# Graph shows the acceleration of a 3 kg particle as an applied force moves it from rest along x-axis. The total work done by the force on the particle by the time the particle reaches $x=6\;m$ is equal to

a) 20 J b) 60 J c) 30 J d) 40 J

Area under the curve from $x=0$ to $x=6$ multiplied by mass gives the total work done
$W=\bigg[\large\frac{1}{2}$$(2 \times 4) +4 \times 4\bigg] \times 3$
$\quad=(4+16)3$
$\quad=60 \;J$
Hence b is the correct answer.

answered Aug 6, 2013 by
edited Feb 10, 2014 by meena.p