Questions:

1) A surveillance satellite orbiting the Earth at an altitude of 420km has a mass of 900kg. The radius of the Earth, r_E = 6.4 × 10⁶ m and the mass of the Earth, m_E = 6.0 × 10²⁴ kg. Calculate:

a) The total mechanical energy of the satellite:

b) The speed of the satellite:

2) A space shuttle was orbiting the Earth at an altitude of 500km. A satellite was sent from the shuttle to a final orbit at an altitude of 7500km. Calculate the change in gravitational potential energy if the satellite has a mass of 200kg. Mass of the Earth, m_E = 6.0 × 1024 kg.

3) A meteorite fell toward and struck the Earth from an altitude of 30,000km. Calculate the change in gravitational potential energy if the meteorite had a mass of 10kg. The radius of the Earth, r_E = 6.4 × 106 m and the mass of the Earth, m_E = 6.0 × 1024 kg.