Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 1.6, Problem 5E
To determine
The expression for length contraction using Lorentz transformation.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A spacecraft is moving at a speed of 0.530 c relative to the earth.
Part A
What is the ratio of the length of the spacecraft, as viewed through a telescope on earth, to its length when measured after landing on earth? (Assume that the spacecraft is moving at a right angle to the line of
observation.)
?
Submit
Request Answer
An event has spacetime coordinates
(x, t) (1200 m, 2.8 μs) in reference frame S.
Part A
What is the event's spacetime coordinate a' in reference frame S' that moves in the positive 2-direction at 0.80c?
Express your answer with the appropriate units.
View Available Hint(s)
x' = 880 m
.com/myct/itemView?assignment ProblemID-195605...
2
F2
3
#
a
$
4
5
Лх
%
6 >
Submit
Previous Answers
✓ Correct
Part B
What is the event's spacetime coordinate t' in reference frame S'?
Express your answer with the appropriate units.
▸ View Available Hint(s)
t' = -0.67 μs
Submit
Previous Answers
✓ Correct
Part C
What is the event's spacetime coordinate z" in reference frame S" that moves in the negative 2-direction at 0.80c7
Express your answer with the appropriate units.
▸ View Available Hint(s)
&フ
7
W
E
R
T
Y
U
S
▷ll
FB
44
00 +
8
-
9
-
о
)
0
D
F
G
H
J
K
L
9
<35)
F10
F11
P
لالیا
X
C
V
B
N
M
V-
. V
H
H
and
command
option
1 T
?
= -
}
delete
✓
Two asteroids head straight for Earth from the same direction.
Their speeds relative to Earth are 0.82c for asteroid 1 and
0.60c for asteroid 2.
Part A
Find the speed of asteroid 1 relative to asteroid 2.
Express your answer using two significant figures.
VE ΑΣΦ +
V=
.22
Submit
Previous Answers Request Answer
?
* Incorrect; Try Again; 4 attempts remaining
C
Chapter 1 Solutions
Modern Physics
Ch. 1.2 - Prob. 1ECh. 1.2 - Exercise 2 Conservation of Linear Momentum Is...Ch. 1.5 - If the speed of the observer is increased by 5.0%,...Ch. 1.5 - If the ship moves past the observer at 0.01000c,...Ch. 1.6 - Prob. 5ECh. 1 - What two measurements will two observers in...Ch. 1 - A spaceship in the shape of a sphere moves past an...Ch. 1 - An astronaut moves away from Earth at a speed...Ch. 1 - Two identically constructed clocks are...Ch. 1 - Two lasers situated on a moving spacecraft are...
Ch. 1 - Prob. 6QCh. 1 - When we speak of time dilation, do we mean that...Ch. 1 - Prob. 8QCh. 1 - Prob. 9QCh. 1 - It is said that Einstein, in his teenage years,...Ch. 1 - Prob. 11QCh. 1 - What happens to the density of an object as its...Ch. 1 - In a lab frame of reference, an observer finds...Ch. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - An airplane flying upwind, downwind, and crosswind...Ch. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - A clock on a moving spacecraft runs 1 s slower per...Ch. 1 - A meter stick moving in a direction parallel to...Ch. 1 - A spacecraft moves at a speed of 0.900c. If its...Ch. 1 - The average lifetime of a pi meson in its own...Ch. 1 - An atomic clock is placed in a jet airplane. The...Ch. 1 - An astronaut at rest on Earth has a heartbeat rate...Ch. 1 - The muon is an unstable particle that...Ch. 1 - A rod of length L0 moves with a speed v along the...Ch. 1 - The classical Doppler shift for light. A light...Ch. 1 - Calculate, for the judge, how fast you were going...Ch. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Two spaceships approach each other, each moving...Ch. 1 - Prob. 20PCh. 1 - An observer on Earth observes two spacecraft...Ch. 1 - Speed of light in a moving medium. The motion of a...Ch. 1 - An observer in frame S sees lightning...Ch. 1 - As seen from Earth, two spaceships A and B are...Ch. 1 - Prob. 25PCh. 1 - The proper length of one spaceship is three times...Ch. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - A spaceship moves away from Earth at a speed v and...Ch. 1 - An observer in a rocket moves toward a mirror at...Ch. 1 - A physics professor on Earth gives an exam to her...Ch. 1 - A yet-to-be-built spacecraft starts from Earth...Ch. 1 - Suppose our Sun is about to explode. In an effort...Ch. 1 - Two powerless rockets are on a collision course....Ch. 1 - Prob. 35PCh. 1 - Suzanne observes two light pulses to be emitted...Ch. 1 - An observer in reference frame S sees two events...Ch. 1 - A spacecraft is launched from the surface of the...Ch. 1 - An Earth satellite used in the Global Positioning...Ch. 1 - Prob. 40P
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
- An event has spacetime coordinates (x, t) (1200 m, 2.8 μs) in reference frame S. Part A What is the event's spacetime coordinate x' in reference frame S' that moves in the positive x-direction at 0.80c? Express your answer with the appropriate units. ▸ View Available Hint(s) µÅ Value ? Units Units input for part A Submit Previous Answers F2 3 # F3 Incorrect; Try Again; 4 attempts remaining Part B What is the event's spacetime coordinate t' in reference frame S'? Express your answer with the appropriate units. ▸ View Available Hint(s) Submit Part C 20 a F5 F6 4 509 $ % L 5 6 & 7 ? Value Units F7 W E R T Y U 5 D F 8 * 00 DII DD 9 - 9 G H J K L <333) F12 P L } ] dele X C V B N M HE * command option ? Reviewarrow_forwardIn the earth's rest frame, two protons are moving away from each other at equal speed. In the frame of each proton, the other proton has a speed of 0.650c. Part A What does an observer in the rest frame of the earth measure for the speed of each proton? Express your answer as a multiple of the speed of light. V7 ΑΣΦ U = Submit Request Answer ?arrow_forwardPart A The distance to a particular star, as measured in the earth's trame of reterence, is 734 ly (1 light year is the distance light travels in 1 y )A spaceship leaves earth headed for the star, and takes 3.66 y to arrive, as measured by passengers on the ship How long does the trip take, according to observers on earth? Express your answer in years, t= 7.34 Submit Previous Answers Bequest Answer X Incorrect; Try Agaln; 4 attempts remaining Part What distance for the trip do passengers on the spacecraft measure? (Hint What is the speed of lght in units of ly/y?) Express your answer in light years 2- 3.66 ly Submit Previous Anaeers Request Anewer X Incorrect; Try Again; 4 attempts remaining Pearsonarrow_forward
- Problem A.4: Special Relativity - Part I Special relativity has become a fundamental theory in the 20th century and is crucial for ex- plaining many astrophysical phenomena. A central aspect of special relativity is the transfor- mation from one reference frame to another. The following Lorentz transformation matrix gives the transformation from a frame at rest to a moving frame with velocity v along the z-axis: 0 0 YB 1 1 YB 0 0 where B = v/c with c being the speed of light in a vacuum, and y is the Lorentz factor: 1 V1- 82 (a) State and explain the two traditional postulates from which special relativity originates. (b) Draw a plot of the Lorentz factor for 0 < B < 0.9 to see how its value changes. One of the many exciting phenomena of special relativity is time dilation. Imagine astronauts in a spaceship that is passing by the Earth with a high velocity. (c) Are clocks ticking slower for the people on Earth or for the astronauts on the spaceship? (d) How fast must the spaceship…arrow_forward▾ Part A A subatomic particle moves through the laboratory at 0.90 c. Laboratory experimenters measure its lifetime, from creation to annihilation, to be 2.1 ps. (1 ps 10-12s). = According to the particle, how long did it live? Express your answer using two significant figures. tp = ΜΕ ΑΣΦ Submit Request Answer Provide Feedback ? psarrow_forwardPART A Let's say this train moves with the speed of the fastest train in the word, 190 m/s and the light travels distance 240 100 m (for the observed on the train). = What is the proper time interval (as in, how long did it actually take for the person on the platform?) PART B Let's say this train moves with the 0.19c and the light travels distance 100 m (for the observed on the train). 2Lo = How much longer would it take according to the stationary observed on the platform?arrow_forward
- Imagine a space vessel traveling at a constant velocity toward a star that is 6.05 ly from the Earth. A passenger aboard the moving space vessel measures the Earth-star distance to be 2.60 ly. What is the space vessel's speed with respect to the Earth? Express your answer as a fraction of the speed of light. Varrow_forwardTwo asteroids head straight for Earth from the same direction. Their speeds relative to Earth are 0.82c for asteroid 1 and 0.60c for asteroid 2. Part A Find the speed of asteroid 1 relative to asteroid 2. Express your answer using two significant figures. [5] ΑΣΦ V= Submit Provide Feedback Request Answer ? сarrow_forwardThe Stanford Linear Accelerator (SLAC) accelerates electrons to c=0.99999997c in a 3.10 km-long tube. Part A If they travel the length of the tube at full speed (they don't, because they are accelerating), how long is the tube in the electrons' reference frame? Express your answer with the appropriate units. 20 FO Value Submit Request Answer Provide Feedback ? Units F7 FB @ # $ % & ( 3 4 5 6 7 8 9 W E R T Y U FIR 0 P S D F G H J K L √FF7 F13 X C V B N M H and дв command option ? Next > delearrow_forward
- Constants | Periodic Table Reference frame S' moves at speed v = 0.95c in the +a direction with respect to reference frame S. The origins of S and S' overlap at t =t' = 0. An object is stationary in S' at position a' = 140 m Part A What is the position of the obiect in S when the clock in S reads 1.1 us according to the Galilean transformation equations? Express your answer with the appropriate units. I = 454 m Submit Previous Answers Correct Part B What is the position of the object in S when the clock in S reads 1.1 us according to the Lorentz transformation equations? Express your answer with the appropriate units. HÀ ? Value Submit Previous Answers Request Answer Incorrect: Try Again: 3 attempts remainingarrow_forwardPRINTER VERSION 4 ВАСК NEXT Chapter 13, Problem 041 Your answer is partially correct. Try again. Two neutron stars are separated by a distance of 1.0 x 1010 m. They each have a mass of 1.0 x 1029 kg and a radius of 1.0 x 104 m. They are initially at rest with respect to each other. As measured from that rest frame, how fast are they moving when (a) their separation has decreased to one-half its initial value and (b) they are about to collide? (a) Number T2582.3 Unitsm/s (b) Number T1.826E11 Unit m/s Click if you would like to Show Work for this question: Open Show Workarrow_forwardPart A A subatomic particle moves through the laboratory at 0.90 c. Laboratory experimenters measure its lifetime, from creation to annihilation, to be 2.1 ps. (1 ps = 10-12 s). According to the particle, how long did it live? Express your answer using two significant figures. tp = ΜΕ ΑΣΦ Submit Request Answer ? psarrow_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 LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher: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