Questions:

1) Calculate the orbital velocity of the Earth around the Sun given the following information:

Mass of the Earth = 6.0 × 10²⁴ kg

Mass of the Sun = 1.99 × 10³⁰ kg

Average Sun – Earth distance = 1.5 × 10¹¹ m

2) A 200kg satellite orbits Mars at an altitude of 350km. Use the following information to calculate:

Mass of the Mars, M_M = 6.42 × 10²³ kg

Radius of the Mars, r_M = 3390 km

a) the orbital velocity of the satellite:

b) the period of the satellite:

c) what happens to the orbital velocity and the period if the mass of the satellite is doubled?

3) An Earth satellite has an orbital velocity of 10000 km/hr. Calculate the altitude of this satellite given:

Mass of the Earth, M_E = 6.0 × 10²⁴ kg

Radius of the Earth, r_E = 6.371 × 10⁶ m