Questions:

1) Calculate the gravitational potential energy of Jupiter as it orbits the Sun given the following information:

Mass of Jupiter = 1.90 × 10²⁷ kg

Mass of the Sun = 1.99 × 10³⁰ kg

Jupiter–Sun distance = 7.78 × 10¹¹ m

2) Determine the escape velocity of the Moon, given that its mass is 7.35 × 10²² kg and its radius is 1737 km:

3) The escape velocity of Venus is 10360 m/s. Determine its radius if it has a mass of 4.87 × 10²⁴ kg:

4) How would the value of the escape velocity change if the mass of the Earth was 3 times its actual mass. Justify your response algebraically.