Physics module 27 · Put your knowledge to work
Galilean & Special Relativity Applications
Practise gamma, dilation, velocity-addition, and energy problems.
6 problem sets · Learn at your pace · Some resources require membership
From understanding to problem solving.Your next step
Choose a problem set
Start with a familiar topic, then work towards more demanding problems.
6 of 6 sets
- 01Problem studio
Frames and Galilean Relativity Problems
Velocity addition across boats, trains, and rain, river crossings, and invariant acceleration.
Open practice - 02Problem studio
The Postulates of Special Relativity Problems
Einstein’s two postulates, the Michelson–Morley null result, and γ = 1/√(1 − v²/c²) at every speed.
Open practice - 03Problem studio
Time Dilation and Length Contraction Problems
Δt = γΔτ, L = L₀/γ, muon lifetimes at 0.98c, and the microseconds GPS clocks lose each day.
Open practice - 04Problem studio
Lorentz Transformations and Velocity Addition Problems
x′ = γ(x − vt), t′ = γ(t − vx/c²), and u′ = (u + v)/(1 + uv/c²) holding every speed below c.
Open practice - 05Problem studio
Spacetime Diagrams and the Twin Paradox Problems
Worldlines, simultaneity, the invariant interval s² = (ct)² − x², and round-trip age gaps.
Open practice - 06Problem studio
Relativity Calculus Problems
p = γmv, E = γmc², K = (γ − 1)mc², and the binomial road back to Newton.
Open practice
Review the foundations 6 related lessons
Extra challenging questions
Take the ideas further with course-specific extension questions, supplied-data graphs and worked solutions.