What happens to momentum and kinetic energy if you double the speed?

What happens to the kinetic energy and momentum of a moving object if velocity of the object is doubled? If the velocity is doubled its kinetic energy is multiplied by four times. And there is no relationship between the velocity and potential energy. So, if the velocity is doubled, momentum also doubles.

How will the momentum of a body change if its kinetic energy is doubled Class 11?

If ‘P’ denotes the momentum of the body. if momentum gets doubled,If no mass was added, the velocity must’ve doubled.

How will the kinetic energy of a body change if its momentum is tripled?

Hence, if the momentum of a body is tripled, it’s Kinetic energy will become nine times its original value.

What happens to the kinetic energy when a the mass of the body is doubled at constant velocity?

(i) On doubling the mass, at a constant velocity, the K.E. becomes double its original value.

How can a body achieve an equal momentum with another body twice its mass?

A doubling of the mass results in a doubling of the momentum. Similarly, if the 2.0-kg cart had a velocity of 8.0 m/s (instead of 2.0 m/s), then the cart would have a momentum of 16.0 kg•m/s (instead of 4.0 kg•m/s). A quadrupling in velocity results in a quadrupling of the momentum.

How does momentum change if the mass of an object is doubled?

The momentum of an object is calculated as the product of mass and velocity. Thus, the momentum is directly proportional to the mass of the object. If the mass of an object is somehow doubled, the momentum is doubled as well.

How will the momentum of a body changes?

A force acting for a given amount of time will change an object’s momentum. If the force acts opposite the object’s motion, it slows the object down. If a force acts in the same direction as the object’s motion, then the force speeds the object up. Either way, a force will change the velocity of an object.

How does the KE of a body change if its momentum is halved?

Originally Answered: How does the kinetic energy of a body change if its momentum is halved? Kinetic energy increases with the square of the velocity, while momentum is linear. If it’s the mass that changes, then if momentum is halved, KE will also be halved.