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Dynamics Of Rigid Bodies2D

Kinetics of Particles: Impulse and Momentum - Theory & Concepts - Collision

Application of the principle of linear impulse and momentum to solve problems involving force, mass, velocity, and time, including systems of particles.

Open the complete lesson

Collision Impulse & Momentum Simulator

State: approaching

Collision Settings

Object A (Blue)
Mass (m1m_1)3.0 kg
Initial Velocity (v1v_1)3.0 m/s
Object B (Red)
Mass (m2m_2)2.0 kg
Initial Velocity (v2v_2)-2.0 m/s
Restitution (ee)0.70

Step-by-Step Solver

1. Momentum Conservation
m1v1+m2v2=m1v1′+m2v2′m_1 v_1 + m_2 v_2 = m_1 v_1' + m_2 v_2'
3 × 3.0 + 2 × -2.0 = 5.00 N·s
2. Restitution Relation
e(v1−v2)=v2′−v1′e(v_1 - v_2) = v_2' - v_1'
0.70 × (3.0 - (-2.0)) = 3.50 m/s
3. Solved Final Velocities
v1′=m1v1+m2v2−m2e(v1−v2)m1+m2v_1' = \frac{m_1 v_1 + m_2 v_2 - m_2 e(v_1 - v_2)}{m_1 + m_2}
v_1' = -0.40 m/s
v2′=v1′+e(v1−v2)v_2' = v_1' + e(v_1 - v_2)
v_2' = 3.10 m/s
Collision Space and PlotsCoMA3.0kgB2.0kg3.0 m/s-2.0 m/sx (pos)t (time)
Momentum Balance (Ns)
Initial Momentum:5.00
Final Momentum:5.00
Conservation verified: 100% constant
Energy Balance (Joules)
Initial KE:17.50 J
Final KE:9.85 J
Thermal Loss:7.65 J

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