Uranus has moved 4.0 degrees across the sky in one year. Neptunehas moved 2.1 degrees across the sky in one year.

1. How many degrees should a planet move across the sky whencompleting one revolution around the Sun? (Hint: It orbits in anellipse, roughly the shape of a circle)

2. Calculate the orbital period of Uranus (in years), based onit moving 4.0 degrees in one year.

3. Calculate the orbital period of Neptune (in years), based onit moving 2.1 degrees in one year.

4. What is the theoretical (textbook) value for the orbitalperiod of Uranus (in years)?

5. What is the theoretical (textbook) value for the orbitalperiod of Neptune (in years)?

6. Compare your answers from questions 1 and 4. Calculate thepercent error for the orbital period of Uranus.

7. Compare your answers from questions 2 and 5. Calculate thepercent error for the orbital period of Neptune.

8. Using your results from question 2, use Kepler's third law,P²=a³, to calculate the average distanceUranus orbits the sun (in AU).

9. Using your results from question 2, use Kepler's third law,P²=a³, to calculate the average distanceNeptune orbits the sun (in AU).

10. A planet called \"Z\" has been discovered 52.0 AU from theSun. Using Kepler's 3rd Law, calculate the orbital period of theplanet (in years).

11. Planet X moves 5 arc minutes in one year. What is theorbital period of Planet X (in years)? Remember that there are 60arc minutes in one degree.

12. Find the gravitational force between Earth and the moon. TheMoon's average distance from the Earth is 3.84 x 10⁸meters. The Moon's mass is 7.34 x 10²² kg and theEarth's mass is 5.97 x 10²⁴. Use Newton's universal lawof gravitation to solve for the force. The answer you get is goingto be a large force in newtons. Enter ONLY the exponent of youranswer below.