Elastic and Inelastic Collisions in One and Two Dimensions An elastic collision is one in which the total kinetic energy of the colliding objects is cons...
An elastic collision is one in which the total kinetic energy of the colliding objects is conserved, meaning it remains the same before and after the collision. This means that the total mass of the system (m1 + m2) is conserved before and after the collision.
Examples:
A car traveling at 20 m/s collides with a wall and comes to a complete stop.
A marble rolling down a ramp and colliding with a wall.
A thrown baseball returning to the thrower after being hit by a bat.
An inelastic collision, on the other hand, is one in which the total kinetic energy of the colliding objects is not conserved. This means that the total kinetic energy of the system is not the same before and after the collision.
Examples:
A car and a wall colliding head-on.
A ball hitting a wall and bouncing back.
A stone thrown straight into a wall.
Key differences:
Elastic collisions:
Collisions between objects with the same mass.
The colliding objects maintain their relative velocities after the collision.
The total kinetic energy is conserved.
Inelastic collisions:
Collisions between objects with different masses.
The colliding objects stick together after the collision.
The total kinetic energy of the system is not conserved.
Additional points:
The amount of kinetic energy lost or gained in an elastic collision depends on the mass and velocities of the colliding objects.
In an inelastic collision, some of the kinetic energy is lost as heat, sound, or deformation of the objects.
Elastic and inelastic collisions can be both one-dimensional or two-dimensional.
Elastic collisions are generally easier to analyze than inelastic collisions