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27 Nov 2019

A box of mass m on the floor is connected to a horizontal spring offorce constant k. The coefficient of kinetic friction between thebox and the floor is µk. The other end of the spring is connectedto a wall. The spring is initially unstressed. If the box is pulledaway from the wall a distance d0 and released, the box slidestoward the wall. Assume the box does not slide so far that thecoils of the spring touch.

(a) Obtain an expression for the distance d1 the box slides beforeit first comes to a stop.

(b) Assuming d1 > d0, obtain an expression for the speed of thebox when it has slid a distance d0 following the release.

(c) Obtain the special value of µk such that d1 = d0.



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