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Question

A 2 kg block is pressed against a rough wall by a force F= 20 N as shown in figure. Find acceleration of the block and force of friction acting on it. (Take g= 10m/s2).
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A
12 m/s2, 4N
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B
14 m/s2, 12N
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C
4 m/s2, 12N
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D
4 m/s2, 2N
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Solution

The correct option is D 4 m/s2, 12N
Force applied is 20N
Normal reaction by wall is equal to force applied 20N
friction force (static) = normal reaction X coff. of static friction
= 0.8X20
=16N (upward)
friction force kinetic = normal reaction X coff. of kinetic friction
=0.6X20
=12N (upward)
Motion of block is in downward direction due to gravitational force
acceleration of block is = 20122
= 4ms2 (downward)


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