An experiment is performed in deep space with two uniform spheres, one with mass 22.0 kg and the other with mass 108.0 kg. They have equal radii, r = 0.35 . The spheres are released from rest with their centers a distance 45.0 m apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore all gravitational forces other than that between the two spheres.
a) When their centers are a distance 25.0 m apart, find the speed of the 22.0 kg sphere.
b) Find the speed of the sphere with mass 108.0 kg.
c) Find the magnitude of the relative velocity with which one sphere is approaching to the other.
d) How far from the initial position of the center of the 22.0 kg sphere do the surfaces of the two spheres collide?