Question

A body of mass 6 kg is under a force of 6 N which causes displacement in it given by $S=\frac{t^2}{4}$ where 't' is time in seconds. The work done by the force in 2 s is:

• A. 12 J
• B. 9 J
• C. 6 J
• D. 3 J

Answer 1

Answer: (C)

6 J

$time=t=2s$

$displacement=S=\frac{t^2}{4}=\frac{2^2}{4}=1m$

The work done, $W=force\times displacement=F\times S=6\times 1=6J$