No solution.
Zero momentum (MV) means either zero mass or zero velocity.
Either one results in zero kinetic energy (1/2 MV2).
One example is pushing a swing. By pushing the swing, you transfer kinetic energy from your body to the swing, causing it to move back and forth. This transfer of energy allows the swing to gain momentum and continue swinging.
Doubling the velocity of a moving body quadruples its kinetic energy while doubling its momentum. This relationship highlights how kinetic energy is proportional to the square of the velocity and momentum is directly proportional to velocity.
Kinetic energy is the sum of all the parts of momentum: p=mv >function for momentum ∫ p=∫ mv.dv >integrate both sides with respect to velocity ∫ p=.5mv²=Ek >results in formula for kinetic energy
Let's see. Mass constant. 625000 Joules = 1/2(500 kg)V2 1250000 Joules = 500V2 2500 = V2 50 meters/second = velocity ==================================== The velocity doubles if KE doubles.
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
No.
If the velocity of a body is doubled, its kinetic energy will increase by a factor of four. This relationship is because kinetic energy is proportional to the square of the velocity. Additionally, the momentum of the body will also double.
kinetic energy can change momentum of the body if any external force exist
One example is pushing a swing. By pushing the swing, you transfer kinetic energy from your body to the swing, causing it to move back and forth. This transfer of energy allows the swing to gain momentum and continue swinging.
Since momentum is proportional to the velocity, half the momentum means half the velocity (and therefore half the speed). And since kinetic energy is proportional to the SQUARE of the speed, half the speed means 1/4 the kinetic energy.
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.
Doubling the velocity of a moving body quadruples its kinetic energy while doubling its momentum. This relationship highlights how kinetic energy is proportional to the square of the velocity and momentum is directly proportional to velocity.
Kinetic energy is the sum of all the parts of momentum: p=mv >function for momentum ∫ p=∫ mv.dv >integrate both sides with respect to velocity ∫ p=.5mv²=Ek >results in formula for kinetic energy
Let's see. Mass constant. 625000 Joules = 1/2(500 kg)V2 1250000 Joules = 500V2 2500 = V2 50 meters/second = velocity ==================================== The velocity doubles if KE doubles.
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
Any moving body possesses kinetic energy. For e.g if you move a ball and it starts rolling then the ball possesses kinetic enery.
A body having Kinetic energy within it.