Explain the reason of weightlessness inside a satellite.

Explanation

The feeling of weight arises from the arises from the reaction of the ground on a man. In an orbiting satellite, the astronaut and the floor of the satellite both have the same acceleration (the centripetal acceleration towards the earth). Hence, the floor of the satellite offers no reaction to the astronaut and he feels weightless.
For circular motion of man,
`(GMxxm)/(r^(2)-N=(mv^(2))/r`
For circuular motion of satellite `+` man (mass `m`)
`(Gmm)/(r^(2))=(mv^(2))/rimplies(GM)/(r^(2))=(v^(2))/r`
`implies :.(mv^(2))/r-N=(mv^(2))/rimpliesN=0`