Escape Velocity Calculator
v_e = √(2GM/r). Speed needed to escape gravitational pull of body.
Result
Escape velocity
11.186 km/s
11,186 m/s (25,023 mph).
- Bodyearth
- Mass M5.972e+24 kg
- Radius r6371000 m
- G0.000000000066743 N·m²/kg²
- v_e11,185.98 m/s
- v_e (km/s)11.1860
- v_e (mph)25,023
Step-by-step
- v_e = √(2GM/r) = √(2 × 6.6743e-11 × 5.972e+24 / 6371000).
- v_e = 11,185.98 m/s = 11.186 km/s.
How to use this calculator
- Pick a body (or Custom + M, r).
- Read v_e in km/s and mph.
About this calculator
Escape velocity is the minimum speed needed to break free from a body's gravity (with no further propulsion). Derived from energy conservation: ½mv² = GMm/r. Earth: 11.2 km/s. Moon: 2.4 km/s. Sun (from surface): 617 km/s. Jupiter: 59.5 km/s. Black hole event horizon: c (speed of light, by definition). Note v_e is independent of escaping object's mass — same speed for atom or rocket.
Frequently asked
Yes — gravity force scales with mass; required KE also scales with mass. Cancels out.
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