Concept #1: Universal Law of Gravitation

Example #1: Where is Net Force on middle object zero?

Practice: Two spheres of mass 300 kg and 500 kg are placed in a line 20 cm apart. If another sphere of mass 200 kg is placed between them, 8 cm from the 300 kg sphere, what is the net gravitational force on the 200 kg sphere?

Concept #2: Center of Mass Distance

Example #2: Find force between spheres with radii

Practice: A 2,000-kg spacecraft is blasting away from the surface of an unknown planet the same size as the Earth. At 1500km above the surface, an instrument onboard reads the gravitational force to be 18000 N. What is the planet’s mass?