Graph shows the acceleration of a `3kg` particles as an applied force moes it from rest along `x` axis. The total work done by the force on the particle by the time the particle reaches `x=6m` , is equal to

Options

A. `20J`
B. `30J`
C. `40 J`
D. `60 J`

Answer

D

Explanation

Acceleration as shown in the graph can be converted into force by multiplying with `m=3kg`. Therefore area under the curve `(F-x ` curve`)` is
`[(1)/(2)xx2xx12]+[4xx12]=60J`