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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