Question

what is kinetic energy and explain its derivation​

Answer 1

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$\huge{\underline{Given:-}}$

Let a body of mass "m" moving with a velocity "v"from rest with an acceleration "a" and covers a distance "s".

$\huge{\underline{Explanation:-}}$

Kinetic energy:-

It is the energy possessed by the body due to virtue of its motion.

Derivation of Kinetic energy expression.

Now,

The body of mass "m" is moved by certain force due to which it covers some displacement I.e. "s".(initial velocity = 0)

From work done formula.

$\huge{\boxed{\boxed{W = F.S}}}$

Now, the formula becomes.

${W = m.(a.s)}$

From third kinematic equation.

$\huge{\boxed{\boxed{{v}^{2} - {u}^{2} = 2as}}}$

As u = 0 equation becomes.

${{v}^{2} = 2as}$

${ \frac{{v}^{2}} {2} = a.s}$

Substituting the a.s value in work done formula.

${W = \frac{1}{2} m {v}^{2}}$

As work done = Kinetic energy.

$\huge{\boxed{\boxed{K.E. = \frac{1}{2} m {v}^{2}}}}$

Hence derived.