Question

How does the k.E. Of a body changes when it's linear momentum is doubled?

Answer 1

Hey there,

p=mv, and

KE=mv²/2

where p is momentum and KE is kinetic energy.

So KE=p²/2m

p=√(2mKE)

If KE is doubled, then p=√(2m2KE)

So the momentum becomes √2 times.