How does force relate to kinetic energy?

1 Answer
devi f.
Mar 13, 2018

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

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