Momentum and Center of Mass

Linear Momentum is defined as
p=mv

where v is the velocity of the particle

-Momentum is a velocity vector
-Momentum of system of particles is the vector sum of individaul momentum of the particle
p_total=∑v_iM_i



Center Of Mass: R_cm=∑r_iM_i/∑M_i

In co -ordinates system
x_cm=∑x_iM_i/∑M_i

y_cm=∑y_iM_i/∑M_i
z_cm=∑z_iM_i/∑M_i

Velocity of CM=∑v_iM_i/∑M_i

Acceleration of CM=∑F_ext/∑M_i


Law Of conservation of Momentum:
if ∑F_ext=0

then ∑v_iM_i=constant