1^st Method : The normal force exerted by the astronaut on the orbiting space station is zero. Therefore, the apparent weight of astronaut in the orbiting space station is zero. Astronaut is called in a state of weightlessness. Why because astronaut as well as space ship are free falling bodies. Statement - I is true, Statement - 2 is true and Statement - 2 is the correct explanation of Statement - 1.

2^nd method : For the body to follow circular path, there must be a centripetal force. Here the astronaut is inside the satellites which is revolving around the earth under the influence of the earth's gravitation. Thus, the earth's gravitation acts as a centripetal force and the net force on the astronaut is zero.

Statement - 2 is right explanation of 1.