Episode 400: Preparation for gravitational fields topic
Students will have been aware of the effects of gravity since they first fell down, so it is probably the force they feel most familiar with. In this topic, they will extend their terrestrial experience to develop a much broader picture of the force of gravity, and its representation in the form of a gravitational field.

Students are often initially surprised by the fact that they pull up on the Earth with exactly the same force that the Earth pulls down on them. This topic will develop the idea that Newton’s Law of Universal Gravitation is precisely that: universal. Every single object with a mass in the universe gravitationally attracts every other object with mass.

Main aims
Students will:

• Understand the concept of a field and its depiction with field lines
• Understand and use Newton’s law of universal gravitation
• Understand what is meant by an inverse square law
• Understand and use the term field strength
• Understand and use the terms potential energy and potential and know that the zero of potential is defined to be at infinity
• Understand that the gradient of potential is related to field strength
• Understand the motion of objects in gravitational fields (circular orbits only, including geosynchronous orbits)

Prior knowledge
Students will have a vague notion of the concept of a field, and is representation by lines of force, from studies of magnetism. When developing the idea of a gravitational field, you can refer back to these earlier ideas.

In earlier studies, your students should have covered the following concepts:

mass; weight W = mg; g defined as field strength in N kg-1 or as gravitational acceleration in m s-2; all bodies in free-fall (no resistive forces) accelerate at the same rate; work; kinetic energy; gravitational potential energy close to the Earth’s surface = mgh; conservation of energy; Newton’s laws of motion.

In their advanced studies, they should also have covered circular motion and centripetal force.