Two particles of masses M1 = 93000 kg and M2 = 4200 kg are initially at rest an a distance 148.1 km apart. The masses are let go, and as a result of the gravitational force the two masses move towards each other.
a) Calculate the speed of mass M1 when their separation distance is 82.3 km. (I want you to use the reduced mass and convert the two body problem into the equivalent one-body problem, then solve.)
b) Calculate the speed of mass M2 at this separation distance
c) How much time does it take for the particles to collide?