Question

A body of mass 'm' is moving with a uniform velocity of 'v'. If the velocity increases three times the kinetic energy of the body will increase:

Options

• 3 times

• 9 times

• 6 times

• not very certain

Answer 1

9 times

Explanation:

Kinetic energy is given by $$K = \frac{1}{2}mv^2$$, so it is proportional to the square of velocity.

If velocity becomes three times, kinetic energy becomes $$3^2 = 9$$ times its original value.