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Question

A block of mass 10 kg is placed on a rough horizontal surface whose coefficient of friction is 0.5. If a horizontal force of magnitude 100 N is applied on the block, then acceleration of the block will be [Take g=10 ms2]

A
10 ms2
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B
5 ms2
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C
15 ms2
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D
0.5 ms2
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Solution

The correct option is B 5 ms2
The said condition can be depicted as shown below



Here it is given that
m=10 kg,g=10 ms2,μ=0.5 and F=100 N
Force of friction, f=μ N=μ mg
f=0.5×10×10=50 N
Force that produces acceleration,
F=Ff=100 N50 N=50 N
Thus, acceleration of the block, a=Fm=5010=5 ms2

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