Question

How does the kinetic energy of a body change if it's momentum is halved?

Answer 1

Momentum(p)=mv
since mass will be constant
so if momentum is halved it actually mean, the velocity is halved
so we get velocity=v/2 according to the question

so kinetic energy=1/2m(v/2)^2

Kinetic energy=1/8mv^2
so final kinetic energy would be 1/4 times of initial kinetic energy