Prove that K.E =
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What is the proof for K.E=1/2mv^2?
First up it’s K.E. = 1/2 m (v^2) ; the squared only applies to the v.
Here’s the way I do it, but there are other ways:
Using work done = force x distance (in the direction of the force)
f = m a
and v^2 = u^2 + 2as from the equations of motion.
Rearrange for s, substitute f/m for a into the equation of motion, then substitute into work = f s.
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