Question

A light and heavy object has the same momentum. Find the ratio of their kinetic energies. Which one has a larger Kinetic Energy?​

Answer 1

Answer:

Let the two bodies have masses m1 and m2 respectively such that m2 > m1 . Then, for first object p1 = m1v1 and for second object p2 = m2v2

But p1 = p2 or m1v1 = m2v2

Since m1 < m2, then v1 > v2

Now, K = 1/2 mv^2 = 1/2 pv, therefore,

K1/K2 = p1v1 / p2v2 = v1/v2

But v1 > v2

Therefore, kinetic energy of body of lesser mass is more.

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Explanation:

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Answer 2

Answer:

A light and a heavy object have the same momentum, find out the ratio of their kinetic energies. Which one has a larger kinetic energy? Therefore, kinetic energy of body of lesser mass is more. Therefore, K.E is directly proportional to mass.

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