Which of the following expressions gives the total work done on a system between and…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Which of the following expressions gives the total work

W

done on a system between

t=0

and

t=T

in terms of its power output

P(t)

? (a)

W=\displaystyle\int_0^T P(t)\,dt

(b)

W=\dfrac{1}{T}\displaystyle\int_0^T P(t)\,dt

(c)

W=\displaystyle\int_0^T \dfrac{dP}{dt}\,dt

(d)

W=P(T)\,T