Question

If the momentum of an object is increased by 10% then its kinetic energy will be increased by

Answer 1

Answer:

Momentum = velocity × mass. I’m assuming mass stays constant throughout the transformation, so the difference in momentum is due to changes in velocity.

A 10% increase in momentum translates to a 10% increase in velocity, which we can then put into the KE formula (1/2)(m)(v^2).

Because v(initial) ×1.1 = v(final) the formula becomes

0.5 × m × (1.1v)^2 = 1.21 (0.5mv^2) = 1.21 KE

Thus a 10% increase in momentum becomes a 21% increase in KE.