Need help with a Physics problem about momentum

Anonymous
timer Asked: Nov 5th, 2015
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Question Description

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

Tutor Answer

rgoyal67
School: UT Austin

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.

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Anonymous
awesome work thanks

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