A force acting on a body is given by F(t)=F_0 ( t T ) for and is zero at other times

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

Problem

A force acting on a body is given by

F(t)=F_0\sin\left(\dfrac{\pi t}{T}\right)

for

0<t<T

and is zero at other times. Which of the following expressions gives the impulse imparted to the body during the interval

0

T

? (a)

F_0T

(b)

\dfrac{2F_0T}{\pi}

(c)

\dfrac{\pi F_0T}{2}

(d)

\dfrac{F_0T}{\pi}