Question

two balls of different masses have same kinetic energy( lighter or heavier) which ball will possess greater momentum?

Answer 1

Let the mass of the light body = m kg ,  its velocity = v m/s.

Let the mass of the heavy body = M kg,   M > m , its velocity V m/s.

KE = (mv)²/ (2m)  =  (MV)²/(2M )

(mv)²/(MV)² = m/M   < 1        =>   mv < MV

The heavier body has higher momentum.

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2)  lighter body:  m kg and  velocity V m/s

heavier body :  2 m  and  velocity V/2 m/s

Their momentum is same.

But    KE :  1/2 m V²   :  1/2 (2m) (V/2)²

KE :    1 :  1/2

The lighter body has a higher KE

I hope you understand it.

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