Question

derivation of ke=1/2mv2​

Answer 1

Workdone by a force of body=w=fs. 1

K=1/2mv2

From newtons 2nd law of mation

F=ma

Subtittuting this value in eq1

We get. W=(ma)s. 2

Now, using v2-u2=2as we get

V2-02=2as

S=v2/2a. 3

Subttituting this value in eq2,we get

W=ma*v2/2a

W=1/2mv2

This work done is equal to k.E of body

.: k.E=1/2mv2.

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