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?
Momentum of a body, P = MV
Assume both the particles have mass M and m and have speed v and v’ respectively. Both the particles have same momentum (Mv = mv’)
Kinetic energy ,K.E = 1/2 Mv^2 = ½ (MxMx v^2)/M = (1/2) (p^2)/M
K.E’ = 1/2 mv’^2 = 1/2 (m x m x v’^2)/m = (1/2)(p^2)/m
K.E / K.E’ = (p^2/2M) / (p^2/2m) = 2m/2M = m/M
Since M>m
So, (m/M)<1 (K.E < K.E’)
Therefore, light particles have more kinetic energy than that of heavier particles.
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Welcome to the NCERT Solutions for Class 9 Science - Chapter . This page offers a step-by-step solution to the specific question from Excercise 0 , Question 21: A light and a heavy object have the same momentum. Find out the ratio of their kinetic energies. Whi....
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