9 2. (30 pts) Consider the following idealized case. We have N-3, small particles and Spherical that could interact with each other, Contained within a flat, square region. The region has dimensions a₂ on each side X-Y Coordinates describe the position of each particle within the square and the particlo can move with some free dom within the region. Arrange the coordinate system in one of the corners of the square. Determine mathematically the following: The a- Express the linear momentum of a mass mx and the total of all the N-particles b- If f Box is the force that exerts Mp on m, throughout B+x, and Fα = Foŷ, with to a constant value, is a external force Fa that acts on each mot, α = 1, 2, ... N determine the acceleration of the center of mass a particle ma C- Determine how the acceleration of the Center of mass of the assembly. d- Carefully describe the assumptions you made to arrive at the result of parte. e- Express the momentum angular of a respect to origin Ma with Coordinates. of f- Determine net torque carried out by external forces on the N- particles