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Q.

A 4 kg block is projected with velocity 7 m/s up a rough inclined surface having inclination 45o with horizontal. The block stops after travelling a distance of 22m along the plane. Then coefficient of kinetic friction between the block and the plane is

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a

0.750

b

0.225

c

0.125

d

0.425

answer is B.

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Detailed Solution

Resultant force acting on the block, Fnet=mgsinθ+μmgcosθ∴ Net work done on the block Wnet=F→net.S→=−mgsinθ+μcosθ.S.By work - energy theorem, Wnet=ΔK∴ −mgsinθ+μcosθS=0−12mV2⇒μ=V22gscosθ−tanθ=722×10×22×cos45o−tan45o⇒μ=0.225
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