Universal gravitation

The key idea

Masses attract one another. Newton’s law gives an inverse-square force, while the gravitational-field viewpoint describes how a mass changes the space around it for other masses.

Why it matters

The same framework connects falling objects, planetary motion and satellites.

A picture to remember

Key idea

Universal gravitation

Key idea

Universal gravitation

F = G m₁m₂/r²

Masses attract one another. Newton’s law gives an inverse-square force, while the gravitational-field viewpoint describes how a mass changes the space around it for other masses.

Guided example

Universal gravitation

Masses attract one another. Newton’s law gives an inverse-square force, while the gravitational-field viewpoint describes how a mass changes the space around it for other masses.

Put it into practice

Universal gravitation

Choose a concrete case linked to Universal gravitation. Write down the known information, what you are trying to find, and the units. Then state the rule, model or trend you will use. If a calculation is involved, keep the units visible at every line; if it is conceptual, state what changes and what remains fixed.

Check your answer

A strong answer contains four things: the starting situation, the variable that changes, the direction or numerical result, and one check. The check can be a unit, an order of magnitude, a limiting case or a comparison with a familiar example.