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