frozenbanana / BouncingBalls

Physics project

BouncingBalls

Physics Project

Q: What is Bouncing Balls?

Bouncing Balls is a light-weight space simulation made by me for a physics project. The user can spawn spheres called Balls with various radii, mass and color. The user can also spawn a so called Neutron Stars causing gravitational pull on the Balls.

Q: What is the main features?

Ball collision in two dimensions, acceleration calculation.

The equation used for collision is:

• Calculate new velocity:

u_i = v_i + (u_ip - v_ip) (e_p + e_n) ,where e,v,e are 2D - vectors

• Calculate new angular velocity:

w = mrmy*(u_p - v_p)/I * (e_r x e_n) ,where e,v,e are 2D - vectors and I = 0.4mr^2

• Calculate gravitational pull:

F = G * M * m/R^2 ,where R is distance between objects and G is 6.674 * 10^-11 a = F/m

Q: What are the limitations?

• The Balls and Neutron Stars are initiated with a predefined sized array. The maximum number of Balls and Neutron Stars are 15 and 10.
• When balls are colliding with a wall there is no energy lost in the collision.
• Neutron Stars are not subject to collision.
• The density of the balls are constant. The value of radius is the same as the mass.
• Movement is restricted to two dimensions.

Q: How to run?

Run the .exe-file approriate to your system or use the makefile. Enjoy!