• # question_answer 9) The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is A)  24 Ns       B)  20 NsC)  12Ns       D)  6Ns

$F=\frac{dp}{dt}dp=F.dt$or $\int\limits_{{{p}_{i}}}^{{{p}_{f}}}{dp=\int_{{}}^{{}}{{}}}$ Change in momentum = Area under the F versus graph in that interval $=\left( \frac{1}{2}\times 2\times 6 \right)-(2\times 3)+(4\times 3)$ $=6-6+12=12\,Ns$