Weightlessness in satellites
Universal gravitation · Physics
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A 70-kg astronaut stands on a weighing scale inside a satellite orbiting Earth. What does the scale read? What would it read on Earth's surface? Step 1: A scale measures the normal reaction N, not gravity itself. Step 2: In orbit, satellite and astronaut fall together with acceleration g toward Earth. Relative to the satellite, the astronaut has zero acceleration, so no floor pushes on him: N = 0. Step 3: On Earth's surface the floor pushes up with N = mg = 70 × 9.8 = 686 N. Answer: The scale reads 0 in orbit (complete weightlessness) versus 686 N on the ground. Gravity at 400 km is still ~8.7 m/s² — the zero reading is because everything falls together, not because gravity vanished.
Related topics
- Kepler's laws of planetary motion
- Newton's universal law of gravitation
- Gravitational constant and its measurement (Cavendish experiment)
- Acceleration due to gravity and its variation (altitude, depth, rotation of Earth)
- Gravitational field and field intensity
- Gravitational potential and potential energy