1
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Question

# A 5 kg block is pushed along a floor by a constant applied force that is horizontal and has a magnitude of 60 N. The figure given below is the block's speed v versus time t as the block moves along x - axis on the floor. What is the coefficient of kinetic friction between the block and the floor? [Take g=10 m/s2]

A
0.1
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B
0.3
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C
0.45
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D
0.6
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Solution

## The correct option is B 0.3Given that Initial velocity of the block (u)=5 m/s Final velocity of the block (v)=50 m/s Mass of the block (m)=5 kg Acceleration of the block is a=v−ut ⇒a=50−55=9 m/s2 From FBD of block, N=mg=50 N & F−μkN=ma ⇒μk=F−maN ⇒μk=60−5×95×10 ⇒μk=0.3 Hence answer (b) is correct.

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