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