Question

If the momentum of a body is increased n times ,its kinetic energy increase

Answer 1

yes , if the momentum of a body is increased in times , it's kinetic energy increase ...

Answer 2

If the momentum of the t is increased n times, then the kinetic energy will increase by $\bold{n^{2}}$.

Explanation:

• Let us consider the momentum of the body as P. It has been well known that, P = mv. The Kinetic energy, $\mathrm{K.E}=\frac{1}{2} m v^{2}$.

• Whenever the momentum has been increased, the velocity is also increased. The mass is considered as single value constraint, while dealing with the classical mechanics.  

• In order to increase the momentum by n times, then you will have to increase the velocity by n times. Thus the velocity will become ‘nv’.  

• $\mathrm{K.E}=\frac{1}{2} m v^{2}$ which is equal $=\frac{1}{2} m v^{2} n^{2}.$

• Thus the K.E is increased by $\bold{n^{2}}$.

Learn more about kinetic energy

Show that the amount of kinetic energy always decreases in perfectly inelastic collision in One dimension

https://brainly.in/question/3185366

The kinetic energy of liquids is more than solids

https://brainly.in/question/3876731