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A light and a heavy object …

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A light and a heavy object have same momentum. Find the ratio of their kinetic energy and find which has greater kinetic energy.

Posted by Akul Gupta 4 years, 7 months ago

CBSE > Class 09 > Science

1 answers

Yogita Ingle 4 years, 7 months ago

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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CBSE > Class 09 > Science