Skip to content

9702 · 13.4

Gravitational potential

Welcome to the fascinating world of **gravitational potential**! This concept is crucial for understanding how energy behaves within gravitational fields. We'll explore what it means for a point in space to have a 'potential' and how this relates to the **work done** when moving masses. Prepare to think about energy in a whole new, often negative, way! This pilot aligns with **Senpai Corner** A Level notes (2025–2027) for topic **13.4**.

Need to know

What you need to know

  • G is the Universal Gravitational Constant (6.67 x 10^-11 N m^2 kg^-2).
  • M is the mass of the body creating the gravitational field (e.g., a planet).
  • r is the distance from the centre of the mass M to the point in question.
  • The negative sign is crucial: it signifies that the potential is defined as zero at infinity, and energy is released as a mass is brought closer.
  • For a uniform spherical body, M can be treated as a point mass at its centre for any point outside the sphere.

Explanation

Gravitational potential

  1. G is the Universal Gravitational Constant (6.67 x 10^-11 N m^2 kg^-2).
  2. M is the mass of the body creating the gravitational field (e.g., a planet).
  3. r is the distance from the centre of the mass M to the point in question.
  4. The negative sign is crucial: it signifies that the potential is defined as zero at infinity, and energy is released as a mass is brought closer.