Why is normal force in a satellite zero?

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In a satellite, the normal force is zero because both the satellite and any object inside it, such as an astronaut, are in free fall, creating a weightless environment. This condition is similar to an elevator in free fall, where the normal force also becomes zero. The astronaut does not need a normal force to prevent falling through the floor since both are falling at the same rate. The concept can be understood through Newtonian gravity, where the normal force is only necessary to counteract gravity when an object is not in free fall. Thus, in orbit, there is no requirement for a normal force, as the gravitational pull and centrifugal force are balanced.
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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