Question

The force - time ($F$ - $t$) curve of a particle executing linear motion is as shown in the figure. The momentum acquired by the particle in the time interval from zero to 8 second will be( Assume given graph to be cosine curve)

• A. $-2\text{N-s}$
• B. $+4\text{N-s}$
• C. $6\text{N-s}$
• D. Zero

Answer 1

The correct option is D Zero

As we know momentums is area under $\text{F-T}$ graph

As given graph corresponds to cosin graph
Net area $=+A-\frac{A}{2}-\frac{A}{2}=+A-A=0$
Hence option (d).