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. If the momentum of an object is tripled, its kinetic energy will change by what factor?

1 answer

There is a relationship between momentum and energy

KE = 1/2mv^2

p = mv

m = p/v

KE = 1/2 (p/v)v^2
KE = 1/2 pv

From wiki answers

The relation between kinetic energy is proportional to the square of velocity.

Momentum is directly proportional to velocity.
If the momentum of an object is doubled, but its mass does not increase (so velocity remains well below the speed of light), then its velocity is doubled.

If the velocity is doubled then the kinetic energy increases by the square of 2, or four time.
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