Question

Derive the formula for the kinetic energy of an object of mass ‘m’, moving with ‘v’

Answer 1

Explanation:

Consider a body of mass "m" moving with an initial velocity "u".

A constant force "F" acts on it and the velocity changes to "v".

Let "s" be the distance covered and "a" be the constant acceleration

We know that

v² - u² = 2as

s =

We know that ,

Work done = Force(F) × displacement (s)

F = ma

W = ma ×

["a" gets cancelled ]

W = m ×

=  m[v² - u² ]

When , initial velocity , u = 0

W =  mv²

K.E = Work done

=  mv²

.

.

Hope this helps!