A body of mass m moving with velocity v has k | vedclass

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(B) The expression for kinetic energy,$K = \frac{1}{2} mv^2$,is derived from classical mechanics (Newtonian mechanics).In classical mechanics,the mass

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The body moves with a velocity negligible compared to the speed of light.

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(B) The expression for kinetic energy,$K = \frac{1}{2} mv^2$,is derived from classical mechanics (Newtonian mechanics).In classical mechanics,the mass $m$ of an object is considered a constant,independent of its velocity.However,according to Einstein's theory of special relativity,as an object's velocity $v$ approaches the speed of light $c$,its relativistic mass increases according to the formula $m = \frac{m_0}{\sqrt{1 - v^2/c^2}}$.Therefore,the classical formula $K = \frac{1}{2} mv^2$ is only valid when the velocity $v$ is much smaller than the speed of light $(v \ll c)$,meaning the velocity is negligible compared to the speed of light.

$A$ body of mass $m$ moving with velocity $v$ has kinetic energy equal to $\frac{1}{2} mv^2$. This statement is valid when:

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