A light and a heavy body have the same k...

A light and a heavy body have the same kinetic energy. Which one of the two will have greater momentum ?

Text Solution

Verified by Experts

Kinetic energy, `E_k = (1)/(2)m upsilon^2 = ((m upsilon)^2)/(2m) = (P^2)/(2m) (momentum, P = m upsilon)`
Thus, `P^2 = 2 m E_k or p = sqrt(2m E_k)`
Since `E_k` is the same for both the bodies, `p prop sqrtm.` Thus, the heavier body (with more m) will have more momentum then the ligheter body (with less m), though both have the same kinetic energy.

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A light and a heavy body have equal kinetic energy. Which one has a greater momentum ?

The light body

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It is not possible to say anything without additional information

A light and a heavy body have equal momenta. Which one has greater K.E

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Data is incomplete

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