Question

Power versus time graph for a force is given below. Then, work done by the force upto time $t(\le t_0)$

• A. first decreases then increases
• B. first increases then decreases
• C. always increases
• D. always decreases

Answer 1

The correct option is C always increases

$W=\int Pdt$
$\therefore$ Work done is the area under the curve of power $\left(P\right)$ vs time $\left(t\right)$.


Area under the curve is continously increasing, since with increase in time, the curve stays always above the time axis.

$\therefore$ Work done by the force is always increasing.