DP Physics (last assessment 2024)

Question 18N.3.SL.TZ0.b.ii

Date	November 2018	Marks available	[Maximum mark: 3]	Reference code	18N.3.SL.TZ0.b.ii
Level	SL	Paper	3	Time zone	TZ0
Command term	Determine	Question number	b.ii	Adapted from	N/A

b.ii.

[Maximum mark: 3]

18N.3.SL.TZ0.b.ii

A rocket of proper length 120 m moves to the right with speed 0.82c relative to the ground.

A probe is released from the back of the rocket at speed 0.40c relative to the rocket.

Determine the time it takes the probe to reach the front of the rocket according to an observer at rest on the ground.

[3]

Markscheme

$\gamma =$ « $\frac{1}{{\sqrt {1 - {{0.82}^2}} }} =$ » 1.747 ✔

Δt = « $\gamma \left( {\Delta t' + \frac{{v\Delta x'}}{{{c^2}}}} \right)$ » = $1.747 \times \left( {1.0 \times {{10}^{ - 6}} + \frac{{0.82c \times 120}}{{{c^2}}}} \right)$

Δt = $\frac{{120}}{{1.747 \times \left( {0.92 - 0.82} \right)c}}$ ✔

2.3 × 10⁻⁶ «s» ✔

Syllabus sections

Option A: Relativity

Option A: Relativity » Option A: Relativity (Core topics) » A.2 – Lorentz transformations

Option A: Relativity » Option A: Relativity (Core topics)

Question 18N.3.SL.TZ0.b.ii

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