Calculate the work done in pulling a object with a constant force F as shown so that the block moves with a constant velocity through a distance d given that the ground is rough with coefficient of friction is miu
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Magnitude of the force =F
Required velocity = constant
Since the velocity is constant the acceleration is 0.
Now, coefficient of friction= û
Let us take the mass of block be m
Force of friction =ûN
where N is normal reaction. and N =ûmg
Distance=d
So Net force = F -ûmg
=> F net = m × a - ûmg
=> F net = - ûmg ( a=0)
And Work = F net × s
where s is displacement.
=> W = Fnet × s
=> W = × ûmg ×s
=> W =ûmgs
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