Question

derive the equation for kinetic energy​

Answer 1

u = 0m/s
Work = Force x Distance
W = f x s
v^2 - u^2 =2as
(0)^2 - v^2 = -2as
- v^2 = -2as
v^2 = 2as — (i)

f= ma
=> a = f/m — (ii)

Use (ii) in (i),
=> v^2 = 2 x f/m x s
=> 1/2mv^2 = f x s = Work = Energy

=> Kinetic Energy = 1/2mv^2

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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