The force F acting on a particle of mass mis 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

Options

A. 12 Ns
B. 6 Ns
C. 24 Ns
D. 20 Ns

Answer

A

Explanation

Change is momentum `(Delta p)` = Impulse = Area under F - t graph
`A_("total ") = A_((0-2)) + A_((2-4)) + A_((4-8))`
` = (1)/(2) xx 2 xx 6-2 xx 3 + 4 + 4 xx 3`
` = 12 Ns`