A 150-g block is projected up a ramp with an initial speed of6.0 m/s. The coeffi

Question

A 150-g block is projected up a ramp with an initial speed of6.0 m/s. The coefficient of kineticfriction between the ramp and the block is 0.23. (a) If the ramp is inclined 27° with the horizontal, how far along thesurface of the ramp does the block slide before coming to astop?
1 m

(b) What is the minimum coefficient of static friction between theblock and the ramp if the block is not to slide back down theramp?
2 (a) If the ramp is inclined 27° with the horizontal, how far along thesurface of the ramp does the block slide before coming to astop?
1 m

(b) What is the minimum coefficient of static friction between theblock and the ramp if the block is not to slide back down theramp?
2

Explanation / Answer

(a) If the ramp is inclined 27° with the horizontal, how far along thesurface of the ramp does the block slide before coming to astop?
1 m

acceleration up theplane=g(sin27+0.23cos27)=6.4565m/sec2
initial velocity=6m/sec
s=0-36/-2*6.4565=2.7878m
(b) What is the minimum coefficient of static friction between theblock and the ramp if the block is not to slide back down theramp?
2

coefficient of static friction==tan27=0.5095

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