Collision of Balls with Mass Ratios of 1:1 and 1:3 – Exploring the Characteristics of an Elastic Collision with a Coefficient of Restitution of 1
Sound
Description :
This page allows you to explore simulations of collisions between two balls with mass ratios of 1:1 and 1:3 (with a coefficient of restitution close to 1).
Two pairs of balls with mass ratios of 1:1 and 1:3 are hung side by side like pendulums (only the wooden ball has one-third the mass of the steel ball).
This simulation shows what the setup looks like from above. Collisions between objects with different masses have some interesting features. Try pulling either ball to the side and releasing it. Let it collide with the other ball and observe how their speeds change.
In this simulation, the coefficient of restitution between the balls is set to 1, meaning the collisions are perfectly elastic. A small damping force is added so that the motion gradually decreases over time.
● You can swing the balls by dragging any of them left or right with the mouse and then releasing them.
● You can stop the motion by pressing the "*Stop/Start*" button. After adjusting the initial setup, you can press the button again to start the simulation.
● By pressing the "Normal/Slow" button, you can view the motion in slow mode. Pressing it again will return the motion to normal speed.
● You can return to the initial state by pressing the "Reset" button.
● By unchecking the "Sound" checkbox, you can turn off the collision sound effects.
Note: In some smartphone browsers, the collision sound may not play.
A video of a collision experiment with two balls of mass ratio 1:3 (YouTube) — please have a look as well.
Copyright 2025 KATO, Noriyoshi