Question

A force-time graph for the motion of a body is shown in figure. Change in linear momentum between $0$ and $8$ $s$ is:

• A. $Zero$
• B. $4Ns$
• C. $8Ns$
• D. $Noneofthere$

Answer 1

The correct option is B $4Ns$

We know,

$\frac{dp}{dt}=F$

$\int F.dt=\int dp$

Area under F-t curve = change linear momentum.

Area under graph$=\frac{1}{2}\times 8\times 1=4N.s$

Hence change in Linear momentum=4.

Option $B$ is the correct answer.