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In classical mechanics, the momentum (p) of an object can be calculated using its kinetic energy (KE) and velocity (v). The relationship between momentum, kinetic energy, and velocity is as follows:

p=2mKEp = sqrt{2mKE}

Where:

  • p is the momentum of the object
  • m is the mass of the object
  • KE is the kinetic energy of the object
  • v is the velocity of the object

To solve for momentum using kinetic energy and velocity, you need to know the mass of the object. Once you have the mass, you can substitute it into the equation along with the given kinetic energy and velocity values to calculate the momentum.

Keep in mind that the equation assumes non-relativistic speeds, where the velocity is significantly lower than the speed of light. If the object is moving at relativistic speeds, a different equation must be used to account for relativistic effects.

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