Question

How is power related to force applied to an object and the resulting velocity of the object?

Answer 1

1. Power is defined as the rate of doing work.
2. Power can be given as-
   $$\begin{gathered} Power=\frac{Work}{time} \\ P=\frac{W}{t} \\ Sincework=force\times displacement \\ \Rightarrow P=\frac{(force\times displacement)}{time} \\ Since\frac{displacement}{time}=velocity \\ \Rightarrow P=force\times velocity \\ orP=F.v \end{gathered}$$