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Question

A body is projected along a rough horizontal surface with a velocity 6 m/s. If the body comes to rest after travelling 9 m, then coefficient of sliding friction is (g=10 m/s2)

A
0.5
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B
0.4
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C
0.6
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D
0.2
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Solution

The correct option is D 0.2
Given u=6 m/s, v=0, as it comes to rest.

Now for retardation we get it by the force equation,
f=ma, and we know that f=μmg

So, retardation a=μmgm=10μ

Now by the equation of motion v2u2=2as

0=u22as, where s=9 m
0=(62)2(10μ)(9)
μ=0.2

Hence option D is the correct answer

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