Write true or false for the following statements :

When velocity is halved, its kinetic energy becomes 1/4^th.

True

Explanation: Kinetic energy KE of a body of mass m moving with velocity or speed v is given by the formula:

KE = m v²

so kinetic energy is directly proportional to the mass of object and to the square of speed of the body.

KE₁ = mv₁²

If the velocity of body is halved then kinetic energy

KE₂ = mv₂² where, v₂ = v₁

Substituting the value of v₂ in the formula,

KE₂ = m ( v₁)²

= ( mv₁²)

KE₂ = KE₁

So kinetic energy will become 1/4 if the speed is halved.