Question

if the speed of a body is halved than what will be the the kinetic energy of the same object and why?

Answer 1

Hello,

We know that the kinetic energy of a body is given by, K = (1/2) mv²

Where, m = mass of the body, v = velocity of the body

When the speed of the body becomes half , i.e. v' = v/2

Then, kinetic energy of the body becomes, K' = (1/2) m(v')²

=> K' = (1/2) m(v/2)²

=K/4

Thus, the Kinetic energy become one forth of the initial value if the speed is halved.