Home/Basic Physics/Linear momentum, impulse and collisions/Center-of-mass velocity7. Linear momentum, impulse and collisionsCenter-of-mass velocityIn 7. Linear momentum, impulse and collisionsFormulaCopy LaTeXv⃗CM=∑imiv⃗iM=P⃗totalM\vec v_{\text{CM}}= \frac{\sum_i m_i\vec v_i}{M} = \frac{\vec P_{\text{total}}}{M}vCM=M∑imivi=MPtotalTagscollisionsphysicsphysics formulamomentummomentum impulse collisionsDetailThe center-of-mass velocity is the total linear momentum divided by the total mass.Explore the ideaExplore the ideaFound an error? Contact us.Related formulasRelatedConservation of linear momentum∑p⃗i=∑p⃗f\sum\vec p_i=\sum\vec p_f∑pi=∑pfOpen formulaOpen in sectionRelatedCenter of massr⃗CM=∑imir⃗i∑imi\vec r_{\text{CM}} = \frac{\sum_i m_i\vec r_i}{\sum_i m_i}rCM=∑imi∑imiriOpen formulaOpen in section