How does force relate to kinetic energy?

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How does force relate to kinetic energy?

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Answer 1 · 2018-03-13T21:53:42

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 $a$ $a$ m/ $s^{2}$ $s^2$ , then its velocity after t secs is:

$v = a \cdot t$ $v=a*t$

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

$F = m \cdot a$ $F=m*a$

The moving body will have a Kinetic Enery given by

$K . E = (\frac{1}{2}) \cdot m \cdot v^{2}$ $K.E= (1/2) * m *v^2$

Do some substitutions:
$K . E = (\frac{1}{2}) \cdot m \cdot v^{2}$ $K.E= (1/2) * m *v^2$

$(\frac{1}{2}) \cdot m \cdot {(a \cdot t)}^{2}$ $(1/2) * m *(a*t)^2$

$(\frac{1}{2}) \cdot m \cdot a^{2} \cdot t^{2}$ $(1/2) * m *a^2*t^2$

$(\frac{1}{2}) \cdot F \cdot a t^{2}$ $(1/2) * F*a t ^2$

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How does force relate to kinetic energy?

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