Download PHY111 Seat Activity: Johannes Kepler`s Third Law of

PHY111 Seat Activity: Johannes Kepler's Third Law of Planetary Motion
1. Write out and briefly explain in your own words the equations for
centripetal force and Newton's Law of Universal Gravitation. Include a
sketch for each explanation. Set them equal to one another, and solve for
orbital velocity of an object in circular orbit.
2. Use circular geometry to determine v for Uniform Circular Motion and set
this v2 equal to that from part 1.
Jupiter's four largest moons were discovered by Galileo in 1610. The
innermost Moon called Io is about half the size of the Earth. Io orbits an
average distance of 422,000 km from the center of Jupiter and has an orbital
period of 1.769 days.
3. The Keplerian Ratio is defined as K = r3 / T2 for any satellite orbiting a
planet or moon. It depends only on the mass M of that planet. Calculate the
Keplerian Ratio KJupiter for any satellite of Jupiter.
4. Use the above information to find an equation for the mass of Jupiter.
Solve it. Your answer should be about 1027kg
5. (Extra credit) What is the orbital radius of a Satellite in geosynchronous
earth orbit? The Earth's mass is 5.98 x 1024 kg. Geosynch satellites remain
apparently 'suspended' over the equator when viewed from the Earth's
surface.