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Question

A block of mass m is moving with a constant acceleration a on a rough horizontal plane. If the coefficient of friction between the block and ground is μ, the power delivered by the external agent after a time t from the beginning is equal to

A
2mat
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B
μmgat
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C
μm(a+μg)gt
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D
m(a+μg)at
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Solution

The correct option is D m(a+μg)at
Let F is the force applied by external agent
than Net force om the body =mass ×acceleration
Fμmg=ma
F=m(μg+a)
velocity of mass at any time 't'
v=u+at
v=at
power delivered by external agent = Fv
=m(μg+a)at

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