The momentum of an object is doubled. How does its kinetic energy change?

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Solution

The relation between momentum (p) and kinetic energy (E) is : $E_{1} = \frac{P^{2}}{2 m}$
Therefore, if P is doubled , $E_{2} = \frac{4 P^{2}}{2 m}$
Therefore , $E_{2} = 4 E_{1}$
Therefore , kinetic energy is quadrapled that is 4 four times the initial one.

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