Physics, asked by ankit382222, 9 months ago

Drive an expression for kinetic energy.

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Answered by Anonymous

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Kinetic energy is a scalar quantity like other forms of energies. Consider a body of mass "m" starts moving from rest. After a time interval "t" its velocity becomes V. Expression for K.E - KINETIC ENERGY-K.E = $1 \div 2$ m ${v}^{2}$

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Answered by sourya1794

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✓✓Drive an expression for kinetic energy.

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Let us considered a block of mass M kept at rest on a friction less surface .

let constant F applied on a block.

The work done on the Block by the force (f) is,

$\sf\:W=f×s$

$\sf\:=m×a×s$ -----------------------(i)

$\sf\implies\:{v}^{2}={u}^{2}+2as$

$\sf\implies\:{v}^{2}={0}^{2}+2as$

$\sf\implies\:{v}^{2}=2as$

$\sf\implies\:a=\dfrac{v^2}{2as}$ -------------------(ii)

$\sf\: From\:eq\:(i)\:and\:(ii)$

$\sf\:=m×\dfrac{v^2}{2s}×s$

$\sf\:=\dfrac{1}{2}m{v}^{2}$

$\sf\boxed{\sf\therefore\:W=KE=\dfrac{1}{2}m{v}^{2}}$

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-----------------------(i)

-------------------(ii)

Drive an expression for kinetic energy.

$\sf\:=m×a×s$ -----------------------(i)

$\sf\implies\:a=\dfrac{v^2}{2as}$ -------------------(ii)