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Q.

If a force of F newton moves a body with a constant speed v, the power delivered by it is


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a

Fv

b

Fv

c

F2v

d

vF 

answer is B.

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Detailed Solution

If a force of F newton moves a body with a constant speed v, the power delivered by it is  Fv
Given,
Velocity=v
Force=F
We know that work done is equal to the product of force and displacement
W=F×d
Dividing by t on both sides then we get,
Wt=F×dt
We know dt=(Speed=DistanceTime)
Power is defined as the rate of doing work, i.e.,
P=WorkTime
Work = Force(F) × displacement(d)
= F × d
Therefore,
= F × dt
And, dt can be written as velocity v, so
= F × v
 
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If a force of F newton moves a body with a constant speed v, the power delivered by it is