Help me answer these 11 questions from AP Physics 1: Periodicity (Gravitation). Please give explanations and formulas used.

1. What would be the weight of a 78-kg astronaut on a planet 10 times as massive as Earth and having 4 times the Earth's radius

2. The mass of Jupiter is 1.9 10²⁷kg and its radius, R, is 7.15 10⁷ m. What is the value of g at a height of 4.0R above the surface of Jupiter?

3. The period of a moon orbiting Saturn is 110 days. What would the new period in days be if the moon became 2 times more massive and the orbital radius of the moon became 3 times the original value.

4. GPS (Global Positioning System) satellites orbit at an altitude of 4.51x10⁷ m above Earth. Find the orbital speed of such a satellite. The mass of the Earth is 5.98x10²⁴ kg, and the radius of the Earth is approximately 6.38x10⁶ m.

5. Two different satellites, satellite A with a mass of 4m and satellite B with a mass of 7m, orbit around a massive planet which has mass M. The orbital radius of satellite A is (1/2)R and the orbital radius of satellite B is 2R. What is the ratio of the gravitational acceleration, a_A/a_B

6. Two different satellites, satellite A with a mass of 4m and satellite B with a mass of 7m, orbit around a massive planet which has mass M. The orbital radius of satellite A is 3R and the orbital radius of satellite B is 4R. What is the ratio of the orbital speed, v_A/v_B

7. Two different satellites, satellite A with a mass of 4m and satellite B with a mass of 5m, orbit around a massive planet which has mass M. The orbital radius of satellite A is (1/3)R and the orbital radius of satellite B is 2R. What is the ratio of the gravitational force, F_A/F_B

8. A 57 kg space probe orbits a newly discovered planet. Its orbital radius is 4.80x10 ⁶m. Its orbital period is 112 min. What is the orbit speed of the probe?

9. A 52 kg space probe orbits a newly discovered planet. Its orbital radius is (1.44x10^7)m. Its orbital speed is (2.4x10^4)m/s. What is the mass of the planet?

10. A 52 kg space probe orbits a newly discovered planet. Its orbital radius is 5.71x10 ⁶m. Its orbital period is 120 min. The space probe contains two devices- a mass attached to a spring with a spring constant of 97 N/m, and a mass attached to a pendulum. On Earth each of these devices has a period of 1.1s. What is the period of the mass attached to the spring while aboard the orbiting space probe?

11. A 48 kg space probe orbits a newly discovered planet. Its orbital radius is 5.46x10 ⁶m and the mass of the planet is 2.23x10²⁴ kg. The space probe contains two devices- a mass attached to a spring with a spring constant of 168 N/m, and a mass attached to a pendulum. On Earth each of these devices has a period of 1 s. What is the period of the mass attached to the pendulum while aboard the orbiting space probe?