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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 40 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 0.3
Given 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=vut
a=5055=9 m/s2
From FBD of block,
N=mg=50 N
& FμkN=ma
μk=FmaN
μk=605×95×10
μk=0.3
Hence answer (b) is correct.

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