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Q: Can kinetic energy of a system be changed without changing its momentum?
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Can you have kinetic energy without momentum?

We don't think you can. Here's our reasoning: -- Kinetic energy of an object is [(1/2)(mass)(speed)2]. If kinetic energy is not zero, then mass can't be zero, and speed can't be zero either. -- Momentum of the object is [(mass)(speed)]. If mass isn't zero and speed isn't zero, then momentum isn't zero.


Can a body have kinetic energy without having momentum?

Momentum = (mass) x (speed) Kinetic Energy = 1/2 (mass) x (speed)2 It looks like the only way a body can have zero momentum is to have either zero mass or else zero speed, and if either of those is zero, then that makes the KE also zero as well, too. So the answer to the question is apparently: no.


How does the law of conservation of momentum relate to work?

It relates to work in the sense that work involves moving things, which involves changing their momentum, and to change momentum you have to create an equal and opposite momentum so that momentum is conserved - although the planet Earth is such a convenient momentum sink that in most cases this happens without being specifically noticed.


Can you have movement without momentum?

no.


If the mass of an object increases what else increases?

The quantities which depend on the mass will also increase. Though the increase of the mass of any object is not so easy and it can't be explained without Special theory of Relativity. If the mass increases then the momentum, the kinetic energy, the potential energy and the moment of inertia will increase.

Related questions

Can a body change in momentum without changing in kinetic energy?

Kinetic energy = 1/2mv2 momentum = mv. If you could change the mass at the same time as the velocity to keep the kinetic energy constant, then you could change momentum without changing the kinetic energy. Suppose you have a mass of 4kg moving at 1m/s ... it has a momentum of 4 units (N-s) and a Kinetic Energy of 2 units (Joules). The mass could be burned to make the craft go faster .. say that it increased its speed to 2m/s but in the process the mass decreased to 1kg .. the Kinetic energy would still be 2 Joules, but the momentum would now be 2 units. (not a very efficient engine, this). Another burn of the mass, and now it only weighs 0.5kg .. however the speed has increased to 2*(sqrt(2)) m/s, KE is still 2J, and momentum is now .. Sqrt(2) N-m .. Provided your destruction of mass occurred at the correct rate as the velocity changes, yes you can change momentum without changing kinetic energy. Just not arbitrarily.


Why do you need momentum with kinetic energy?

Momentum is the product of mass and velocity. Kinetic Energy is the product of mass and velocity squared. As you can see, since Kinetic Energy is derived from mass and velocity, and Momentum is derived from mass and velocity, you cannot have one without the other.


Can you have kinetic energy without momentum?

We don't think you can. Here's our reasoning: -- Kinetic energy of an object is [(1/2)(mass)(speed)2]. If kinetic energy is not zero, then mass can't be zero, and speed can't be zero either. -- Momentum of the object is [(mass)(speed)]. If mass isn't zero and speed isn't zero, then momentum isn't zero.


Can a body have kinetic energy without having momentum?

Momentum = (mass) x (speed) Kinetic Energy = 1/2 (mass) x (speed)2 It looks like the only way a body can have zero momentum is to have either zero mass or else zero speed, and if either of those is zero, then that makes the KE also zero as well, too. So the answer to the question is apparently: no.


Can somthing have momentum without having energy?

momentum = mass * velocity kinetic energy = 1/2 mass * velocity^2 If an object has non-zero momentum, it has non-zero velocity. It thus has kinetic energy, at least. It most likely has other forms of energy as well (potential, thermal, etc.)


Is it possible to change translational kinetic energy of an object without changing it rotational energy?

yes


Can potential energy ever be less than kinetic energy?

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 velocities are opposed. What can we say about the total momentum of this system of two balls? The total momentum is the sum of the momentum of each ball. Since masses are equal, magnitudes of velocities are equal, but direction of motion is opposed, the total momentum of the system of two balls equals zero. Conclusion: the system has zero momentum. What can we say about the total kinetic energy of this system? Since the kinetic energy does not take into account the direction of the motion, and since both balls are moving, the kinetic energy of the system will be different from zero and equals to the scalar sum of the kinetic energies of both balls. Conclusion: we have a system with zero momentum, but non-zero kinetic energy. Assume now that we lower the magnitude of the velocity of one of the balls, but keep the direction of motion. The result is that we lower the total kinetic energy of the system, since one of the balls has less kinetic energy than before. When we look to the total momentum of the new system, we observe that the system has gained netto momentum. The momentum of the first ball does not longer neutralize the momentum of the second ball, since the magnitudes of both velocities are not longer equal. Conclusion: the second system has less kinetic energy than the first, but has more momentum. If we go back from system 2 to system 1 we have an example of having more kinetic energy, but less momentum. I hope this answers your question Kjell


Can number of poles of a AC motor be changed without changing connection?

No


How does the law of conservation of momentum relate to work?

It relates to work in the sense that work involves moving things, which involves changing their momentum, and to change momentum you have to create an equal and opposite momentum so that momentum is conserved - although the planet Earth is such a convenient momentum sink that in most cases this happens without being specifically noticed.


Operation of a transformer?

Transforming a signal without changing its frequency.(amplitude can be changed)


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 with a certain speed that has a certain mass. Kinetic energy also consists of things moving that have a certain mass and velocity. Kinetic energy is just a different thing so it is calculated different. Potential energy is the other type of energy. This is the energy of an object that is NOT moving. So if dealing with potential energy the energy is not in motion and therefore does not have momentum.


How can a physical property can without the substance changing?

During a physical change the chemical formula is not changed.