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Question

A stationary body of mass m is slowly lowered onto a rough massive platform moving at a constant velocity v0=4 m/s. If the displacement of the body with respect to the platform (μ=0.2) is x m, then x is
(Take g=10 m/s2)


A
4
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B
6
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C
12
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D
8
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Solution

The correct option is A 4

With respect to platform, the initial velocity of the body of mass m is 4 m/s towards left (opposite to massive platform) and it starts retarding at the rate of a due to friction. So,

a=fm=μmgm=μg

a=0.2×10=2 m/s2

Using equation of motion,

v2=u2+2as

0=42+(2×2×x) (a=2 m/s2)

x=4 m

Hence, option (a) is correct.

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