Question

Derive the principle of work and energy using newtons second law

Answer 1

hlo friend
HERE IS UR ANSWER

From Newton’s Second Law of motion, we know that F = ma, and because of the definition of acceleration we can say that

If we multiply both sides by the same thing, we haven’t changed anything, so we multiply by v:

But remember that v = dx/dt:

We rearrange and integrate:
F dx = mv dv

Fx = m(½v2) = ½mv2 = Ek
But Fx = Work; therefore Work = ΔEk.

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Answer 2

$\textbf{Answer is in Attachment !!}$