Question

what is the derivation of kinetic energy​

Answer 1

Answer:

Explanation:

Expression for Kinetic energy(Ek)- Consider an object with mass m, moving with initial velocity u. Let a force F, act on it causing a displacement s, along the direction of force and accelaration. Let the object attain final velocity v. We know F = m x a ------------------------ 1 By position velocity relation we have, V2 = u2 + 2as or s = v2 -u2 / 2a ----------------------------- 2 The work done by the force W = F x s -------------------------------------- 3 Substituting 1 and 2 in 3 W = (m x a) x (v2 - u2/2a) W = m/2 (v2 - u2) W = 1/2 mv2 - 1/2 mu2 -------------------- 4 For an object to be at rest in the beggining, u = 0 Therefore, W = 1/2 mv2 W = Ek ( Ek = kinetic energy) Therefore, Ek = 1/2 mv2

Answer 2

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

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

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