At one instant, the center of mass of a system of two particles is located on the x-axis at x = 2.0 and has a velocity of (5.0 ) . One of the particles is at the origin. The other particle has a mass of 0.10 and is at rest on the x-axis at x = 8.0 .
1) What is the mass of the particle at the origin?
2) Calculate the total momentum of the system.
3) What is the velocity of the particle at the origin?