relation between kinetic energy and momentum
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The momentum of a particle is given by the equation, P = mv, where P is the momentum of the particle, m is the mass of the particle, and v is the velocity of the particle. Since m is in the denominator, the kinetic energy is larger for a smaller m, with P held constant.
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In physics you often hear the words "momentum" and "kinetic energy". It might be tempting to think that they are fairly similar concepts, but in fact they are not. They are related concepts, but are distinct in the physical sense.
To get you thinking more deeply about this imagine getting struck by two fast moving objects having the same momentum. One object weighs 10 kg and the other object weighs 0.1 kg.
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