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Question

A body of mass 2 kg is kept on a rough horizontal surface. It is subjected to a force of a) 5 N b) 20 N.
Given μs=0.5 and μk=0.4. Taking g=10 m/s2, find the acceleration in each case.

A
zero, zero
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B
zero, 5 m/s2
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C
zero, 6 m/s2
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D
4 m/s2, 6 m/s2,
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Solution

The correct option is C zero, 6 m/s2
N=2g=20 N, Hence fs=μsN=10N

since applied force Fa=5 N in case (a) is 5 N<10 N, the body will be at rest

Fb=20 N in case (b)
fk=μk N=8 N: since Fb>fk in the second case, the body will acceletate.
Hence 208=2aa=6 m/s2

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