- #1
vip4
- 4
- 0
Does anyone know the equations for 2D elastic collisions.
A 2D Elastic Collision is a type of collision between two objects in which both the momentum and kinetic energy are conserved. This means that after the collision, the total momentum and total kinetic energy of the system remains the same.
The equations used to calculate 2D Elastic Collisions are the conservation of momentum equation and the conservation of kinetic energy equation. These equations are used to solve for the final velocities of the objects involved in the collision.
The conservation of momentum equation states that the total momentum before a collision is equal to the total momentum after the collision. This can be written as m_{1}v_{1i} + m_{2}v_{2i} = m_{1}v_{1f} + m_{2}v_{2f}, where m is the mass of the object and v is the velocity.
The conservation of kinetic energy equation states that the total kinetic energy before a collision is equal to the total kinetic energy after the collision. This can be written as 1/2m_{1}v_{1i}^{2} + 1/2m_{2}v_{2i}^{2} = 1/2m_{1}v_{1f}^{2} + 1/2m_{2}v_{2f}^{2}, where m is the mass of the object and v is the velocity.
2D Elastic Collisions can be seen in many real-life scenarios, such as billiards, bumper cars, and air hockey. They are also used in physics experiments to study the conservation of momentum and energy. Additionally, understanding these equations is essential in fields such as engineering and astronomy.