Yes, the kinetic energy of a system can be changed without changing its momentum if there is an external force acting on the system. For example, if friction is present, kinetic energy can be converted to other forms (such as heat) without affecting 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.
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.
To change the speed without changing the angular momentum, you can change the radius of the rotating object. This is because angular momentum is the product of an object's moment of inertia, its mass, and its angular velocity. By adjusting the radius while keeping the other factors constant, you can alter the speed without affecting the angular momentum.
In elastic collisions, both momentum and kinetic energy are conserved. This means that momentum before and after the collision is the same, and the objects bounce off each other without any loss of kinetic energy. In inelastic collisions, momentum is conserved but kinetic energy is not. Some kinetic energy is converted into other forms of energy, such as heat or sound, during the collision.
In an elastic collision, both momentum and kinetic energy are conserved. This means that the total momentum and total kinetic energy of the system before the collision is equal to the total momentum and total kinetic energy after the collision. This typically results in objects bouncing off each other without any loss of 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.
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.
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.
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.
To change the speed without changing the angular momentum, you can change the radius of the rotating object. This is because angular momentum is the product of an object's moment of inertia, its mass, and its angular velocity. By adjusting the radius while keeping the other factors constant, you can alter the speed without affecting the angular momentum.
Yes, it is possible to change the translational kinetic energy of an object without changing its rotational energy. Translational kinetic energy depends on an object's linear velocity, while rotational energy depends on its angular velocity. By adjusting the linear velocity without changing the angular velocity, you can change the object's translational kinetic energy without affecting its rotational energy.
In elastic collisions, both momentum and kinetic energy are conserved. This means that momentum before and after the collision is the same, and the objects bounce off each other without any loss of kinetic energy. In inelastic collisions, momentum is conserved but kinetic energy is not. Some kinetic energy is converted into other forms of energy, such as heat or sound, during the collision.
In an elastic collision, both momentum and kinetic energy are conserved. This means that the total momentum and total kinetic energy of the system before the collision is equal to the total momentum and total kinetic energy after the collision. This typically results in objects bouncing off each other without any loss of kinetic 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.)
If the momentum of an object changes while its mass remains constant, then its velocity must have changed accordingly. This relationship is described by the equation momentum = mass x velocity. So, if momentum changes without a change in mass, then velocity must have changed.
Well, honey, technically speaking, yes, an object can have kinetic energy without momentum. See, momentum depends on both an object's mass and velocity, while kinetic energy only cares about velocity. So, if you have an object with mass but no velocity, it won't have momentum but can still have some kinetic energy.
No