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Question

A block of unknown mass is at rest on a rough horizontal surface. A force F is applied to the block. The graph in the figure shows the acceleration of the block w.r.t the applied force.
The mass of the block and coefficient of friction are (g=10 m/s2)

A
2 kg,0.1
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B
2 kg,0.2
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C
1 kg,0.1
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D
can't be determined
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Solution

The correct option is B 2 kg,0.2
We know that
Fnet=ma and Fnet=Ff where f= Frictional force

ma=Ff
ma=Fμmg
a=Fmμg
If F=0,a=2 from graph
So, μg=2
μ=0.2

If a=0,F=4
0=4m0.2(g) [g=10 m/s2]
m=2 kg

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