Answer: W = 0 kg
Explanation: In this situation, the only forces acting on the astronaut are the gravitational forces of both stars.
The gravitational force is described by the equation F = G*(Ms*Ma)/r^2
where G is a constant, Ms and Ma are the masses of the star and astronaut, and r is the distance between them.
Because both stars have the same masss and are at the same distance from the astronaut, the gravitational forces that both stars are applying in the astronaut are equal in magnitude. But because both stars are in opposite sides with respect to the astronaut, the forces cancel each other.
So the gravitational acceleration of the astronaut is 0 m/s^2, and as we know the weight of an object is equal to the product between the mass of the object and the gravitational acceleration applied in the object, so the weight of the astronaut is W = Ma*0 = 0 kg
