Question

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Define kinetic energy. Derive an expression for the kinetic energy of an object.

Answer 1

the energy possessed by the virtue of its motion is kinetic energy
expression 1/2 mv2 ( half × mass×velocity square

Answer 2

The energy produced by a body due to the virtue of its motion is called kinetic energy.

${ \red{ \bf{ Derivation \: of\: kinetic \:energy:- }}}$

Let,

m=mass of a body at rest

F=force applied on the body

s=displacement in the direction of force

v=final velocity of the body

As, v²=u²+2as

v²=0²+2as

v²=2as

s=v²/2a

Then,

Work=fs

W=F×S

W=ma×v²/2a

W= mv²/

K = 1/2mv²