Impulse for Two Objects being Attracted to One Another

The video tutorial explains a physics problem involving two identical spheres in a universe devoid of other objects. The spheres are released from rest and move towards each other due to gravitational attraction. The tutorial covers the concepts of impulse, momentum, and conservation of mechanical energy. It explains how to calculate the final velocity of the spheres using gravitational potential energy and kinetic energy equations. The tutorial concludes with solving for the magnitude of the impulse delivered to each sphere.

What types of mechanical energy are present initially and finally in this situation?

How do you derive the final velocity of each sphere just before they make contact?

What is the significance of the impulse delivered to each sphere in this problem?