Gravity & Orbits
Natural Sciences · Intermediate · Lesson 7 of 7

Weighing Worlds

From a lab balance to Jupiter

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • Cavendish’s torsion balance measured G in 1798.
  • Surface gravity gives a planet's mass: M=gR2/GM = gR^2/G; Earth's density shows a dense core.
  • Any orbit reveals the central mass: M=4π2r3/(GT2)M = 4\pi^2 r^3 / (GT^2).

Steps

  1. Measuring G
  2. A tiny force
  3. Weighing the Earth
  4. Earth’s density
  5. Weighing Jupiter
  6. Weighing the Sun