Question

If a force $F$ is applied on a body and it moves with a velocity $v$. the power will be

• A. $F\cdot v$
• B. $F/v$
• C. $F/v^2$
• D. $F\cdot v^2$

Answer 1

Answer: (A)

We know that, power is given as
$P=\frac{dW}{dt}=\frac{d}{dt}[F\cdot s][\because W=F\cdot s]$
$=F\cdot \frac{ds}{dt}[\text{ For constant force }F]$
$\Rightarrow P=F\cdot v\left[\because v=\frac{ds}{dt}\right]$