1. What would happen to your weight on earth if the radius of the earth doubled, but its mass stayed the same?
2. What would happen to your weight on earth if the mass of the earth doubled, but its radius stayed the same?
3. Explain how a satellite in orbit is in a constant state of free fall yet does not crash to the earth.
4. According to Isaac Newton, how is the motion of a falling apple different from the motion of the moon orbiting the earth?
5. Most planets actually have slightly elliptical orbits around the sun. What is the force exerted on a planet at its perigee (the point closest to the sun) compared to the force at its apogee (the point farthest from the sun)?
6. Does the mass of a satellite influence the time it takes to orbit the earth?