Question

The kinetic energy of an object increases with its speed. Explain the statement by giving suitable example.

Answer 1

Dear Student

Kinetic energy increases with the square of the speed.
Because K.E. = 1/2 mv²
An object doubling its speed has four times as much kinetic energy.

Let Kinetic energy is E and speed is v.
Now, speed is increased and becomes 2v.
K.E., E₁ = 1/2 m (2v)²
E₁ = 4 × 1/2 mv²

E₁ = 4 × E = 4E
This shows that if speed is increased, kinetic energy also increases.

Regards