Question

The speed of a body is changed so that it's momentum becomes three times of its original value.then as compared to its original kinetic energy Ek the new value of kinetic energy will become

Answer 1

Answer:3√K.E

Explanation:

Answer 2

New kinetic energy after tripling the momentum is nine times of initial.

Let us assume initial speed of body is v.

Therefore, its initial momentum , p = mv.

And , its initial kinetic energy , $Ek=\dfrac{1}{2} m v^2.$

Now, momentum of the body is tripled . Therefore, velocity must be tripled because mass of an object is constant.

Therefore, $v^{'} = 3v$.

Also, new kinetic energy, $Ek^{'}=\dfrac{1}{2}m(3v)^2=9\times \dfrac{1}{2}mv^2=9\times Ek.$

Therefore, kinetic energy after tripling the momentum is nine times of initial.

Learn More :

Momentum and energy

https://brainly.in/question/14473965