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Momentum = (mass) x (velocity), which is directly proportional to both mass and velocity.

Since mass is constant, any change in momentum is the result of a change in velocity only.

If the percent increase 'P' in momentum is given, velocity must have increased to (1 + 0.01P) of its original value.

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Kinetic energy = 1/2 (mass) x (velocity)2, which is directly proportional to mass and to the square of velocity.

Since mass is constant, any change in kinetic energy is the result of a change in velocity only.

If the velocity changes from its original value by a factor of (1 + 0.01P), the KE changes by a factor of (1 + 0.01P)2.

The new KE is (1 + 0.01P)2 or [ 1 + 0.02P + 0.0001P2 ] times its original value.

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Q: How do you find the increase in kinetic energy if the percent increase in momentum is given?
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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 than the vector energy cVm. the so-called kinetic energy is vp/2 = 1/2 mv2. kinetic energy is a product of the vector energy cmV, no Velocity , no kinetic energy.


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