A body of mass 8 kg , under the action of a force, is displaced according to the equation s = t 2 4 m , where ' t ' is the time. Find the work done by the force in the first 4 seconds.

Step-by-step solution

Given the displacement equation, s = t 2 4 Velocity of the body, v = d s d t = t 2 Acceleration of the body, a = d v d t = 1 2 Force on the body, F = m a = 8   kg × 1 2 m   s - 2 = 4   N Work done by the force in first 4   seconds, W = Force ×  displacement W = 4 × t 2 4 = t 2 W t = 0 t = 4 = 16   J