Question

derive the expression for kinetic energy (ke)​

Answer 1

$\mathtt\pink{Answer}$$\pink{\longrightarrow}$

Ke = Work done

Work = force × displacement

Force = m×a

Displacement=

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

$s = \frac{ {v}^{2} - {u}^{2} }{2a}$

Displacement=

$s = \frac{ {v}^{2} - {u}^{2} }{2a}$

Substituting the values.

$ke = m \times a \times \frac{ {v}^{2} - {u}^{2} }{2a}$

$ke = \frac{1}{2} {m} ({v}^{2} - {u}^{2})$

When an object is moving with constant velocity or from rest u=0.

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

Formula for kinetic energy=

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