Question

If the speed of the body is halved,what will be the change on its kinetic energy?

Answer 1

we know that the kinetic energy is given as

E = (1/2)mv²

so,

E ~ v²

thus, if the speed of the body is halved

E' ~ (v/2)² ~1/4v²

thus,

E' = E/4

so, kinetic energy will reduce by one-fourth