# What is the relationship between momentum and kinetic energy?

Kinetic Energy is mistakenly defined as a scalar energy. It is
properly a vector energy EK= mc**V** where V is a vector.
Momentum P = m**V**. Kinetic energy and momentum are related by
c, EK = cP.

### What is the mathematical relationship between momentum and kinetic energy of the body?

You can't calculate the kinetic energy if you only know the momentum. Both kinetic energy and momentum depend on mass, but also on the velocity - and the dependence is different. Kinetic energy is proportional to the square of the speed, momentum is proportional to velocity. You can solve the equations, to get energy in terms of momentum AND mass: (1) p = mv v = p/m (2) e = (1/2) mv2 Replacing (1) in…

### How do momentum and kinetic energy differ?

Kinetic Energy = KE = (mv^2)/2 momentum = P = mv --- Any object contain kinetic energy. This energy increases by momentum. If you hold a bullet, then it has got kinetic energy. When you drop it to the ground, this kinetic energy is released. By shooting the bullet out with a gun, the momentum increases the bullets kinetic energy drastically. It is in a way not the bullet that kills. it is the momentum…

### Can anybody have momentum without energy?

No, if you are dealing with kinetic energy. momentum is the relationship between mass and velocity... equation is p=mv p = momentum m = mass v = velocity energy is the relationship of one half of the mass and velocity squared... equation is ke = .5mv2 ke = kinetic energy m = mass v = velocity If the equations don't make sense then thing about it logically. Momentum is the concept of an object moving…

### Can a single object have kinetic energy but no momentum?

No, an object cannot have kinetic energy and no momentum. Here's the reason: Kinetic energy is the energy an object derives from being in motion. If an object is moving, it has some non-zero velocity. Momentum is the product of mass (which the object will have) and velocity, which it must exhibit to have kinetic energy. That is why an object cannot have kinetic energy with no momentum.

### What is the difference between momentum and kinetic energy and why is it that kinetic energy can be changed in to other forms of energy but momentum cant?

Firstly, momentum is not a form of energy; the question seems to imply so. Kinetic energy is the energy possessed by a moving object. That energy is provided by a source, and can be removed from the object because energy possessed by an object is not an inherent part of that given object. Momentum is a property of mass; momentum is inherent in the mass of the object, and cannot be removed or put somewhere…

### If momentum is doubled then its kinetic energy is?

The relation between kinetic energy is proportional to the square of velocity. Momentum is directly proportional to velocity. If the momentum of an object is doubled, but its mass does not increase (so velocity remains well below the speed of light), then its velocity is doubled. If the velocity is doubled then the kinetic energy increases by the square of 2, or four time.

### An object that has kinetic energy must have?

An object that has kinetic energy must have momentum, velocity, and speed. Momentum is mass times velocity. Kinetic energy is mass times velocity squared. Speed is distance divided by time. Kinetic energy is the energy of the object's motion. An object that has kinetic energy must have momentum because is the force or speed of movement. For example the ball gained momentum as it rolled down the hill. An object that has kinetic energy must…

### What will happen to kinetic energy if momentum is tripled?

This depends on how the momentum is tripled. Momentum = mass * velocity, (p=mv) Kinetic Energy = (1/2) * mass * velocity squared, (K = (1/2)mv2) Momentum can be tripled by tripling the mass, in which case Kinetic Energy would also be tripled. Momentum can also be tripled by tripling the velocity, in which case Kinetic Energy will be tripled by a factor of 9. Momentum could also be tripled by a combination of chaining…

### Which factor provides kinetic energy of an electron?

Kinetic energy is another name for scalar energy. Kinetic energy is provided by the vector energy cmV=cP, the momentum energy. Momentum is a vector and Momentum energy cP is also a vector, a vector energy. This Momentum Energy gives the velocity V and speed v and thus the "kinetic energy". The electron vector energy is cmV=cP and and the scalar energy is vp ! it is clear that te sclar energy vp=mv2 is much smaller…

### Can it have kinetic energy but no momentum?

Momentum = mass x velocity Kinetic Energy = 0.5 x mass x velocity2 If momentum equals zero, the only logical thing to assume is that the velocity equals zero. If the velocity equals zero for momentum, the velocity for your kinetic energy formula is also equal to zero. Anything multiplied by zero is zero, so kinetic energy would be zero if momentum is zero. So the answer is no.

### Is it possible to have more kinetic energy but less momentum Less kinetic energy but more momentum support your answer?

The answer to both of your questions lies in the different nature of both quantities, momentum and kinetic energy. Momentum is a vector, kinetic energy is a scalar. This means that momentum has a magnitude and a direction, while kinetic energy just has a magnitude. Consider the following system: 2 balls with equal mass are rolling with the same speed to each other. Magnitude of their velocities is the same, but the directions of their…

### Can an object have momentum but no kinetic energy apart from classic newtonian physics?

I don't think so. If an object has momentum, it has mass and velocity; if it has those, it also has kinetic energy. In the Theory of Relativity, some changes have to be made to the definitinos, but a particle moving at the speed of light (such as a photon) still has both momentum and kinetic energy. I don't think so. If an object has momentum, it has mass and velocity; if it has those…