Knowee
Questions
Features
Study Tools

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

Question

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

🧐 Not the exact question you are looking for?Go ask a question

Solution

The kinetic energy (KE) of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity of the object. The momentum (p) of an object is given by the formula p = mv.

If the kinetic energy is doubled, we have 2KE = mv^2.

However, the relationship between kinetic energy and momentum is not direct. The kinetic energy is proportional to the square of the velocity, while the momentum is directly proportional to the velocity.

Therefore, if the kinetic energy is doubled, the momentum will increase, but not necessarily double. It will increase by a factor of the square root of 2, or approximately 1.41.

So, if the kinetic energy of a ball is doubled, then the momentum is about 1.41 times its original value.

This problem has been solved

Similar Questions

If the speed of the ball is doubled without affecting its mass, then the kinetic energy is

If the velocity of a body is doubled its kinetic energy

Momentum of a body is doubled. By what percentage does the Kinetic energy of the body change?

If the mass of an object is doubled and its velocity is halved, what happens to its momentum?Select an answerAIt doublesBIt halvesCIt quadruplesDIt remains the same

If the momentum of an object doubles, this could be due to:Select one:a.Its velocity being doubledb.Its force being halvedc.Its acceleration being doubledd.Its mass being halved

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.