Momentum of a body is the quantity of motion poses by the body.
It is defined to be the product of its mass m and velocity v. It is denoted by p.
SI unit of momentum is kgm/s. In CGS system gcm/s. It’s dimensional formula is [MLT⁻¹].
Variation Of Momentum
Case-I: Let two objects each of mass m are moving with different velocities V₁ and V₂ with V₁>V₂, then
Thus, the momenta of bodies having equal masses are proportional to their velocities.
Case-II: Let two object of same velocity and different masses, then
Thus, the momentum of bodies having equal velocities are proportional to their masses.
Case-III: Let two objects having equal linear momenta.
Thus, P₁ = P₂ = P
⇒ m₁v₁ = m₂v₂
Thus, the velocities of bodies having equal linear momenta are inversely proportional to their masses.