A block of mass 50kg moves on a rough horizontal surface with a coefficient of kinetic friction µ = 0.5. If the distance traveled is 20m, how much work is done by the friction force? (take g = 10 m/s2)
A
1000J
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B
−1000J
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C
5000J
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D
−5000J
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Solution
The correct option is D−5000J Frictional force, F=μN
where, N( normal force) =mg μ=0.5(given) N=50×10=500 N F=0.5×500=250 N
Work done by friction W=F.s s=20m (given) W = 250×20=5000J
But friction acts in opposite direction of displacement and we have to do work on the system to displace it, we took work done on the system as negative i.e −5000J