Question

Two objects are known to have the same momentum. Do these two objects necessarily have the same kinetic energy?

Answer 1

No

Step-by-step explanation:

Kinetic energy equation

`e = (1)/(2) m {v}^(2)`

Momentum equation

`p = mv`

Therefore

`e = pv`

So, they should have same velocity and momentum

Answer 2

No

Step-by-step explanation:

Momentum is a measure of mass times velocity. But kinetic energy is one-half the mass times the square of the velocity, so it’s much more dependent on the velocity than on the mass. You could have two objects with the same momentum, one very massive but traveling slowly, and the other with only a little mass but traveling at a high velocity - and the latter one would have the higher kinetic energy.