All the chapter’s exercises, worked step by step, in order of appearance in the book: first the guided exercises and problems scattered through the text, then the end-of-chapter problems (numerical, conceptual, true/false, ranking, graphs, Fermi estimates).
Exercises and problems in the text
- Spacelike or timelike (four events)
- Mr Rossi goes to the theatre
- The rabbit race
- Relativistic western duel
- Four events and the reversed inequality
- The traveller going to the cinema
- A relativistic timer
- Caterina towards Alpha Centauri
- Western duel: explicit calculation
- Tunnel at 0.8 c
- A red traffic light seen as green
- Composition via Doppler
- Condor versus rocket
- Particle or photon?
- The Higgs boson at 0.8 c
- Gravitational redshift on Everest
- Quantitative GPS
End-of-chapter problems
- Lorentz factor of the muon
- Simultaneity (true or false)
- Lorentz factor at 0.6 c
- Why no mass reaches c
- Contraction of a rod
- Composition of velocities (electron)
- Energy of a fission bomb
- The frame of minimum time
- Proof of the energy-momentum invariant
- Estimate of the GPS relativistic correction
- Redshift of a galaxy
- Ranking of Lorentz factors (four spaceships)
- The barn and the pole
- Minkowski diagram of a rocket
- Contraction of a spaceship
- Which twin diagram
- Spacecraft and the beeps
- Ruler moving at 0.6 c
- Rest energy of the electron
- Velocity for gamma equal to 2
- Astronaut towards Proxima Centauri
- Ranking of Lorentz factors (three particles)
- Relativistic true or false
- Kinematic delay of GPS clocks
- The cosmic-ray muon
- Galileo versus Einstein
- No signals faster than light
- Ranking of Lorentz factors (0,1c–0,99c)
- Ranking of rest energies
- From the gamma factor to the velocity (proton)
- From the Doppler ratio to the velocity
- Science fiction physics: c multiplied by ten
- The pion in flight
- Simultaneity of the lamps on the train
- Fermi estimate: one gram of matter
- Reading the gamma(v) graph
- Challenge: the twin paradox
- Invariant mass of two photons