Calculadora de Velocidad de Escape — Fórmula

Escape Velocity

Escape velocity is the minimum speed an object must have to permanently leave a gravitational field without further propulsion.

Derivation from Energy Conservation

Setting kinetic energy equal to gravitational potential energy:

(1/2)mv² = GMm/r

Solving for v: v = sqrt(2GM/r)

Note that escape velocity is independent of the escaping object's mass.

Ejemplo Resuelto

Escape velocity from Earth's surface.

  1. v = sqrt(2 * G * M / r)
  2. v = sqrt(2 * 6.6743e-11 * 5.972e24 / 6.371e6)
  3. v = sqrt(1.251e8)
  4. v ≈ 11,186 m/s ≈ 40,270 km/h