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

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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

So the answer is 16?

???

?

Yes, the answer is 16

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