Physics, asked by ramji6538, 1 year ago

How does the kinetic energy of a body change if momentum is double?

Answers

Answered by nandinibatta
6

KE = \frac{p^{2} }{2m}\\\\KE = \frac{(2p)^{2} }{2m}\\ \\KE = 4\frac{p^{2} }{2m}

Kinetic energy becomes four times the original.

Answered by tiwaavi
11

We know the Relation,

K.E. = p²/2m

Initial Kinetic Energy (K.E. ₁)= p²/2m   ------eq(ii)

Now, If the Momentum, p will be doubled, then

K.E.₂ = (2p)²/2m

⇒ K.E.₂ = 4p²/2m

⇒ K.E.₂ = 4 (K.E.₁)

This means that if the momentum will be doubled then the kinetic energy will become four times that of the initial.


Hope it helps .

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