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Prove that: k.e=1/2mv^2

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Prove that: k.e=1/2mv^2

Posted by Saurabh Pathak 1 year, 11 months ago

CBSE > Class 09 > Science

1 answers

Preeti Dabral 1 year, 11 months ago

Using equation of motion
2aS = Vf2 – Vi2
Putting the above mentioned values
2ad = V2 – 0
a = V2/2d
Now force is given by
F = ma
Putting the value of acceleration
F = m(V2/2d)
As we know that
Work done = Fd
Putting the value of F
Work done = (mv2/2d)(d)
Work done = mV2/2
OR
Work done = ½ mV2
Since the work done is motion is called "Kinetic Energy"
i.e.
K.E. = Work done
OR
K.E. =1/2mV2

0Thank You

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