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A light body and a heavy body have same linear momentum. Which one has greater K.E.?

CLASS - XI PHYSICS (Work, Energy and Power)



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Let  m be the lighter body and  M be the  heavier one.  M > m
Let p be linear momentum of m or of M.

    K.E. = 1/2 p² / mass
K.Em :  p² /2m    and    KE_M is   p² / 2M

Since m is less than M,  KE_m is greater than KE_M, as p is same for both.  So the lighter body has the greater KE.

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