All the exercises of the chapter, worked step by step, in order of appearance in the book: first the guided exercises and section problems, then the end-of-chapter problems (numerical, conceptual, true/false, ranking, graphical, estimation).
Exercises and problems in the text
- Comet at perihelion and aphelion
- Worked exercise — satellite, aphelion and perihelion
- Explosion of a probe
- Worked exercise — two asteroids falling onto each other
- Worked exercise — the mass of the Sun from Kepler
End-of-chapter problems
- Surface gravity on the Moon
- ISS astronaut and weightlessness
- Sun-Earth gravitational force
- Period of a planet at 2.4 AU
- Escape velocity from Earth (energy)
- Altitude of the geostationary orbit
- True or false on energy and orbits
- Velocity of a comet at perihelion
- Derivation of escape velocity
- Estimate of the mass of the Galaxy
- Ranking the periods of four satellites
- Why the Moon does not fall
- The hollow Moon
- Escaping the Solar System
- Force between two 100 kg spheres
- Gravity on the Moon and an astronaut’s weight
- Period of a satellite at 400 km
- ISS and weightlessness (free fall)
- Ranking the surface gravity of three planets
- True or false on gravitation
- Estimate of the radius of the geostationary orbit
- Apple and Earth
- Gravity at different altitudes (Everest)
- Circular orbit and centripetal force
- Weight and mass
- Ranking of gravitational forces
- Ranking of orbital velocities
- Earth-Moon gravitational force
- Surface gravity on the Moon (calculation)
- Radius of the geostationary orbit (calculation)
- Escape velocity from Earth (formula)
- Binding energy of a satellite
- Mass of an unknown planet
- Radius of a planet
- Thought experiment: G doubled
- r³
- Planet from Kepler
- Earth-Mars Hohmann transfer
- Tides
- Weightlessness on the ISS
- Elliptical orbit, perihelion and aphelion
- Behaviour of g inside and outside the Earth
- Estimate of the mass of the Sun
- Fall to the centre of the Earth
- Sun, Earth and a car
- Planet between two equal stars