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