College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 27, Problem 41GP
A cube of metal with sides of length a sits at rest in the laboratory with one edge parallel to the x axis. Therefore, in the laboratory frame, its volume is a3. A rocket ship flies past the laboratory parallel to the x axis with a velocity v. As measured by an observer in the rocket, determine (a) the length of the edges of the cube that are perpendicular to the x axis, (b) the length of the cube edges that are parallel to the x axis, and (c) the volume of the metal cube.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
You are an engineer assigned to build a spaceship. The length and diameter of your spaceship as measured by an astronaut on board are 80.0 m and 25.0 m, respectively. The spaceship moves at 70% the speed of light relative to you on Earth in a direction parallel to its length. What are its dimensions as measured by you on Earth?
A cylindrical spaceship of length 35.0 m and diameter 8.35 m is traveling in the direction of its cylindrical axis (length). It passes by the Earth at a relative speed of 2.44××1088 m/s.
a) What is the length of the ship, as measured by an Earth observer?
b) What is the diameter of the ship, as measured by an Earth observer?
c) How long does it take the spaceship to travel a distance of 10.0 km according to the ship's pilot?
d) How long does it take the spaceship to travel a distance of 10.0 km according to an Earth-based observer?
James (mass 81.0 kg) and Ramon (mass 57.0 kg) are 20.0 m apart on a frozen pond. Midway between them is a mug of their favorite beverage. They pull on the ends of a light rope stretched between them. Ramon pulls on the rope to give himself a speed of 1.10 m/s. What is James's speed? It must have the proper dimensions of speed.
Chapter 27 Solutions
College Physics (10th Edition)
Ch. 27 - Suppose the speed of light were 30 m/s instead of...Ch. 27 - The average life span in the United States is...Ch. 27 - Two events occur at the same spatial point in a...Ch. 27 - Does the fact that simultaneity is not an absolute...Ch. 27 - Prob. 5CQCh. 27 - Prob. 6CQCh. 27 - A student asserted that a massless particle must...Ch. 27 - Why do you think the development of Newtonian...Ch. 27 - Youre approaching the star Betelgeuse in your...Ch. 27 - Discuss several good reasons for believing that no...
Ch. 27 - People sometimes interpret the theory of...Ch. 27 - Prob. 12CQCh. 27 - A rocket flies toward the earth at 12c, and the...Ch. 27 - A rocket is travelling at 13C relative to earth...Ch. 27 - A spaceship flies past a planet at a speed of...Ch. 27 - A square measuring 1 m by 1 m is moving away from...Ch. 27 - To an observer moving along with the square in the...Ch. 27 - To the observer moving along with the square in...Ch. 27 - A high-speed train passes a train platform....Ch. 27 - If it requires energy U to accelerate a rocket...Ch. 27 - A rocket is traveling toward the earth at 12c when...Ch. 27 - For the missile in the preceding problem, the...Ch. 27 - Prob. 11MCPCh. 27 - A rocket ship is moving toward earth at 23c. The...Ch. 27 - A spaceship is traveling toward earth from the...Ch. 27 - A rocket is moving to the right at half the speed...Ch. 27 - A futuristic spaceship flies past Pluto with a...Ch. 27 - Inside a spaceship flying past the earth at...Ch. 27 - Prob. 5PCh. 27 - The negative pion is an unstable particle with an...Ch. 27 - An alien spacecraft is flying overhead at a great...Ch. 27 - How fast must a rocket travel relative to the...Ch. 27 - A spacecraft flies away from the earth with a...Ch. 27 - You measure the length of a futuristic car to be...Ch. 27 - Prob. 11PCh. 27 - A spacecraft is moving at a speed of 0.800c...Ch. 27 - A rocket ship flies past the earth at 85.0% of the...Ch. 27 - || A spaceship makes the long trip from earth to...Ch. 27 - || A muon is created 55.0 km above the surface of...Ch. 27 - An enemy spaceship is moving toward your...Ch. 27 - || An enemy spaceship, which is moving at high...Ch. 27 - | Two particles in a high-energy accelerator...Ch. 27 - | A pursuit spacecraft from the planet Zirkon is...Ch. 27 - | Two panicles are created in a high-energy...Ch. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - A particle of mass m is moving at a speed v. (a)...Ch. 27 - Relativistic baseball. Calculate the magnitude of...Ch. 27 - Sketch a graph of (a) the nonrelativistic...Ch. 27 - An electron is acted upon by a force of 5.00 1015...Ch. 27 - Using both the nonrelativistic and relativistic...Ch. 27 - A particle is moving with a speed of 0.80c....Ch. 27 - Prob. 29PCh. 27 - Gasoline contains about 1.2 108 J of usable...Ch. 27 - A proton (rest mass 1.67 1027 kg) has total...Ch. 27 - In a hypothetical nuclear-fusion reactor, two...Ch. 27 - An antimatter reactor. When a particle meets its...Ch. 27 - A particle has a rest mass of 6 64 1027 kg and a...Ch. 27 - Prob. 35PCh. 27 - Sketch a graph of (a) the nonrelativistic...Ch. 27 - The starships of the Solar Federation are marked...Ch. 27 - A space probe is sent to the vicinity of the star...Ch. 27 - Two events are observed in a frame of reference S...Ch. 27 - Why are we bombarded by muons? Muons are unstable...Ch. 27 - A cube of metal with sides of length a sits at...Ch. 27 - In an experiment, two protons are shot directly...Ch. 27 - A 0.100 g speck of dust is accelerated from rest...Ch. 27 - By what minimum amount does the mass of 4.00 kg of...Ch. 27 - In certain radioactive beta decay processes (more...Ch. 27 - A 45 inclined plane is at rest in a physics...Ch. 27 - Prob. 47GPCh. 27 - A nuclear device containing 8.00 kg of plutonium...Ch. 27 - Electrons are accelerated through a potential...Ch. 27 - A nuclear physicist measures the momentum and...Ch. 27 - Prob. 51GPCh. 27 - Prob. 52GPCh. 27 - Speed of light. Our universe has properties that...Ch. 27 - Speed of light. Our universe has properties that...Ch. 27 - Speed of light. Our universe has properties that...Ch. 27 - Speed of light. Our universe has properties that...
Additional Science Textbook Solutions
Find more solutions based on key concepts
1. ___ Mitosis 2. ___ Meiosis 3. __ Homologous chromosomes 4. __ Crossing over 5. __ Cytokinesis A. Cytoplasmic...
Microbiology with Diseases by Body System (5th Edition)
What is the difference between cellular respiration and external respiration?
Human Physiology: An Integrated Approach (8th Edition)
Choose the best answer to each of the following. Explain your reasoning. Leftover ice-rich planetesimals are ca...
Cosmic Perspective Fundamentals
What properties do all types of epithelia share?
Campbell Biology (11th Edition)
10.71 Identify each of the following as an acid or a base: (10.1)
H2SO4
RbOH
Ca(OH)2
HI
...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Where are skeletal cartilages located?
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.Similar questions
- As measured by observers in a reference frame S, a particle having charge q moves with velocity v in a magnetic field B and an electric field E. The resulting force on the particle is then measured to be F = q(E + v × B). Another observer moves along with the charged particle and measures its charge to be q also but measures the electric field to be E′. If both observers are to measure the same force, F, show that E′ = E + v × B.arrow_forwardA rod of length L0 moving with a speed v along the horizontal direction makes an angle 0 with respect to the x axis. (a) Show that the length of the rod as measured by a stationary observer is L = L0[1 (v2/c2)cos2 0]1/2. (b) Show that the angle that the rod makes with the x axis is given by tan = tan 0. These results show that the rod is both contracted and rotated. (Take the lower end of the rod to be at the origin of the primed coordinate system.)arrow_forwardA pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69arrow_forward
- Suppose the primed and laboratory observers want to measure the length of a rod that rests on the ground horizontally in the space between the helicopter and the tower (Fig. 39.8B). To derive the length transformation L = L (Eq. 39.5), we had to assume that the positions of the two ends were determined simultaneously. What happens to the length transformation equation if both observers measure the end below the helicopter at one time t1 and the other end at a later time t2?arrow_forwardAn observer in a rocket moves toward a mirror at speed v relative to the reference frame labeled by S in Figure P1.30. The mirror is stationary with respect to S. A light pulse emitted by the rocket travels toward the mirror and is reflected back to the rocket. The front of the rocket is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the rocket. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the front of the rocket? Figure P1.30arrow_forwardJoe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe shoots a picture for aduration of t= 12.0 s. For the same duration as measured inthe laboratory frame, at location S2 (1.00 km, 0.200 km,0.300 km), Moe also shoots a picture. Both Joe and Moe begintaking their pictures at t = 0 in the laboratory frame. Determine the duration of each event as measured by an observer ina frame moving at a speed of 2.00 108 m/s along the x axisin the positive x direction. Assume that at t = t = 0, the origins of the two frames coincide.arrow_forward
- According to special relativity, a particle of rest mass m0 accelerated in one dimension by a force F obeys the equation of motion dp/dt = F. Here p = m0v/(1 –v2/c2)1/2 is the relativistic momentum, which reduces to m0v for v2/c2 << 1. (a) For the case of constant F and initial conditions x(0) = 0 = v(0), find x(t) and v(t). (b) Sketch your result for v(t). (c) Suppose that F/m0 = 10 m/s2 ( ≈ g on Earth). How much time is required for the particle to reach half the speed of light and of 99% the speed of light?arrow_forwardAn observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at x1 = y1 = z1 = t1 = 0 and the second at x2 = 100 m, y2 = z2 = t2 = 0. (a) What are the coordinates of these two events in a frame S moving in the standard configuration at 0.70c relative to S? (b) How far apart are the events in S? (c) Are the events simultaneous in S? If not, what is the difference in time between the events, and which event occurs first?arrow_forwardSpacecraft I, containing students taking a physics exam, approaches the Earth with a speed of 0.600c (relative to the Earth), while spacecraft II, containing professors proctoring the exam, moves at 0.280c (relative to the Earth) directly toward the students. If the professors stop the exam after 50.0 min have passed on their clock, for what time interval does the exam last as measured by (a) the students and (b) an observer on the Earth?arrow_forward
- A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of 50.0° above the horizontal, positive x-axis. Another spacecraft is moving past with a velocity of 0.700c in the negative x direction. Determine the magnitude and direction of the velocity of the first spacecraft as measured by the pilot of the second spacecraft.arrow_forwardAn unstable particle with mass m = 3.34 1027 kg is initially at rest. The particle decays into two fragments that fly off along the x axis with velocity components u1 = 0.987c and u2 = 0.868c. From this information, we wish to determine the masses of fragments 1 and 2. (a) Is the initial system of the unstable particle, which becomes the system of the two fragments, isolated or nonisolated? (b) Based on your answer to part (a), what two analysis models are appropriate for this situation? (c) Find the values of for the two fragments after the decay. (d) Using one of the analysis models in part (b), find a relationship between the masses m1 and m2 of the fragments. (e) Using the second analysis model in part (b). find a second relationship between the masses m1 and m2. (f) Solve the relationships in parts (d) and (c) simultaneously for the masses m1 and m2.arrow_forwardOwen and Dina are at rest in frame S. which is moving at 0.600c with respect to frame S. They play a game of catch while Ed. at rest in frame S, watches the action (Fig. P39.91). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S') is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author: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 with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
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
Physics
ISBN:9781337553278
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
Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY