A body of mass 4 ~kg is moving with momentum of 8 ~kg ~ms ⁻¹ . A force of 0.2 ~N acts on it in the direction of motion of the body for 10 seconds. The increase in kinetic energy in joules is

Step-by-step solution

aligned m & =4 ~kg , p=8 ~kg ~m / s F & =0.2 ~N , t=10 sec aligned From Newton's IInd law Force = rate of change of momentum aligned & F= p₂-p₁ t & 0.2= m v-8 10 & 2=4 v-8 & 4 v=10 & v= 5 2 ~m / s & Final momentum p₂=m v=4 5 2 & =10 ~kg ~m / s & aligned