# Need help with a Physics problem about momentum

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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?

rgoyal67
School: UT Austin

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

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Anonymous
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