derive the formula for the kinetic energy of an object of mass m moving with velocity v
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we know that
k=f×s
let,
initial velocity=v
final velocity =0
on using equation of third law of motion
ie. v²=u²+2as (retardation)
on substitution of final and initial velocity
0=v²-2as on transposing
s=v²/2a
k=f×s
k=ma×v²/2a (on substituting values and transposing)
k=1/2m×v²
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