Question
If unit of velocity is increased by factor four times, then by what factor the unit of momentum and kinetic energy will increase?
Solution
Momentum of a particle is given by, p = mv
Kinetic energy is given by K.E = 1/2 mv2
i.e. 
Therefore, if unit of velocity becomes four times, the unit of momentum will also increase by the factor four.
Since kinetic energy is directly proportional to the square of velocity, therefore, unit of kinetic energy increases by factor sixteen.
