Question

If the kinetic energy of a body is halved, what will be the change in momentum?

Momentum will become 1/√2 times

Momentum will remain same

Momentum will become √2 times

Momentum will become halved

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Answer 1

Answer:

The relation between kinetic energy and momentum of an object is:

K = p^2/2m

where K is kinetic energy, p, is momentum, and m is mass. So, if the momentum is halved.

K = (1/2)(p^2)/2m

So let's say the momentum of a random object is 1 kg m/s. the kinetic energy is now 0.25.

When p is halved, the kinetic energy is now 0.0625.

Hope this helps :-)

Sorry if I messed up on some of the calculations.