PHYSICS 1250 PACKAGE >CI<
9th Edition
ISBN: 9781305000988
Author: SERWAY
Publisher: CENGAGE LEARNING (CUSTOM)
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 2.75AP
Two objects, A and B, are connected by hinges to a rigid rod that has a length L. The objects slide along perpendicular guide rails as shown in Figure P2.40. Assume object A slides to the left with a constant speed v. (a) Find the velocity vB of object B as a function of the angle θ. (b) Describe vB relative to v. Is vB always smaller than v, larger than v, or the same as v, or does it have some other relationship?
Figure P2.40
Expert Solution & Answer
Trending nowThis is a popular solution!
Students 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 2 Solutions
PHYSICS 1250 PACKAGE >CI<
Ch. 2 - Are officers in the highway patrol more interested...Ch. 2 - Make a velocitytime graph for the car in Figure...Ch. 2 - If a car is traveling eastward and slowing down,...Ch. 2 - Which one of the following statements is true? (a)...Ch. 2 - In Figure 2.12, match each vxt graph on the top...Ch. 2 - Consider the following choices: (a) increases, (b)...Ch. 2 - One drop of oil falls straight down onto the road...Ch. 2 - A racing car starts from rest at t = 0 and reaches...Ch. 2 - A juggler throws a bowling pin straight up in the...Ch. 2 - When applying the equations of kinematics for an...
Ch. 2 - A cannon shell is fired straight up from the...Ch. 2 - An arrow is shot straight up in the air at an...Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - A rock is thrown downward from the top of a...Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - Oil another planet, a marble is released from rest...Ch. 2 - As an object moves along the .v axis, many...Ch. 2 - A pebble is dropped from rest from the lop of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Von drop a ball from a window located on an upper...Ch. 2 - A pebble is released from rest at a certain height...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 - Each of the strobe photographs (a), (b). and (c)...Ch. 2 - If the average velocity of an object is zero in...Ch. 2 - Try the following experiment away from traffic:...Ch. 2 - Prob. 2.3CQCh. 2 - Prob. 2.4CQCh. 2 - Prob. 2.5CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - (a) Can (he equations of kinematics (Eqs....Ch. 2 - (a) Can the velocity of an object at an instant of...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Section 2.1 Position, Velocity, and Speed The...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - A prison walks first al a constant speed of 5.00...Ch. 2 - A particle moves according to the equation x =...Ch. 2 - The position of a pinewood derby car was observed...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Review. The North American and European plates of...Ch. 2 - A hare and a tortoise compete in a race over a...Ch. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 2 - Review. A 50.0-g Super Ball traveling al 25.0 m/s...Ch. 2 - A velocity-time graph for an object moving along...Ch. 2 - A child rolls a marble on a bent track that is 100...Ch. 2 - Figure P2.9 shows a graph of vx versus t for the...Ch. 2 - (a) Use the data in Problem 3 to construct a...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - A panicle mows along the x axis according to the...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - The minimum distance required to stop a car moving...Ch. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - A speedboat moving at 30.0 m/s approaches a...Ch. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - A truck covers 40.0 m in 8.50 s while smoothly...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - Prob. 2.31PCh. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - A truck on a straight road starts from rest,...Ch. 2 - Why is the following situation impossible?...Ch. 2 - The driver of a car slants on the brakes when he...Ch. 2 - Prob. 2.36PCh. 2 - A speedboat travels in a straight line and...Ch. 2 - A particle moves along the x axis. Its position is...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - An object moves with constant acceleration 4.00...Ch. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - Figure P2.43 represents part of the performance...Ch. 2 - A hockey player is standing on his skates on a...Ch. 2 - In Chapter 9, we will define the center of mass of...Ch. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - Why is the following situation impossible? Emily...Ch. 2 - A baseball is hit so that it travels straight...Ch. 2 - It is possible to shoot an arrow at a speed as...Ch. 2 - The height of a helicopter above the ground is...Ch. 2 - Prob. 2.51PCh. 2 - A ball is thrown upward from the ground with an...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 daring ranch hand sitting on a tree limb wishes...Ch. 2 - A package is dropped at time t = 0 from a...Ch. 2 - Automotive engineers refer to the time rate of...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - The speed of a bullet as it travels down the...Ch. 2 - A certain automobile manufacturer claims that its...Ch. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - An object is at x = 0 at t = 0 and moves along the...Ch. 2 - Ail inquisitive physics student and mountain...Ch. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - A ball starts from rest and accelerates at 0.5(H)...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - An elevator moves downward in a tall building at a...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - The Acela is an electric train on the...Ch. 2 - Two objects move with initial velocity 8.00 m/s,...Ch. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - A catapult launches a test rocket vertically...Ch. 2 - Kathy tests her new sports car by racing with...Ch. 2 - Two students are on a balcony a distance h above...Ch. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Astronauts on a distant planet toss a rock into...Ch. 2 - A motorist drives along a straight road at a...Ch. 2 - A commuter train travels between two downtown...Ch. 2 - Lisa rushes down onto a subway platform to find...Ch. 2 - A hard rubber ball, released at chest height,...Ch. 2 - A blue car of length 4.52 m is moving north on a...Ch. 2 - Review. As soon as a traffic light turns green, a...Ch. 2 - In a womens 100-m race, accelerating uniformly,...Ch. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - A man drops a rock into a well, (a) The man hears...
Additional Science Textbook Solutions
Find more solutions based on key concepts
1. Rub your hands together vigorously. What happens? Discuss the energy transfers and transformations that take...
College Physics: A Strategic Approach (3rd Edition)
The active ingredient in Tylenol and a host of other over-the-counter pain relievers is acetaminophen (C8H9NO2)...
Chemistry: Atoms First
Sea turtles have disappeared from many regions, and one way of trying to save them is to reintroduce them to ar...
MARINE BIOLOGY
Separate the list P,F,V,,T,a,m,L,t, and V into intensive properties, extensive properties, and nonproperties.
Fundamentals Of Thermodynamics
Why are mutants used as test organisms in the Ames test?
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
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 Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
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
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY