Question

Derive the formula of kinetic energy​

Answer 1

Answer:

Derivation of the equation for kinetic energy (K.E = ½ m v 2)

Answer 2

Explanation:

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Kinetic energy :

From equations of motion, the relation connecting the initial velocity (u) and final velocity (v) of an object moving with a uniform acceleration a, and the displacement, s is But from

Newton’s second law of motion

F = m a

work done by the force, F is written as the following:

If the object is starting from its stationary position, that is, u = 0, then From work and energy theorem, work done is equal to the change in the kinetic energy of the object.

w = (1/2) mv^2

If u = 0,

the work done will be,

Thus the kinetic energy possessed by an object of mass, m and moving with a uniform velocity, v is

K.E = (1/2) mv^2

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