Weightlessness in Satellites and Free Space

Physics · Gravitation · NEET

An astronaut in a satellite feels weightless because the astronaut and the satellite fall towards Earth together with the same acceleration g, so there is no normal (support) force between them. Gravity is NOT zero there; the "apparent weight" is zero. Memory hook: "Weightless = falling together, not gravity gone." In true free space (far from all bodies) g itself is nearly zero, so weight is zero for a different reason.
Weightlessness: same reason, two situationsIn a satellite (g NOT zero)youg (free fall)both fall togetherNormal force N = 0In deep free space (g = 0)astronaut 1astronaut 2tiny mutual pull F = Gm1m2/r^2no external gravity, butthey drift towards each other
Left: in a satellite gravity g is still strong, but you and the satellite fall together so the support force N = 0 and you feel weightless. Right: in deep free space external g is nearly zero, yet two astronauts still weakly attract each other and slowly drift together (NEET 2017).

Your doubts, answered

Is gravity really zero inside a satellite?

No. At the height of a low satellite (about 400 km) g is still around 8.7 m/s2, close to the surface value 9.8 m/s2. Gravity is very much present. The astronaut feels weightless only because there is no support force pushing back on them, not because gravity vanished.

Then why does an astronaut float and feel weightless?

Weight that you 'feel' is really the normal force from the floor pushing up on you. In orbit, both the astronaut and the satellite are accelerating downward at the same rate g (they are in free fall). So the floor does not press on the astronaut and the astronaut does not press on the floor. Normal force N = 0, so apparent weight = 0. The astronaut floats.

How is weightlessness in a satellite different from weightlessness in deep free space?

Two different reasons. In a satellite, g is NOT zero but both bodies fall together so apparent weight is zero. In deep free space far from Earth, Sun and all stars, the actual gravitational field g is nearly zero, so real weight (mg) is itself zero. Same feeling of floating, but one is 'free fall with real gravity' and the other is 'no gravity'.

Can you feel weightless on Earth without going to space?

Yes, for a short time. In a freely falling lift (if the cable breaks), or at the top of a jump, or in a diving free fall, you and the surroundings fall with the same g, so N = 0 and you feel weightless. This is exactly the same free-fall mechanism as in a satellite.

Does the astronaut's mass change in orbit?

No. Mass is the amount of matter and stays the same everywhere. Only the apparent WEIGHT (the support force you feel) becomes zero. Mass never becomes zero in a satellite or in free space.

⚠️ The NEET trap
Astronauts float because there is no gravity in space (g = 0 in a satellite).
g is still large at satellite height; the astronaut is weightless because they are in free fall together with the satellite, so the normal force is zero.
🧠 NTA loves the phrase 'not because gravity is small.' In a SATELLITE weightlessness = free fall (g present). Only in DEEP FREE SPACE is g itself zero. Match the reason to the location.

Real NEET questions

NEET 2017

Two astronauts are floating in gravitational free space after losing contact with their spaceship. The two will:

A · keep floating at the same distance apart
B · move towards each other
C · move away from each other
D · become stationary
Solution: Step 1: 'Gravitational free space' here means far from any large body, so the field from planets/stars is negligible and both astronauts are weightless. Step 2: But the two astronauts are themselves masses, so they still attract each other by Newton's law of gravitation, F = G m1 m2 / r^2. Step 3: With no other force acting, this mutual attraction is the only force, so each accelerates towards the other. Step 4: Therefore they slowly move towards each other. Answer: B.

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Frequently asked

What is the meaning of weightlessness?

Weightlessness is the state where the apparent weight (the support or normal force you feel) is zero. It happens when a body is in free fall, so nothing pushes back against it, even though real gravity may still be acting.

Is a satellite in free fall?

Yes. A satellite is continuously falling towards Earth, but its large sideways (tangential) speed makes it keep missing the Earth and curve around it. This continuous free fall is exactly why everything inside feels weightless.

At what point in a satellite is the astronaut NOT weightless?

If the satellite fires its engines or rotates to create artificial gravity, there is an extra force and the astronaut is no longer in pure free fall, so they feel weight again. In steady orbit with engines off, they are weightless.

Why is total gravity not zero but weight is zero in orbit?

Gravity provides exactly the centripetal force needed to keep the satellite in its circular path. It is all 'used up' bending the path, leaving no force to press the astronaut against the floor, so apparent weight is zero while gravity is fully present.

Do all objects in the satellite fall at the same rate?

Yes. Free-fall acceleration g is the same for all masses at that location, so the astronaut, the satellite and a floating pen all accelerate together at the same g. That is why they stay floating relative to each other.