Please show work
1. Explain what is universal about the law of universal gravitation.
2. As far as Newton was concerned, what did a falling apple have in common with the moon?
4. State and explain the implications of each of Kepler's three laws of planetary motion.
5. Many people mistakenly believe that astronauts that orbit the Earth are "above gravity." Calculate the acceleration due to gravity (g) for space shuttle territory, 200 kilometers above the Earth's surface. Earth's mass is 6x1024 kilograms and its radius is 6.38 x 106 meters (6380 kilometers). Your answer is what percentage of 9.8m/s2?
6. Why does the force of gravity change the speed of a satellite in an elliptical orbit?
7. What are the restrictions on the orbit of a communications satellite if it is to appear motionless in the sky as viewed from any location on earth?
8. A projectile is launched upward at an angle. What should this angle be with respect to the horizontal in order for the projectile to travel the farthest distance? Explain why.
Step by step solutions to all the problems is provided.