Q1: Write
out and breifly explain in your own words the equations for centripetal
force and Newton's Law of Universal Gravitation. Include a sketch
for each explanation.
Jupiter's four 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 or m?) from the center of Jupiter
and has an orbital period of 1.769 days.
Q2:The
Keplerian Ratio is defined as K = T^{2}/r^{3} for
any satillite orbiting a planet or moon. It depends only on the
mass (M) of that planet. Calculate the Keplerian Ratio K_{Jupiter}
for any satellite of Jupiter.
Q3:Use
the above information to find an equation for the mass of Jupiter.
Solve it.
Q4:What
is the Keplerian Ratio K_{Sun} for any object orbiting our
sun? (Hint: You can use T and r for Earth, as it orbits the sun.)
The Earth's average orbital radius about the sun is 150,000,000,000m.
