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Two bodies of masses m1 and m2 have the same linear momentum. What is the ratio of their kinetic energies?

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by fathima23

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by fathima23

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So given m1v1=m2v2

v1/v2 = m2/m1

K1/K2 = (1/2m1v1²)/(1/2m2v2²)

K1/K2 = (m1/m2)/(v1/v2)²

K1/K2 = (m1/m2)/(m2/m1)²

K1/K2 = m2/m1__ANSWER__

v1/v2 = m2/m1

K1/K2 = (1/2m1v1²)/(1/2m2v2²)

K1/K2 = (m1/m2)/(v1/v2)²

K1/K2 = (m1/m2)/(m2/m1)²

K1/K2 = m2/m1