Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 45PQ
Figure P7.45 shows a picture of American astronaut Clay Anderson experiencing weightlessness on board the International Space Station.
a. Most people have the misconception that a person in a spacecraft is weightless because he or she is no longer affected by gravity. Show that this premise cannot be true by computing the gravitational field of the Earth at an altitude of 200 km the typical altitude of a spacecraft in orbit. Compare this result with the gravitational field on the surface of the Earth.
b. Why would astronauts in orbit experience weightlessness even if they are experiencing a gravitational field (and therefore a gravitational force)?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
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 7 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 7.1 - What important experimental skills can we learn...Ch. 7.2 - Three possible planetary orbits are shown in...Ch. 7.2 - Prob. 7.3CECh. 7.2 - Prob. 7.4CECh. 7.2 - Todays employees are rewarded for thinking outside...Ch. 7 - We use the terms sunset and sunrise. In what way...Ch. 7 - Prob. 2PQCh. 7 - For many years, astronomer Percival Lowell...Ch. 7 - Prob. 4PQCh. 7 - Prob. 5PQ
Ch. 7 - Io and Europa are two of Jupiters many moons. The...Ch. 7 - Model the Moons orbit around the Earth as an...Ch. 7 - Prob. 8PQCh. 7 - Prob. 9PQCh. 7 - Prob. 10PQCh. 7 - Prob. 11PQCh. 7 - Prob. 12PQCh. 7 - A massive black hole is believed to exist at the...Ch. 7 - Since 1995, hundreds of extrasolar planets have...Ch. 7 - When Sedna was discovered in 2003, it was the most...Ch. 7 - Prob. 16PQCh. 7 - The mass of the Earth is approximately 5.98 1024...Ch. 7 - Prob. 18PQCh. 7 - Prob. 19PQCh. 7 - A black hole is an object with mass, but no...Ch. 7 - Prob. 21PQCh. 7 - Prob. 22PQCh. 7 - The Lunar Reconnaissance Orbiter (LRO), with mass...Ch. 7 - A Suppose a planet with mass m is orbiting star...Ch. 7 - Prob. 25PQCh. 7 - Three billiard balls, the two-ball, the four-ball,...Ch. 7 - Saturns ring system forms a relatively thin,...Ch. 7 - Prob. 28PQCh. 7 - Find the magnitude of the Suns gravitational force...Ch. 7 - Prob. 30PQCh. 7 - Prob. 31PQCh. 7 - Prob. 32PQCh. 7 - Prob. 33PQCh. 7 - Prob. 34PQCh. 7 - Prob. 35PQCh. 7 - In your own words, describe the difference between...Ch. 7 - The Sun has a mass of approximately 1.99 1030 kg....Ch. 7 - Prob. 38PQCh. 7 - Prob. 39PQCh. 7 - Prob. 40PQCh. 7 - Three billiard balls, the two-ball, the four-ball,...Ch. 7 - Prob. 42PQCh. 7 - Prob. 43PQCh. 7 - Prob. 44PQCh. 7 - Figure P7.45 shows a picture of American astronaut...Ch. 7 - Prob. 46PQCh. 7 - Prob. 47PQCh. 7 - Prob. 48PQCh. 7 - Prob. 49PQCh. 7 - Prob. 50PQCh. 7 - The International Space Station (ISS) experiences...Ch. 7 - Prob. 52PQCh. 7 - Two black holes (the remains of exploded stars),...Ch. 7 - Prob. 54PQCh. 7 - Prob. 55PQCh. 7 - Consider the Earth and the Moon as a two-particle...Ch. 7 - Prob. 57PQCh. 7 - Consider the Earth and the Moon as a two-particle...Ch. 7 - Prob. 59PQCh. 7 - You are a planetary scientist studying the...Ch. 7 - Prob. 61PQCh. 7 - Prob. 62PQCh. 7 - Planetary orbits are often approximated as uniform...Ch. 7 - Prob. 64PQCh. 7 - Prob. 65PQCh. 7 - Prob. 66PQCh. 7 - Prob. 67PQCh. 7 - Prob. 68PQCh. 7 - Prob. 69PQCh. 7 - Prob. 70PQ
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.Similar questions
- No chatgpt pls will upvote Iarrow_forwardHow would partial obstruction of an air intake port of an air-entrainment mask effect FiO2 and flow?arrow_forward14 Z In figure, a closed surface with q=b= 0.4m/ C = 0.6m if the left edge of the closed surface at position X=a, if E is non-uniform and is given by € = (3 + 2x²) ŷ N/C, calculate the (3+2x²) net electric flux leaving the closed surface.arrow_forward
- No chatgpt pls will upvotearrow_forwardsuggest a reason ultrasound cleaning is better than cleaning by hand?arrow_forwardCheckpoint 4 The figure shows four orientations of an electric di- pole in an external electric field. Rank the orienta- tions according to (a) the magnitude of the torque on the dipole and (b) the potential energy of the di- pole, greatest first. (1) (2) E (4)arrow_forward
- What is integrated science. What is fractional distillation What is simple distillationarrow_forward19:39 · C Chegg 1 69% ✓ The compound beam is fixed at Ę and supported by rollers at A and B. There are pins at C and D. Take F=1700 lb. (Figure 1) Figure 800 lb ||-5- F 600 lb بتا D E C BO 10 ft 5 ft 4 ft-—— 6 ft — 5 ft- Solved Part A The compound beam is fixed at E and... Hình ảnh có thể có bản quyền. Tìm hiểu thêm Problem A-12 % Chia sẻ kip 800 lb Truy cập ) D Lưu of C 600 lb |-sa+ 10ft 5ft 4ft6ft D E 5 ft- Trying Cheaa Những kết quả này có hữu ích không? There are pins at C and D To F-1200 Egue!) Chegg Solved The compound b... Có Không ☑ ||| Chegg 10 וחarrow_forwardNo chatgpt pls will upvotearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Newton's First Law of Motion: Mass and Inertia; Author: Professor Dave explains;https://www.youtube.com/watch?v=1XSyyjcEHo0;License: Standard YouTube License, CC-BY