MEX-021 · Relativity and rotational motion Sample material

Elements of special relativity

Galileo's principle of relativity, Einstein's postulates, the Lorentz transformations, the relativity of time and length, the relativistic velocity-addition law and the relation between mass and energy.

Estimated time: 2 h 50 min 5 activities

Learning objective

Understand the Galilean transformations and the limits of classical mechanics.
Know Einstein's two postulates and their consequences.
Calculate time dilation and length contraction from the Lorentz transformations.
Learn to apply the formulas for relativistic momentum, total and kinetic energy.

Expected outcomes

Calculates the Lorentz factor $\gamma$ and uses it to transform times and lengths to another frame.
Applies the relativistic velocity-addition formula and shows that the result never exceeds $c$.
Finds the rest, total and kinetic energy of a particle in MeV.

Interactive modelLight clock: time dilation

Activities

Lecture
Lecture · 1 h 15 min · required
Problem solving: elements of the theory of relativity
Practice · 1 h 15 min · required
The special theory of relativity
Self-study · 6 h 15 min · optional
Einstein's postulates
Self-study · 6 h 15 min · optional
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Problem solving: elements of the theory of relativity
  • Final test — at least 70%