1st Edition

ISBN: 9781938168000

Author: Paul Peter Urone, Roger Hinrichs

Publisher: OpenStax College

Concept explainers

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot mov…

Videos

Textbook Question

Chapter 24, Problem 25PE

Conversations with astronauts on lunar walks had an echo that was used to estimate the distance to the Moon. The sound spoken by the person on Earth was transformed into a radio signal sent to the Moon, and transformed hack into sound on a speaker inside the astronaut’s space suit. This sound was picked up by the microphone in the space suit (intended tor the astronaut’s voice] and sent back to Earth as a radio echo of sorts. If the round-trip time was 2.60 s, what was the approximate distance to the Moon, neglecting any delays in the electronics?

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Chapter 24, Problem 24PE

Chapter 24, Problem 26PE

Students have asked these similar questions

Question B3 Consider the following FLRW spacetime: t2 ds² = -dt² + (dx² + dy²+ dz²), t2 where t is a constant. a) State whether this universe is spatially open, closed or flat. [2 marks] b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function of time t, starting at t = 0. [3 marks] c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect to galaxy A. d) The Friedmann equations are 2 k 8πG а 4πG + a² (p+3p). 3 a 3 [5 marks] Use these equations to determine the energy density p(t) and the pressure p(t) for the FLRW spacetime specified at the top of the page. [5 marks] e) Given the result of question B3.d, state whether the FLRW universe in question is (i) radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv) none of the previous. Justify your answer. f) [5 marks] A conformally…

SECTION B Answer ONLY TWO questions in Section B [Expect to use one single-sided A4 page for each Section-B sub question.] Question B1 Consider the line element where w is a constant. ds²=-dt²+e2wt dx², a) Determine the components of the metric and of the inverse metric. [2 marks] b) Determine the Christoffel symbols. [See the Appendix of this document.] [10 marks] c) Write down the geodesic equations. [5 marks] d) Show that e2wt it is a constant of geodesic motion. [4 marks] e) Solve the geodesic equations for null geodesics. [4 marks]

Page 2 SECTION A Answer ALL questions in Section A [Expect to use one single-sided A4 page for each Section-A sub question.] Question A1 SPA6308 (2024) Consider Minkowski spacetime in Cartesian coordinates th = (t, x, y, z), such that ds² = dt² + dx² + dy² + dz². (a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V. (b) Consider now the coordinate system x' (u, v, y, z) such that u =t-x, v=t+x. [2 marks] Write down the line element, the metric, the Christoffel symbols and the Riemann curvature tensor in the new coordinates. [See the Appendix of this document.] [5 marks] (c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify explicitly that V. V is invariant under the coordinate transformation. Question A2 [5 marks] Suppose that A, is a covector field, and consider the object Fv=AAμ. (a) Show explicitly that F is a tensor, that is, show that it transforms appropriately under a coordinate transformation. [5 marks] (b)…

Chapter 24 Solutions

College Physics

Ch. 24 - The direction of the electric field shown in each...Ch. 24 - Is the direction of the magnetic field shown in...Ch. 24 - Why is the direction of the current shown in each...Ch. 24 - In which situation shown in Figure 24.24 will the...Ch. 24 - In which situation shown in Figure 24.25 will the...Ch. 24 - Should the straight wire antenna of a radio he...Ch. 24 - Under what conditions might wires in a DC circuit...Ch. 24 - Give an example of interference of electromagnetic...Ch. 24 - Figure 24.26 shows the interference pattern of two...Ch. 24 - Can an antenna be any length? Explain your answer.

Additional Science Textbook Solutions

Find more solutions based on key concepts

2. Define equilibrium population. Outline the conditions that must be met for a population to stay in genetic e...

Biology: Life on Earth (11th Edition)

The enzyme that catalyzes the C C bond cleavage reaction that converts serine to glycine removes the substitue...

Organic Chemistry (8th Edition)

Fibrous connective tissue consists of ground substance and fibers that provide strength, support, and flexibili...

Human Biology: Concepts and Current Issues (8th Edition)

WHAT IF? A chicken has 78 chromosomes in its somatic cells. How many chromosomes did the chicken inherit from ...

Campbell Biology (11th Edition)

24. The 1.0 kg block in FIGURE EX7.24 is tied to the wall with a rope. It sits on top of the 2.0 kg block. The ...

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

1. Which parts of the skeleton belong to the appendicular skeleton? Which belong to the axial skeleton?

Human Anatomy & Physiology (2nd Edition)

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.