The momentum of an object is increased by a factor of 4 in magnitude. By what factor is its kinetic energy changed? Show works please

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Let the momentum of the object be p.Let the kinetic energy be K.Then the relation is

If the momentum is increased by a factor of 4 then m will be 4m.

Then the kinetic energy is

k= (4p)^2/2m =16*p^2/(2m) =16 times the previous kinetic energy.

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