If the kinetic energy of a ball is doubled, then the momentum is about

Question

Quizplus · Accepted Answer

The momentum of an object is given by the equation p = mv, where p is the momentum, m is the mass of the object, and v is the velocity. We know that kinetic energy is given by the equation KE = (1/2)mv^2. If we double the kinetic energy, we get:
2KE = m(2v)^2
2KE = 4mv^2
Dividing by 2, we get:
KE = 2mv^2/2
KE = mv^2
So, if we double the kinetic energy, we are effectively doubling the velocity. Using the equation for momentum, we get:
p = mv
If we double the velocity, we get:
2p = m(2v)
2p = 2mv
Dividing by 2, we get:
p = mv/2
Therefore, the momentum is 1.41 times larger (square root of 2) if the kinetic energy of a ball is doubled.

If the Kinetic Energy of a Ball Is Doubled, Then