Question

A body of mass 4 kg is moving with a momentum of 12 kg m/s its kinetic energy is 1:3 then the ratio of their velocities

Answer 1

The ratio of their velocities = 1 : 3

Explanation:

Given,

A body of mass(m) = 4 kg and momentum(P) = 12 kg $kgms^{-1}$

Let the velocity of the body = v

The ratio of kinetic energy = 1 : 3

To find, the ratio of their velocities = ?

We know that,

Momentum(P) = Mass(m) × velocity(v)

⇒ 4 × v = 12

⇒ v = $\dfrac{12}{4}=3ms^{-1}$

∵ The ratio of kinetic energy = 1 : 3

∴ The ratio of their velocities = 1 : 3

Hence, the ratio of their velocities = 1 : 3