IB Physics HL A 5 7 Hl Relativistic Velocity Addition Questions

Practise IB Physics HL A.5.7 by applying signed relativistic velocity addition between named frames and checking the physical meaning of the transformed velocity.

Exam points

Apply relativistic velocity addition to combine velocities below and near the speed of light.
Calculate transformed velocities using signed relative speeds and complete mark-scheme evidence.

[Maximum number: 2]

An observer P sitting in a train moving at a speed v measures that his journey takes a time $\Delta t_{\mathrm{p}}$ . An observer Q at rest with respect to the ground measures that the journey takes a time $\Delta t_{\mathrm{Q}}$ .

A second train is moving at a velocity of -0.70 c with respect to the ground.

Figure for Question IB Physics HL A 5 7 Hl Relativistic Velocity Addition Questions question 1 — IB Physics HL

Calculate the speed of the second train relative to observer P .

$u^{\prime}=\frac{-0.7-0.6}{1+0.7\times0.6}\,c=-0.92\,c$

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IB Physics HL A 5 7 Hl Relativistic Velocity Addition Questions question 1