kinetic energy and potential energy definition with its formula & derivation

kinetic energy :

The energy due to the movement of the molecule of a body call kinetic energy.

kinetic energy Derivation :

W = F ×  d

F =   ma and  d = s

 W = ma × s   (equation   1)

 According third equation of motion.

 2as =  vf2 - vi2

vi = 0  and  vf =  v

2as =  v

S = v2 /2a

Pat the value of s in equation 1

W = ma ×  v2 /2a

W = 1/2 mv2

W = kinetic energy  =  1/2 mv2

formula of kinetic energy is  K.E =  1/2 mv2  

Potential energy definition :

The energy  present in the molecules of a body called potential energy.

Potential energy

W = F ×  d

F =   ma and d × h

W = mah 

g= a

W = mgh

W = E = potential energy

potential energy = mgh

formula of potential energy is  P.E = mgh