Question

a light and a heavy object have the same momentum. find out the ratio of their kinetic energy.which one have a larger kinetic energy?​

Answer 1

Answer:

KE 1 > KE 2

Explanation:

Let mass of the lighter object be m and that of the heavier object be M

p1 = p2 = p (momentum is equal, given)

p = square root(2×m×KE)

square root(2×m×KE 1) = square root(2×M×KE 2)

=> 2×m×KE 1 = 2×M×KE 2

=> KE 2 = (m/M)×KE 1

Since m<M, m/M < 1

=> KE 1 > KE 2 ••• (ans)