problem 1: Jupiter is 7.78 x 10¹¹ m from the sun and has a mass of 1.90 x 10²⁷ kg. Determine the force of gravity due to the sun acting on Jupiter?

problem 2: Uranus needs 84 years to circle the sun and has a mass of 8.80 x 10²⁵. Determine Uranus orbital radius.

problem 3: Venus consists of a period of revolution of 225 earth days and the distance between the sun and Venus is 1.08 x 10¹¹ m. Determine the orbital Speed of Venus?

problem 4: An apparatus such as the one Cavendish used to find out G has a large lead ball that is 5.9 kg in mass and a small one that is 0.047 kg. Their centers are separated through 0.055 m. Find out the force of attraction between them.

problem 5: The gravitational force between the two electrons 1.00 m apart is 5.54 x 10^-71 N.  Find out the mass of an electron.

problem 6: Mimas, a moon of Saturn, consists of an orbital radius of 1.87 x 10⁸ m and an orbital period of around 23 hrs. Find out the mass of Saturn.

problem 7: On July 19 1969, Apollo II’s orbit around the moon was adjusted to 111 km. The radius of the moon is 1785 km and the mass of the moon is 7.3 x 10²² kg.

a) How many minutes did it take the orbit to moon?
b) At what velocity did it travel?