Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 35P
A ball is thrown directly downward with an initial speed of 8.00 m/s from a height of 30.0 m. After what time interval does it strike the ground?
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 2 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are members of the highway patrol more interested...Ch. 2.4 - Using Active Figure 2.8, match each vxt graph on...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which of the following statements is true? (a) If...Ch. 2.7 - A ball is thrown upward. While the ball is in...Ch. 2 - One drop of oil falls straight down onto the road...Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 3OQCh. 2 - Prob. 4OQ
Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Prob. 8OQCh. 2 - As an object moves along the x axis, many...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A hard rubber ball, not affected by air resistance...Ch. 2 - Prob. 14OQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 2CQCh. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 8PCh. 2 - A hare and a tortoise compete in a race over a...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - A particle moves along the x axis according to the...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Figure P2.15 shows a graph of vx versus t for the...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Prob. 17PCh. 2 - The minimum distance required to stop a car moving...Ch. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - The driver of a car slams on the brakes when he...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - A truck on a straight road starts from rest,...Ch. 2 - A particle moves along the x axis. Its position is...Ch. 2 - A speedboat travels in a straight line and...Ch. 2 - In a classic clip on Americas Funniest Home...Ch. 2 - Prob. 29PCh. 2 - A baseball is hit so that it travels straight...Ch. 2 - Prob. 31PCh. 2 - It is possible to shoot an arrow at a speed as...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - A ball is thrown directly downward with an initial...Ch. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A steam catapult launches a jet aircraft from the...Ch. 2 - An object is at x = 0 at t = 0 and moves along the...Ch. 2 - Colonel John P. Stapp, USAF, participated in...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - A ball starts from rest and accelerates at 0.500...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Prob. 45PCh. 2 - The Acela is an electric train on the...Ch. 2 - Liz rushes down onto a subway platform to find her...Ch. 2 - A commuter train travels between two downtown...Ch. 2 - Prob. 49PCh. 2 - A motorist drives along a straight road at a...Ch. 2 - Prob. 51PCh. 2 - Astronauts on a distant planet toss a rock into...Ch. 2 - Prob. 53PCh. 2 - A hard rubber ball, released at chest height,...Ch. 2 - A man drops a rock into a well. (a) The man hears...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - Two objects, A and B, are connected by a rigid rod...
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
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author: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
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
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
Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY