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
$P=\frac{d W}{d t}=\frac{d}{d t}[F \cdot s][\because W=F \cdot s]$
$=F \cdot \frac{d s}{d t}[\text { For constant force } F]$
$\Rightarrow P=F \cdot v \,\,\left[\because v=\frac{d s}{d t}\right]$