Question

How does force relate to kinetic energy?

Answer 1

$\huge\red{Answer}$

From Newtons 1st law of motion, if a body is at rest and is subjected to a force which accelarates it at a m/s2, 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⋅v²

Do some substitutions:

K.E=(1/2)⋅m⋅v²

(1/2)⋅m⋅(a⋅t)²

(1/2)⋅m⋅a²⋅t²

(1/2)⋅F⋅at²

HOPE IT HELPS YOU !!