Gravity & Orbits
Natural Sciences · Intermediate · Lesson 5 of 7

Escape Velocity

Leaving for good

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

  • Escape speed vesc=2GM/R=2×v_\text{esc} = \sqrt{2GM/R} = \sqrt2 \times the circular orbit speed.
  • About 11.2 km/s from Earth and 2.4 km/s from the Moon.
  • When the escape speed exceeds the speed of light, you have a black hole.

Steps

  1. Throw it hard enough
  2. Break free
  3. The escape speed formula
  4. Compare
  5. The Moon’s missing air
  6. Black holes