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Question

For a body on a horizontal surface, coefficients of static and kinetic frictions are 0.4 and 0.2, respectively. When the body is in uniform motion on the surface, a horizontal force equal in magnitude to limiting friction is applied on it. The acceleration produced is

A
0.4 g
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B
0.1 g
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C
0.2 g
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D
0.6 g
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Solution

The correct option is C 0.2 g
The magnitude of limiting friction =μSN=μSmg. This force is applied on the body towards right. Now, kinetic friction μKN opposes the motion and acts towards left.
Net force towards right μSNμKN
So acceleration produced =(μSNμKN)m
=(μSμK)mgm
=(μSμK)g=(0.40.2) g=0.2 g
Hence, the correct answer is option (c).

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