Wed December 12, 2012 By:

A heavier body and a lighter body has same kinetic energy. Which of them has greater linear momentum?Justify

Expert Reply
Wed December 12, 2012

kinetic energy = P2/2m where pe is momentum and m is mass. Let the two masses be M and N where N>M.

kinetic energy(with mass as M) = P2/M 
=>P2 = ke*M

kinetic energy ( with mass as N ) = P1 2/N

=> P1 2= ke*N

here, N>M. therefore ke*N >ke*M (kinetic energy is equal). Thus P1 is greater than P [ larger number will have a larger underoot]. Hence more massive object will have more momentum

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