Question
Define kinetic energy. Prove that K.E. associated with a mass 'm' moving with velocity v $\frac{1}{2}\text{mv}^2$.
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Answer
Kinetic energy is defined as the energy associated with a body under motion. $\text{W}=\int\text{Fdx}=\int\text{m}\frac{\text{dv}}{\text{dt}}\text{dx}=\int\text{mv}\text{ dv}=\frac{1}{2}\text{mv}^2$ The work done is transformed as kinetic energy for anybody capable of moving.
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