Question

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

• A. Fv
• B. $\frac{F}{v}$
• C. $F{v}^2$
• D. $\frac{F}{v^2}$

Answer 1

The correct option is A Fv

Power = Rate of doing work
$Power=\frac{\text{Work done}}{\text{Time taken}}=\frac{W}{t}$

Work done, W = Force $\times$ Displacement

$\Rightarrow W=Fs\therefore \text{Power,}P=\frac{W}{t}=\frac{F\times s}{t}\Rightarrow P=F\times v(\because \text{Velocity}=\frac{\text{displacement}}{\text{time}}=\frac{s}{t})$

Hence, the correct answer is option (a).