Question

1. Derive the equation for kinetic energy of an object and
define kinetic energy​

Answer 1

Answer:

Energy possessed by a body by virtue of its motion is kinetic energy.

Derivation:

Consider a body of mass m initially at rest. If on application of force F, it travels a distance s, then

Work done, W = F x s

By Newton's second law, F = ma

W = ma x s

where, a = acceleration

Using equation of motion v2 - u2 =2as, we get

(v2-u2)/2 = as

W = m x (v2 - u2)/2

As intial velocity is zero, W = ½mv2

This work done is stored as kinetic energy of the object.

So, KE = ½ mv2

Explanation:

Answer 2

Answer:

The kinetic energy of a body is half the product of the mass of the body and square of the velocity of the body. K.E ∝ v ^ 2.