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qz5sp08sol - February22,2008 PHY2053Discussion...

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February 22, 2008 PHY2053 Discussion Quiz 5 (Chapter 5.3 -5.7) Name:                                   UFID: ***1. (5 pts) A block starts from rest and slides 2.00 m down a 30.0º incline and then  slides some distance on a horizontal surface before coming to rest. The incline and the  horizontal surface have the same coefficient of kinetic friction against the block. Now  suppose we want to send the block back from its final position to its initial position.  What initial velocity we need to give the block? First we apply the work-energy theorem to the motion of the block which slides down the   incline and comes to rest  on the horizontal  surface.  We solve it  for the  horizontal   distance  Δ x: - μ mgcos L- μ mg Δ x = -mgsin L (L = 2m)  θ θ Δ x = (Lsin - μ Lcos )/ μ θ θ We need to give the initial velocity to the block so that it stops at the original position.  
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