MUST USE PYTHON PROGRAMMING!

When two objects collide the total momentum (p) is conserved:

as is the kinetic energy (KE):

A scientist has setup a collision experiment to find the mass of any 3 exotic particles by colliding them in pairs. The collisions are 1D, and the particles always collide, and everything is nonrelativistic, frictionless)

The experiment is as follows:

In the first collision particle A collides with particle B and the total momentum after is found via a sensor

In the second collision a second particle A collides with particle C and the total momentum after is found via a sensor

The scientists know the input speeds for all particles, but it is always different.

All particles hit an energy sensor and total KE is found.

Setup a Python program for our scientist to easily change velocities of the particles, kinetic energy and get the masses of the balls.

The scientist has given you a set of data to test with:

	Velocity (m/s)	Velocity (m/s)	Momentum (kg m/s)
Collision 1	5	-3	15
Collision 2	15	2	200

Final Kinetic Energy = 1000J

Hint: You probably need to write down some equations here. Think matrix!

PinitialPfinal K Pinitial K Efinal PinitialPfinal K Pinitial K Efinal