I need help with a physics problem

Physics
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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

Dec 9th, 2015

Thank you for the opportunity to help you with your question!

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

m is the mass of the particle.

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.

I hope this would help you,but if you have any doubt regarding this,you can surely ask. :)
Dec 9th, 2015

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Dec 9th, 2015
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Dec 9th, 2015
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