Why do astronauts in an orbiting satellite have a feeling of weightlessness?


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1. For an astronaut, in a satellite, the net force towards the centre of the Earth will always be, F = mg – N. where, N is the normal reaction. 

2. In the case of a revolving satellite, the satellite is performing a circular motion. The acceleration for this motion is centripetal, which is provided by the gravitational acceleration g at the location of the satellite. 

3. In this case, the downward acceleration, ad = g, or the satellite (along with the astronaut) is in the state of free fall.

4. Thus, the net force acting on astronaut will be, F = mg – mad i.e., the apparent weight will be zero, giving the feeling of total weightlessness.

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