How does force relate to kinetic energy?

1 Answer
Mar 13, 2018

Answer:

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#