Solveeit Logo

Question

Question: A body of mass 6kg is under a force which causes displacement in it given by \(S = \frac { t ^ { 2 }...

A body of mass 6kg is under a force which causes displacement in it given by S=t24S = \frac { t ^ { 2 } } { 4 } metres where t is time. The work done by the force in 2 seconds is

A

12 J

B

9 J

C

6 J

D

3 J

Answer

3 J

Explanation

Solution

s=t24s = \frac { t ^ { 2 } } { 4 }ds=t2dtd s = \frac { t } { 2 } d t

Now