Practice Problems

1. Calculate the gravitational force between two 1000 kg masses separated by 10 m.
2. A satellite orbits Earth at 300 km. Find its orbital speed and period.
3. Determine escape velocity from Earth and compare with Moon’s escape velocity.
4. Compute gravitational potential energy of a 500 kg satellite at 500 km above Earth.
5. A satellite has a period of 24 h. Find its orbital radius and speed (geostationary orbit).
6. Calculate centripetal acceleration of a satellite at 1000 km above Earth.
7. A rocket must reach Mars escape velocity. Determine the required speed from Mars surface.
8. Compare gravitational force on a satellite in LEO vs MEO.
9. A satellite of mass 400 kg moves in a circular orbit of radius 7000 km. Determine the centripetal force.
10. Verify reasonableness: Does a satellite of period 1 h orbit above or below LEO?