Energy possessed by an object due to its motion is called kinetic energy.
Kinetic energy of an object increases with its speed. Kinetic energy of an object moving with a velocity is equal to the work done on it to make it acquire that velocity.
Example-1 Kinetic energy of a hammer is used to drive a nail into the wall.
Example-2 Bullet fired from a gun can penetrate into a target due to its kinetic energy.
EXPRESSION FOR KINETIC ENERGY
Let a body (ball) of mass m is moving with an initial velocity v. If it is brought to rest by applying a retarding (opposing) force F, then it comes to rest by a displacement S. Let, Ek =
work done against the force used to stop it.
Ek = F . S -----> (1)
But retarding force F = ma-----> (2)
Let initial velocity u = v, final velocity v = 0
From III equation of motion, v2 = u2 + 2as applying,
0 = v2 – 2as ( a is retardation)
2as = v2
displacement, s = v2/2a .....(3)
substituting (2) and (3) in (1), we get
Kinetic Energy of a moving object is defined as half the product of the mass of the object square of the speed of the object.