A light and heavy mass have equal kinetic energies. Which of the two will have a higher value of momentum? Why?
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Answer:
According to question,
A light body having mass = M1
A light body having velocity = V1
A heavy body having mass = M2
A heavy body having velocity = V2
Momentum of light body ,P1 = M1 × V1
Momentum of heavy body ,P2 = M2 × V2
Now, M1 is less than M2 (M1 < M2)
But, P1 = P2
That is, M1 × V1 = M2 × V2
As M2 is great so V2 is less than V1 to make them equal. So V1 is greater than V2.
Kinetic energy depends more on velocity than mass as ,K.E. = 1/2 × M1 × V1 ×V1
So kinetic energy of lighter body is more than faster body
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