Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 3P
To determine
To show: The equation
travel to the mirror D and back to source point and angle at which light must travel so, that reflection takes place by the mirror.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Problem 2.
Prove that if the relative velocity of the transmitter
toward the receiver is +v m/sec, the received frequency of the RF carrier at
fe Hz is given by
fr
=
(1+v/c) fe
√1-(v/c)2
and if the relative velocity of the transmitter away the receiver is -v m/sec,
the received frequency of the RF carrier at fc Hz is given by
where c is the speed of light.
Hint: Use special relativity.
(1-v/c)fe
fr
=
√1-(v/c)2
You are in the magic school bus alone. For some reason, you decide to shine a laser straight up. The bus is at a height h = 3.50 m, excluding the wheels, and is travelling at a speed v = 0.800c. Now, your crush is on a car at rest, watching as the bus goes right past.(a) What is the time it takes for the light in your perspective to bounce from the laser to the top of the bus, then to the floor, and back to the laser? (b) Do this same calculation, but for your crush’s perspective. Hint: Light travels at the same speed from any perspective. (c) What is the ratio of the time from your crush’s view and that of your view?
Lorentz Force
Problem 2.01. A charge q = 5.45 mC moves at a velocity = 3.50 × 10³ (+3) in a uniform magnetic
field B = 5.00 mT (3). (a) Find the direction and magnitude of the force experienced by this charge. (b)
What direction and magnitude of electric field is needed to cancel the magnetic force on the particle?
Chapter 2 Solutions
Modern Physics for Scientists and Engineers
Ch. 2 - Michelson used the motion of the Earth around the...Ch. 2 - If you wanted to set out today to find the effects...Ch. 2 - Prob. 3QCh. 2 - Prob. 4QCh. 2 - Prob. 5QCh. 2 - Prob. 6QCh. 2 - Prob. 7QCh. 2 - Prob. 8QCh. 2 - Devise a system for you and three colleagues, at...Ch. 2 - In the experiment to verify time dilation by...
Ch. 2 - Can you think of an experiment to verify length...Ch. 2 - Would it be easier to perform the muon decay...Ch. 2 - On a spacetime diagram, can events above t = 0 but...Ch. 2 - Prob. 14QCh. 2 - What would be a suitable name for events connected...Ch. 2 - Prob. 16QCh. 2 - Prob. 17QCh. 2 - Explain how in the twin paradox, we might arrange...Ch. 2 - In each of the following pairs, which is the more...Ch. 2 - Prob. 20QCh. 2 - Prob. 21QCh. 2 - A salesman driving a very fast car was arrested...Ch. 2 - A salesman driving a very fast car was arrested...Ch. 2 - Show that the form of Newtons second law is...Ch. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - A swimmer wants to swim straight across a river...Ch. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prove that the constancy of the speed of light...Ch. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Two events occur in an inertial system K as...Ch. 2 - Is there a frame K in which the two events...Ch. 2 - Prob. 15PCh. 2 - An event occurs in system K at x = 2 m, y = 3.5 m,...Ch. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - A rocket ship carrying passengers blasts off to go...Ch. 2 - Prob. 20PCh. 2 - Particle physicists use particle track detectors...Ch. 2 - The Apollo astronauts returned from the moon under...Ch. 2 - A clock in a spaceship is observed to run at a...Ch. 2 - A spaceship of length 40 m at rest is observed to...Ch. 2 - Prob. 25PCh. 2 - A mechanism on Earth used to shoot down...Ch. 2 - Prob. 27PCh. 2 - Imagine that in another universe the speed of...Ch. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - A proton and an antiproton are moving toward each...Ch. 2 - Imagine the speed of light in another universe to...Ch. 2 - Prob. 34PCh. 2 - Three galaxies are aligned along an axis in the...Ch. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Consider a reference system placed at the U.S....Ch. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Use the Lorentz transformation to prove that s2 =...Ch. 2 - Prob. 42PCh. 2 - Prove that for a spacelike interval, two events...Ch. 2 - Given two events, (x1, t1) and (x2, t2), use a...Ch. 2 - Prob. 45PCh. 2 - Consider a fixed and a moving system with their...Ch. 2 - Prob. 47PCh. 2 - An astronaut is said to have tried to get out of a...Ch. 2 - Prob. 49PCh. 2 - Do the complete derivation for Equation (2.33)...Ch. 2 - A spacecraft traveling out of the solar system at...Ch. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Newtons second law is given by F=dp/dt. If the...Ch. 2 - Use the result of the previous problem to show...Ch. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - A particle having a speed of 0.92c has a momentum...Ch. 2 - A particle initially has a speed of 0.5c. At what...Ch. 2 - Prob. 61PCh. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 68PCh. 2 - Prob. 69PCh. 2 - Prob. 70PCh. 2 - What is the speed of an electron when its kinetic...Ch. 2 - Prob. 72PCh. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Calculate the energy needed to accelerate a...Ch. 2 - Prob. 77PCh. 2 - Prob. 78PCh. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - The Large Hadron Collider at Europes CERN facility...Ch. 2 - What is the kinetic energy of (a) an electron...Ch. 2 - A muon has a mass of 106 MeV/c2. Calculate the...Ch. 2 - Prob. 84PCh. 2 - The reaction 2H + 3H → n + 4He is one of the...Ch. 2 - Instead of one positive charge outside a...Ch. 2 - Prob. 87PCh. 2 - Show that the following form of Newton’s second...Ch. 2 - Prob. 89PCh. 2 - For the twins Frank and Mary described in Section...Ch. 2 - Frank and Mary are twins. Mary jumps on a...Ch. 2 - A police radar gun operates at a frequency of 10.5...Ch. 2 - Prob. 93PCh. 2 - Prob. 94PCh. 2 - A proton moves with a speed of 0.90c. Find the...Ch. 2 - A high-speed K0 meson is traveling at a speed of...Ch. 2 - Prob. 97PCh. 2 - The International Space Federation constructs a...Ch. 2 - Prob. 99PCh. 2 - Prob. 100PCh. 2 - A spaceship is coming directly toward you while...Ch. 2 - Quasars are among the most distant objects in the...Ch. 2 - One possible decay mode of the neutral kaon is K0...Ch. 2 - Prob. 104PCh. 2 - Prob. 105PCh. 2 - Small differences in the wavelengths in the sun’s...
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
- The reference frame S' moves relative to S with velocity u along the axis. Let va and v. denote the a component of the velocity vector of a particle in S and S', respectively, with a = x, y, z. Drive the expression of vy in terms of u, c, vr, vy. Hint: Start from the Lorentz coordinate transformation.arrow_forwardA particle has a lifetime of 91 nanoseconds (as measured in its own moving reference frame. It travels at a speed of 0.984c, where c is the speed of light. How far does it travel? Express your answer in meters and keep three significant digits.arrow_forwardA spacecraft leaves Earth at 75 percent light speed. An event occurs at (50,40,30,20) m of light-travel time in the spacecraft frame. What are the coordinates of the event as observed from Earth? $arrow_forward
- Suppose an astronaut is moving relative to Earth at a significant fraction of the speed of light. (a) Does he observe the rate of his to have slowed? (b) What change in the rate of earthbound does he see? (c) Does his ship seem to him to shorten? (d) What about the distance between two stars that lie in the direction of his motion? (e) Do he and an earthbound observer agree on his velocity relative to Earth?arrow_forwardHello! I have done this graph, and I need to know what is the equation of the curve that best fits my assumed flight path and interpret it. is it correct that the equation is the one showed in graph (y=-0.1489x2)? Please explain to me data points: (x and y coordinates) (0.8, 3), (1.5, 3.4), (2.1, 3.8), (2.5, 4), (3, 4.2), (3.7, 4.4), (4.3, 4.4), (5.2, 4.1), (6, 3.7) and (6.9, 3)arrow_forwardAn observer in a coasting spacecraft moves toward a mirror at speed v relative to the reference frame labeled S in the figure below. The mirror is stationary with respect to S. A light pulse emitted by the spacecraft travels toward the mirror and is reflected back to the spacecraft. The spacecraft is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the spacecraft. Mirror S (a) What is the total travel time of the pulse as measured by observers in the S frame? (Use the following as necessary: c, d, and v.) At = (b) What is the total travel time of the pulse as measured by observers in the spacecraft? (Use the following as necessary: c, d, and v.) At =arrow_forward
- As discussed in section R3.4, muons created in the upper atmosphere can sometimes reach the earth’s surface. Imagine that one such muon travels the 60 km from the upper atmosphere to the ground (in the earth’s frame) in one muon half-life of 1.52 us (in the muon’s frame). How thick is the portion of the earth’s atmosphere from the muon’s creation point to the ground in the muon’s frame? The book key gives an answer of 460 m. I'm having a hard time getting this result.arrow_forwardAs discussed in section R3.4, muons created in the upper atmosphere can sometimes reach the earth’s surface. Imagine that one such muon travels the 60 km from the upper atmosphere to the ground (in the earth’s frame) in one muon half-life of 1.52 us (in the muon’s frame). How thick is the portion of the earth’s atmosphere from the muon’s creation point to the ground in the muon’s frame?arrow_forwardThe answer is already shown, I am just confused about the steps. On part a, how does the 3.1447 go to 4.94Re? and then h=3.94Re and then 25097800m? On part b, where does the 2.5 come from? please solve in simpler steps, thank you.arrow_forward
- How might I answer Problem 4 in my Electromagnetism problem? In this course, we've used advanced math like Calculus 3 in order to compute things out. Before I quote Problem 4, I would need to quote Problem 3 because Problem 4 is an extension of 3. 3 reads, "Suppose you're at rest in the lab frame and an electron is moving along the x-direction at a speed of .999c. Compute its magnetic field in the lab frame." Now, Problem 4 reads, "What is the electric field that the lab observer sees for the electron in Problem 3?" I have some pictures that may help. I think that it's confusing because I'm thinking about what I would see vs. what an electron would see. In my notes, I have O', but I'm not sure if that is for the electron.arrow_forwardTwo atomic clocks are synchronized. One is placed on a satellite, which orbits around the earth at high speed for a whole year. The other is placed in a lab and remains at rest, with respect to the earth. You may assume that both clocks can measure time accurately to many significant digits. Imagine that the speed of light was much slower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning, using a calculation. I attached my answer but am not understanding why the variables are given the value of one, or what the answer represents.arrow_forwardA conductor carrying a current in a magnetic field experiences a force given by the Lorentz equation. It might be written q v * B where the velocity and the magnetic fields are vectors and their product is a vector cross product. In terms of current the charge is carried through a distance L in time t, and the current is the charge per time so the force is I L * B where again the vector cross product comes in and the current is I. How must the wire be oriented in the magnetic field so that it does not experience a force at all? There is no direction in which the force is zero. The wire has to be parallel to the field with the current going opposite to the field. The wire has to be parallel to the field with the current going in either direction in the wire. The wire has to be perpendicular to the fieldarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax