University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4, Problem 77P
A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25 km/h. To a stationary observer, what are the speed and direction of the wind?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
Question 04
in 20
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]
Chapter 4 Solutions
University Physics Volume 1
Ch. 4 - Prob. 4.1CYUCh. 4 - Prob. 4.2CYUCh. 4 - Check Your Understanding A rock is thrown...Ch. 4 - Check Your Understanding If the two golf shots in...Ch. 4 - Check Your Understanding A flywheel has a radius...Ch. 4 - Check Your Understanding A boat heads north in...Ch. 4 - What form does the trajectory of a particle have...Ch. 4 - Give an example of a trajectory in two or three...Ch. 4 - If the instantaneous velocity is zero, what can be...Ch. 4 - If the position function of a particle is a linear...
Ch. 4 - If an object has a constant x -component of the...Ch. 4 - If an object has a constant x -component of...Ch. 4 - Answer the following questions for projectile...Ch. 4 - Answer the following questions for projectile...Ch. 4 - A dime is placed at the edge of a table so it...Ch. 4 - Uniform Circular Motion Can centripetal...Ch. 4 - Can tangential acceleration change the speed of a...Ch. 4 - Dimensions What frame or frames of reference do...Ch. 4 - A basketball player dribbling down the court...Ch. 4 - If someone is riding in the back of a pickup thick...Ch. 4 - The hat of a jogger running at constant velocity...Ch. 4 - A clod of dirt falls from the bed of a moving...Ch. 4 - The coordinates of a particle in a rectangular...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - A bird files straight northeast a distance of 95.0...Ch. 4 - A cyclist rides 5.0 km due east, then 10.0 km 20...Ch. 4 - New York Rangers defenseman Daniel Girardi stands...Ch. 4 - Prob. 23PCh. 4 - Clay Matthews, a linebacker for the Green Bay...Ch. 4 - The F-35B Lighting II is a short-takeoff and...Ch. 4 - Prob. 26PCh. 4 - A particles acceleration is (4.0i+3.0j)m/s2. At...Ch. 4 - Prob. 28PCh. 4 - The position of a particle for t0 is given by...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A Lockheed Martin F-35 II lighting jet takes off...Ch. 4 - Projectile Motion A bullet is shot horizontally...Ch. 4 - A marble rolls off a tabletop 1.0 m high and hits...Ch. 4 - A dart is thrown horizontally at a speed of 10 m/s...Ch. 4 - An airplane flying horizontally with a speed of...Ch. 4 - Suppose the airplane in the preceding problem...Ch. 4 - A fastball pitcher can throw a baseball at a speed...Ch. 4 - A projectile is launched at an angle of 30 and...Ch. 4 - A basketball player shoots toward a basket 6.1 m...Ch. 4 - At a particular instant, a hot air balloon is 100...Ch. 4 - A man on a motorcycle traveling at a uniform speed...Ch. 4 - An athlete can jump a distance of 8.0 m in the...Ch. 4 - The maximum horizontal distance a boy can throw a...Ch. 4 - A rock is thrown off a cliff at an angle of 53...Ch. 4 - Trying to escape his pursuers, a secret agent skis...Ch. 4 - A golfer on a fairway is 70 m away from the green,...Ch. 4 - A projectile is shot at a hill, the base of which...Ch. 4 - An astronaut on Mars kicks a soccer ball at an...Ch. 4 - Mike Powell holds the record for the long jump of...Ch. 4 - MIT’s robot cheetah can jump over obstacles 46 cm...Ch. 4 - Mt. Asama, Japan, is an active volcano. In 2009,...Ch. 4 - Drew Brees of the New Orleans Saints can throw a...Ch. 4 - The Lunar Roving Vehicle used In NASA’s late...Ch. 4 - A soccer goal is 2.44 m high. A player kicks the...Ch. 4 - Olympus Mons on Mars is the largest volcano in the...Ch. 4 - In 1999, Robbie Knievel was the first to jump the...Ch. 4 - You throw a baseball at an initial speed of 15.0...Ch. 4 - Aaron Rodgers throws a football at 20.0 m/s to his...Ch. 4 - A flywheel is rotating at 30 rev/s. What is the...Ch. 4 - A particle travels in a circle of radius 10 m at a...Ch. 4 - Cam Newton of the Carolina Panthers throws a...Ch. 4 - A fairground ride spins its occupants inside a...Ch. 4 - A runner taking part in the 200-m dash must run...Ch. 4 - What is the acceleration of Venus toward the Sun,...Ch. 4 - An experimental jet rocket travels around Earth...Ch. 4 - A fan is rotating at a constant 360.0 rev/min....Ch. 4 - A point located on the second hand of a large...Ch. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Raindrops fall vertically at 43 m/s relative to...Ch. 4 - A seagull can fly at a velocity of 9.00 m/s in...Ch. 4 - A ship sets sail from Rotterdam, heading due north...Ch. 4 - A boat can be rowed at 8.0 km/h in still water....Ch. 4 - A small plane flies at 200 km/h in still air. If...Ch. 4 - A cyclist traveling southeast along a road at 15...Ch. 4 - A river is moving east at 4 m/s. A boat starts...Ch. 4 - A Formula One race car is traveling at 89.0 m/s...Ch. 4 - A particle travels m a circular orbit of radius 10...Ch. 4 - The driver of a car moving at 90.0km/h presses...Ch. 4 - A race car entering the curved part of the track...Ch. 4 - An elephant is located on Earth’s surface at a...Ch. 4 - A proton in a synchrotron is moving in a circle of...Ch. 4 - A propeller blade at rest starts to rotate from...Ch. 4 - A particle is executing circular motion with a...Ch. 4 - A particle’s centripetal acceleration is...Ch. 4 - A rod 3.0 m in length is rotating at 2.0 rev/s...Ch. 4 - Prob. 89APCh. 4 - Prob. 90APCh. 4 - Prob. 91APCh. 4 - A crossbow is aimed horizontally at a target 40 m...Ch. 4 - A long jumper can jump a distance of 8.0 m when he...Ch. 4 - On planet Arcon, the maximum horizontal range of a...Ch. 4 - A mountain biker encounters a jump on a race...Ch. 4 - Which has the greater centripetal acceleration, a...Ch. 4 - A geosynchronous satellite orbits Earth at a...Ch. 4 - Two speedboats are traveling at the same speed...Ch. 4 - World’s Longest Par 3. The tee of the world’s...Ch. 4 - When a field goal kicker kicks a football as hard...Ch. 4 - A truck is traveling east at 80 km/h. At an...
Additional Science Textbook Solutions
Find more solutions based on key concepts
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)
53. This reaction was monitored as a function of time:
A plot of In[A] versus time yields a straight ...
Chemistry: Structure and Properties (2nd Edition)
The enzyme that catalyzes the C C bond cleavage reaction that converts serine to glycine removes the substitue...
Organic Chemistry (8th Edition)
The bioremediation process shown in the photograph is used to remove benzene and other hydrocarbons from soil c...
Microbiology: An Introduction
With what geologic feature are the earthquakes in the mid-Atlantic associated?
Applications and Investigations in Earth Science (9th Edition)
18. SCIENTIFIC THINKING By measuring the fossil remains of Homo floresiensis, scientists have estimated its wei...
Campbell Biology: Concepts & Connections (9th 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.Similar questions
- 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)…arrow_forwardHow does boiling point of water decreases as the altitude increases?arrow_forwardNo chatgpt pls will upvotearrow_forward
- 14 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_forwardNo chatgpt pls will upvotearrow_forwardsuggest a reason ultrasound cleaning is better than cleaning by hand?arrow_forward
- Checkpoint 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_forwardWhat 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_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 LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
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
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
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
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Relative Velocity - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=_39hCnqbNXM;License: Standard YouTube License, CC-BY