prove the formula K.E.=1/2mv2
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The work done is accelerating an object is given by:
W=FΔx
Where,
F is the force and
Δx the displacement.
If the object started from rest and all of the work was converted to kinetic energy then this will be equal to the kinetic energy of the object.
Find the below attachment...
so K simplifies to:
K=mv²/2
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