Why is normal force in a satellite zero?

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Discussion Overview

The discussion centers on the concept of normal force in the context of a satellite and an object (such as an astronaut) inside it. Participants explore the implications of gravitational forces and free fall, examining different theoretical frameworks, including Newtonian gravity and general relativity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant asserts that gravity acts on a satellite, questioning why the normal force is zero for an object inside it.
  • Another participant argues that the normal force is not zero, explaining that both the object and the satellite are in free fall, making the object appear weightless in the satellite's frame of reference.
  • A third participant clarifies that the "normal force" refers to the force exerted by the floor of the spaceship on the astronaut, which is indeed zero due to both being in free fall. They note that this can be explained through different theories of gravity, particularly emphasizing Newtonian gravity.
  • This participant further explains that in Newtonian gravity, the normal force is zero because the astronaut and the spaceship are both falling together, similar to an elevator scenario when the cable breaks.
  • Another participant mentions that the centrifugal force is balanced by gravity, contributing to the understanding of forces in orbit.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the normal force in a satellite. While some agree that the normal force is zero due to free fall, others emphasize the role of gravitational forces and the frame of reference, indicating that multiple competing views remain unresolved.

Contextual Notes

Participants reference different theories of gravity, which may lead to varying interpretations of the normal force. The discussion does not resolve the implications of these theories on the understanding of forces in a satellite.

Yatin
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Gravity does act on a satellite so why is normal force 0 for an object placed inside it?
 
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The force is not zero. Both the object and the satellite are in free fall, so the object appears weightless in the frame of reference of the satellite.
 
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I think by "the normal force" it is meant the force of the floor of the spaceship on the astronaut, which would indeed be zero. Interestingly, there are two very different ways of explaining that, based on which theory of gravity is used, but it's clear you mean Newtonian gravity, rather than general relativity. In Newtonian gravity, we can say that the normal force is zero because the astronaut and the spaceship are both in free-fall, just like how the normal force goes to zero in an elevator when the cable breaks. After all, the normal force acts to produce just the force needed to keep the astronaut from falling through the floor, but no force is needed when the floor is falling already, as in an orbit. Another way to see that is to imagine removing the spaceship altogether, and the astronaut will still be in orbit and still follow the same motion. So clearly there is no place or need for any normal force.
 
its in free fall as already noted, centrifugal force is balanced by gravity
 

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