Need help with a Physics problem about momentum

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?

Nov 5th, 2015

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

The momentum of an object=  massxvelocity....here m is the mass of the object, v is the velocity of the object

                                              =mxv

now mass of the object remains same, and momentum changes, because velocity is changing

New momentum=4xmv

It means velocity changes to 4v

Now kinetic energy=1/2xmxv^2

New kinetic energy=1/2mx4x4vxv=1/2mx16v^2=16 times of the initial kinetic energy

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 5th, 2015

So the answer is 16?

Nov 5th, 2015

???

Nov 5th, 2015

???

Nov 5th, 2015

?

Nov 5th, 2015

?

Nov 5th, 2015

Yes, the answer is 16

Nov 6th, 2015

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