Question

In the adjoining figure, the position time graph of a particle of mass 0.1 kg is shown. The impulse at $t=2s$ is :

• A. $0.02kgm/s$
• B. $0.1kgm/s$
• C. $0.2kgm/s$
• D. $0.4kgm/s$

Answer 1

The correct option is C $0.2kgm/s$

From the graph we can say, upto t = 2.0 s, the body moves with a constant velocity

Slope of position-time graph $velocity\left(V\right)=\frac{4}{2}=2m/s$

After $t=2.0s$, position-time graph is parallel to time axis i.e., body comes to rest.

$\therefore$ Change in velocity$\left(dv\right)=2m/s$

Impulse = Change in momentum $=mdv=0.1\times 2=0.2kgm/s$