A man inside an artificial satellite feels weightlessness, because the force of attraction due to earth is
An artificial satellite has radially onward acceleration i.e centripetal acceleration (V2 /r).Since the satellite is a non-inertial frame , a pseudo force (mV2 / r) , radially outward centrifugal force must be acting on the man.
At the same time the man is pulled towards the centre of earth by gravitational force of attraction.The pseudo force balances the gravitational force of attraction and the man feels weightlessness.