Question

How does force relate to kinetic energy?

Answer 1

The force will determine how much energy the body will acquire.

Explanation:

From Newtons 1st law of motion, if a body is at rest and is subjected to a force which accelarates it at `a` m/`s^2`, then its velocity after t secs is:

`v=a*t`

From Newtons 2nd law of motion, the Force required to accelerate a body is f=given by:

`F=m*a`

The moving body will have a Kinetic Enery given by

`K.E= (1/2) * m *v^2`

Do some substitutions:
`K.E= (1/2) * m *v^2`

`(1/2) * m *(a*t)^2`

`(1/2) * m *a^2*t^2`

`(1/2) * F*a t ^2`