1. Imagine if the mass of the Earth suddenly changed to twice its current amount. What effects might this have on satellites, people, and buildings? (8 marks)

2. A cylindrical space station is built with a radius of 7.65 km, and rotates to provide artificial gravity of g = 9.00 m/s?. What is the period of the station's rotation, and how fast is the outer surface of the station moving? (8 marks)

3. At one point in their orbits, Earth and Mars are separated by a distance of 8.14 107 km. If the mass of the Earth is 5.97 1024 kg and the mass of Mars is 6.42 1023 kg, what is the magnitude of gravitational force between them and the resulting acceleration of the Earth?