Question

If the momentum of a certain body be increased by 50 per cent it's KE will be increase by?

Answer 1

Let the mass of the body be m and the velocity be v

Now, Momentum of the body = mv

Since, the mass is a constant quantity, we can only change the velocity to change the momentum

Hence, to increase  the momentum by 50%, we need to increase the velocity by 50%.

Old kinetic energy = $\frac{1}{2}mv^2$

New velocity = v + 0.5v

New kinetic energy = $\frac{1}{2}\times m \times (1.5v)^2$

New kinetic energy = 2.25 × Old kinetic energy

Hence, the kinetic energy is increased by 225% of the old value.