Translational Motion

Momentum Calculations & Components

Initial State
v1x = 10.00 | v1y = 0.00 m/s  |  p1x = 50.00 | p1y = 0.00 kg·m/s
v2x = 0.00 | v2y = 0.00 m/s  |  p2x = 0.00 | p2y = 0.00 kg·m/s
System Totals
mtot = m1 + m2 = 8 kg
pi,x = 50.00 | pi,y = 0.00 kg·m/s  |  pf,x = 0.00 | pf,y = 0.00 kg·m/s
Final State m1
v1x' = 0.00 | v1y' = 0.00 m/s
p1x' = 0.00 | p1y' = 0.00 kg·m/s
Final State m2
v2x' = 0.00 | v2y' = 0.00 m/s
p2x' = 0.00 | p2y' = 0.00 kg·m/s

Post-Collision Vector Addition

Vector p1' Trigonometry (m1')
p1x' = p1' · cos(θ1)0.00
p1y' = p1' · sin(θ1)0.00
|p1'| = √p1x'2 + p1y'20.00
Vector p2' Trigonometry (m2')
p2x' = p2' · cos(θ2)0.00
p2y' = p2' · sin(θ2)0.00
|p2'| = √p2x'2 + p2y'20.00
Vector Addition & Resultant
pf,x = p1x' + p2x'0.00
pf,y = p1y' + p2y'0.00
|pf| = √pf,x2 + pf,y20.00
pi,x (Initial)0.00

Centre of Mass Calculations

Mass Overview
m1 = 5.00 kg
m2 = 3.00 kg
Mtotal = 8.00 kg
Position relative to m1
x1 = 0 m
xcom = m2·dm1+m2 = 3.75 m
Distance from m₁ = 3.75 m
Position relative to m2
d = 10.0 m
Distance from m₂ = 6.25 m
Formula Summary
xcom = m1x1 + m2x2m1 + m2
Status: Static System