College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A box is initially sliding up a 32.5 ̊ incline at a speed of 13.0 m/s. The coefficients of friction between the incline and the box are μk = 0.680 and μs = 0.740.

a)What is the acceleration of the box while it is sliding up the incline?

b)How far will the box travel up the inline before coming to a stop?

c)What would the coefficient of kinetic friction have to be for the box to be able to slide down the ramp at a constant speed?

Expert Solution
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Step 1

a)

Acceleration of the box sliding up the incline is

ma=μkmgcosθ+mgsinθa=μkgcosθ+gsinθ

Substitute

a=9.81 ms20.680cos32.5°+sin32.5°=10.897ms210.9 ms2

 

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