Answer:
The change in kinetic energy is twice the change in momentum
Step-by-step explanation:
The momentum of an object is given by:
where
m is the mass of the object
v is its velocity
While the kinetic energy is given by
We want to check how these two quantities change when the speed of the object doubles, therefore when the new velocity is
For the momentum, we have
So, the momentum doubles.
For the kinetic energy, we have
So, the kinetic energy quadruples.
Therefore, the change in kinetic energy is twice the change in momentum.