Linear Impulse-Momentum Principle
Linear impulse-momentum principle for a system of particles
The linear momentum for a system of particles is the sum of the individual momenta of each particle.
Linear momentum: G = ∑mivi
Linear impulse: I = ∫∑F dt
The impulse of all the resultant forces acting on the system of particles is equal to a system's change in linear momentum.
∫∑Fdt = ∑mi,2vi,2 - ∑mi,1vi,1
Conservation of linear impulse-momentum principle for a system of particles
If the resultant force on a system of particles is zero during an interval of time, linear momentum must remain constant.
∑mi,2vi,2 - ∑mi,1vi,1 = 0