The force `F` acting on a partical of mass `m` is indicated by the force-time graph shown below. The change in momentum of the particle over time interval from zero to 8 `s` is.

Options

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

Answer

B

Explanation

The area of `F - T` graph gives change in linear momentum.
`t = 0 to t = 8`
`Delta p = (1)/(2) xx 6 xx 2 - 3 xx 2 + 3 xx 4`
`6 - 6 + 12 = 12 Ns`