, and ? = 15

Explanation / Answer

a) when mue_k < g*tan(theta), the body speeds up.

when mue_k > g*tan(theta), the body slows down.

when mue_k = g*tan(theta), the body moves with cnstant speed.

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