Show full written solutions for all questions. Be sure to include formulas, units, directions, and diagrams when required. Solutions may be neatly hand-written and turned into a PDF document. See "Instructions for Submitting Assignments" in the Course Overview. Submit your work as a PDF file on the Assignment page. Use the values from the following table for questions in this assignment. The orbital radius of the moon is the average distance from the center of the Earth to the center of the moon. + Mass Equatorial Radius Orbital Radius Earth 5.97 x 1024 kg 6.38 x 106 m Moon 7.35 x 10 kg 1.74 x 106 m 3.84 x 108 m 4. A 480 kg satellite experiences a gravitational force of 3.0 103 N while moving in a circular orbit around the Earth. (6 marks) a) Find the radius of the orbit. b) Find the speed of the satellite. c) Find the period of the orbit. 5. To simulate gravity, a circular space station with a radius of 150 m rotates so that an astronaut standing on the inner surface moves at 32 m/s. When on Earth, a bathroom scale (calibrated on Earth) shows that the astronaut's mass is 75 kg. What mass will the scale read if used on the space station? (4 marks)