Question

Derive the expression of kinetic energy

Answer 1

Answer:

Expression for K.E - KINETIC ENERGY-K.E = 1/2 mv2. "Energy posses by a body by virtue of its motion is referred to as 'Kinetic Energy'". Kinetic energy depends upon the mass and velocity of body. ... Consider a body of mass "m" starts moving from rest.

Answer 2

Answer:Here

Initial velocity = v

Final velocity = 0(zero)

From Newton’s 2nd law

F = ma

or, a = F/m

From 3rd equation of motion

0=v^2 - 2as

or, 2as = v^2

or, 2 × F/m × s = v^2

or, s = (mv^2) /2F

Therefore , workdone by the force,

W = Fs

or, W = F ( mv^2 )/2F

or, W = 1/2 mv^2

Hence,

Kinetic energy = 1/2mv^2.

Explanation: