Force of Gravity and Gravitational Potential Energy Functions from Zero to Infinity (but not beyond)

The video tutorial explores Newton's universal law of gravitation, focusing on the equations for gravitational force and potential energy. It discusses graphing these forces both outside and inside a planet, assuming constant density and non-rotation. The tutorial explains the derivation of equations, including Newton's shell theorem, and analyzes the graphs of gravitational force and potential energy, highlighting their relationships and differences.

How do the graphs of gravitational force and potential energy differ?

What is the formula for the force of gravity acting on an object inside a planet?

Explain how gravitational potential energy is derived from the force of gravity.

What is the significance of the constant C in the gravitational potential energy equation?