If the Momenumof an object decrease by 50%.The kinetic energy of the object:
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Momentum is directly proportional to velocity, and kinetic energy is directly proportional to velocity squared. So, if momentum becomes 1.5 times bigger, then kinetic energy becomes 1.5 x 1.5 times bigger, which is 2.25 times bigger.
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An increase of 50% in velocity increases the kinetic energy of a moving body by (225% - 100%). ... So, if momentum becomes 1.5 times bigger, then kinetic energy becomes 1.5 x 1.5 times bigger, which is 2.25 times bigger.
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