several astronauts, with masses ranging from 60 kg to 120 kq. ventu outside the Space Station to carry out some repairs. The station is orbiting the Earth at a height of 400 km above the surface. Which of the statements below is most correct regarding this situation? If you need the universal gravitational constant, use G = 6.67x101 mokg1s2. If you need the radius of the Earth, use R = 6.37x10 m. O The astronauts have an acceleration that is essentially zero, and therefore they continue in orbit without falling to the Earth. O The astronauts have all the same acceleration, which is equal and opposite to the Earth's acceleration. O The magnitude of the astronauts's acceleration is independent of the mass of the Earth. O The astronauts have an acceleration proportional to their mass, but this acceleration is in all cases considerably less than g = 9.8 m/s2. O All astronauts have about the same acceleration, which is not too different from g = 9.8 m/s2.gl = GM ( R th ) 2 R t h ) 2 p 2 = (R + h ) 2 GM R 2 9' = R R+ t- there, a is independent upon mass. the magnitude of the actornant's arreducation is independent of the mass of faith.Q li The magnitude of the astronauts' acceleration is independent of the mass of the Earth. However. the weight of an astronaut on Earth depends on the mass of the Earth and the distance between the astronaut and the center of the Earth. The weight of an object is given by W = mg where Wis weight, m is mass and g is acceleration due to gravity. The acceleration due to gravity on Earth is approximately 9.81 mfs'? downwards 1 . I hope that helps! The astronauts on board the International Space Station are accelerating towards the center of the Earth at 8.7 m/s2 . At their elevation, the acceleration due to Earth's gravity is smaller than it is at Earth's surface: 8.7 m/s2 instead of 9.8 m/s?, a reduction of only about 12% 2 . Therefore, statement 5 is the most correct regarding this situation. I hope that helps! Let me know if you have any other questions