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Modern Physics for Scientists and Engin...

4th Edition

Stephen T. Thornton, Andrew Rex

Publisher: Cengage Learning

ISBN: 9781133103721

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Chapter

Section

Problem 1Q:

Michelson used the motion of the Earth around the sun to try to determine the effects of the ether....

Problem 2Q:

If you wanted to set out today to find the effects of the ether, what experimental apparatus would...

Problem 3Q:

For what reasons would Michelson and Morley repeat their experiment on top of a mountain? Why would...

Problem 4Q:

Does the fact that Maxwells equations do not need to be modified because of the special theory of...

Problem 5Q:

The special theory of relativity has what effect on measurements done today? (a) None whatsoever,...

Problem 6Q:

Why did it take so long to discover the theory of relativity? Why didnt Newton figure it out?

Problem 7Q:

Can you think of a way you can make yourself older than those born on your same birthday?

Problem 8Q:

Will metersticks manufactured on Earth work correctly on spaceships moving at high speed? Explain.

Problem 9Q:

Devise a system for you and three colleagues, at rest with you, to synchronize your clocks if your...

Problem 10Q:

In the experiment to verify time dilation by flying the cesium clocks around the Earth, what is the...

Problem 12Q:

Would it be easier to perform the muon decay experiment in the space station orbiting above Earth...

Problem 13Q:

On a spacetime diagram, can events above t = 0 but not in the shaded area in Figure 2.25 affect the...

Problem 16Q:

Is the relativistic Doppler effect valid only for light waves? Can you think of another situation in...

Problem 18Q:

Explain how in the twin paradox, we might arrange to compare clocks at the beginning and end of...

Problem 19Q:

In each of the following pairs, which is the more massive: a relaxed or compressed spring, a charged...

Problem 20Q:

In the fission of 235U, the masses of the final products are less than the mass of 235U. Does this...

Problem 21Q:

In the fusion of deuterium and tritium nuclei to produce a thermonuclear reaction, where does the...

Problem 22Q:

A salesman driving a very fast car was arrested for driving through a traffic light while it was...

Problem 23Q:

A salesman driving a very fast car was arrested for driving through a traffic light while it was...

Problem 1P:

Show that the form of Newtons second law is invariant under the Galilean transformation.

Problem 2P:

Show that the definition of linear momentum, p = mv, has the same form p = mv under a Galilean...

Problem 3P:

Show that the equation for t2 in Section 2.2 expresses the time required for the light to travel to...

Problem 4P:

A swimmer wants to swim straight across a river with current flowing at a speed of v1 = 0.350 m/s....

Problem 5P:

Show that the time difference t given by Equation (2.4) is correct when the Michelson interferometer...

Problem 6P:

In the 1887 experiment by Michelson and Morley, the length of each arm was 11 m. The experimental...

Problem 7P:

Show that if length is contracted by the factor 12/c2 in the direction of motion, then the result in...

Problem 8P:

Explain why Einstein argued that the constancy of the speed of light (postulate 2) actually follows...

Problem 9P:

Prove that the constancy of the speed of light (postulate 2) is inconsistent with the Galilean...

Problem 10P:

Use the spherical wavefronts of Equations (2.9) to derive the Lorentz transformation given in...

Problem 11P:

Show that if length is contracted by the factor 12/c2 in the direction of motion, then the result in...

Problem 12P:

Determine the ratio = /c for the following: (a) A car traveling 95 km/h. (b) A commercial jet...

Problem 13P:

Two events occur in an inertial system K as follows: Event 1: x1 = a, t1 = 2a/c, y1 = 0, z1 = 0...

Problem 14P:

Is there a frame K in which the two events described in Problem 13 occur at the same place? Explain....

Problem 15P:

Find the relativistic factor for each of the parts Problem 12. Determine the ratio = v/c for the...

Problem 16P:

An event occurs in system K at x = 2 m, y = 3.5 m, z = 3.5 m, and t = 0. System K and K have their...

Problem 17P:

A light signal is sent from the origin of a system K at t = 0 to the point x |= 3 m, y = 5 m, z = 10...

Problem 18P:

Show that the experiment depicted in Figure 2.11 and discussed in the text leads directly to the...

Problem 19P:

A rocket ship carrying passengers blasts off to go from New York to Los Angeles, a distance of about...

Problem 20P:

Astronomers discover a planet orbiting around a star similar to our sun that is 20 lightyears away....

Problem 21P:

Particle physicists use particle track detectors to determine the lifetime of short-lived particles....

Problem 22P:

The Apollo astronauts returned from the moon under the Earths gravitational force and reached speeds...

Problem 23P:

A clock in a spaceship is observed to run at a speed of only 3/5 that of a similar clock at rest on...

Problem 24P:

A spaceship of length 40 m at rest is observed to be 20 m long when in motion. How fast is it...

Problem 25P:

The Concorde traveled 8000 km between two places in North America and Europe at an average speed of...

Problem 26P:

A mechanism on Earth used to shoot down geosynchronous satellites that house laser-based weapons is...

Problem 27P:

Two events occur in an inertial system K at the same time but 4 km apart. What is the time...

Problem 28P:

Imagine that in another universe the speed of light is only 100 m/s. (a) A person traveling along an...

Problem 29P:

In another universe where the speed of light is only 100 m/s, an airplane that is 40 m long at rest...

Problem 30P:

Two systems K and K synchronize their clocks at t = t = 0 when their origins are aligned as system K...

Problem 31P:

A spaceship is moving at a speed of 0.84c away from an observer at rest. A boy in the spaceship...

Problem 32P:

A proton and an antiproton are moving toward each other in a head-on collision. If each has a speed...

Problem 33P:

Imagine the speed of light in another universe to be only 100 m/s. Two cars are traveling along an...

Problem 34P:

In the Fizeau experiment described in Example 2.5, suppose that the water is flowing at a speed of 5...

Problem 35P:

Three galaxies are aligned along an axis in the order A, B, C. An observer in galaxy B is in the...

Problem 36P:

Consider the gedanken experiment discussed in Section 2.6 in which a giant floodlight stationed 400...

Problem 37P:

A group of scientists decide to repeat the muon decay experiment at the Mauna Kea telescope site in...

Problem 38P:

Consider a reference system placed at the U.S. Naval Observatory in Washington, D.C. Two planes take...

Problem 39P:

Derive the results in Table 2.1 for the frequencies f and f. During what time period do Frank and...

Problem 40P:

Derive the results in Table 2.1 for the time of the total trip and the total number of signals sent...

Problem 42P:

Prove that for a timelike interval, two events can never be considered to occur simultaneously.

Problem 43P:

Prove that for a spacelike interval, two events cannot occur at the same place in space.

Problem 44P:

Given two events, (x1, t1) and (x2, t2), use a spacetime diagram to find the speed of a frame of...

Problem 45P:

(a) Draw on a spacetime diagram in the fixed system a line expressing all the events in the moving...

Problem 46P:

Consider a fixed and a moving system with their clocks synchronized and their origins aligned at t =...

Problem 47P:

Use the results of the two previous problems to show that events simultaneous in one system are not...

Problem 48P:

An astronaut is said to have tried to get out of a traffic violation for running a red light ( = 650...

Problem 49P:

Derive Equation (2.32) for the case where the source .is fixed but the receiver approaches it with...

Problem 50P:

Do the complete derivation for Equation (2.33) when the source and receiver are receding with...

Problem 51P:

A spacecraft traveling out of the solar system at a speed of 0.95c sends back information at a rate...

Problem 52P:

Three radio-equipped plumbing vans are broadcasting on the same frequency f0. Van 1 is moving east...

Problem 53P:

Three radio-equipped plumbing vans are broadcasting on the same frequency f0. Van 1 is moving north...

Problem 54P:

A spaceship moves radially away from Earth with acceleration 29.4 m/s2 (about 3g). How much time...

Problem 55P:

Newtons second law is given by F=dp/dt. If the force is always perpendicular to the velocity, show...

Problem 56P:

Use the result of the previous problem to show that the radius of a particles circular path having...

Problem 57P:

Newtons second law is given by F=dp/dt. If the force is always parallel to the velocity, show that...

Problem 58P:

Find the force necessary to give a proton an acceleration of 1019 m/s2 when the proton has a...

Problem 60P:

A particle initially has a speed of 0.5c. At what speed does its momentum increase by (a) 1%, (b)...

Problem 61P:

The Bevatron accelerator at the Lawrence Berkeley Laboratory accelerated protons to a kinetic energy...

Problem 64P:

How much ice must melt at 0C in order to gain 2 g of mass? Where does this mass come from? The heat...

Problem 65P:

Physicists at the Stanford Linear Accelerator Center (SLAC) bombarded 9-GeV electrons head-on with...

Problem 66P:

The Tevatron accelerator at the Fermi National Accelerator Laboratory (Fermilab) outside Chicago...

Problem 67P:

Calculate the momentum, kinetic energy, and total energy of an electron traveling at a speed of (a)...

Problem 68P:

The total energy of a body is found to be twice its rest energy. How fast is it moving with respect...

Problem 69P:

A system is devised to exert a constant force of 8 N on an 80-kg body of mass initially at rest. The...

Problem 70P:

What is the speed of a proton when its kinetic energy is equal to twice its rest energy?

Problem 71P:

What is the speed of an electron when its kinetic energy is (a) 10% of its rest energy, (b) equal to...

Problem 72P:

Derive the following equation: =c=1(E0E0+K)2

Problem 73P:

Prove that = pc/E. This is a useful relation to find the velocity of a highly energetic particle.

Problem 74P:

A good rule of thumb is to use relativistic equations whenever the kinetic energies determined...

Problem 75P:

How much mass-energy (in joules) is contained in a peanut weighing 0.1 ounce? How much mass-energy...

Problem 76P:

Calculate the energy needed to accelerate a spaceship of mass 10,000 kg to a speed of 0.3c for...

Problem 77P:

Derive Equation (2.58) for the relativistic kinetic energy and show all the steps, especially the...

Problem 78P:

A test automobile of mass 1000 kg moving at high speed crashes into a wall. The average temperature...

Problem 80P:

A free neutron is an unstable particle and beta decays into a proton with the emission of an...

Problem 81P:

The Large Hadron Collider at Europes CERN facility is designed to produce 7.0 TeV (that is, 7.0 ...

Problem 82P:

What is the kinetic energy of (a) an electron having a momentum of 40 GeV/c? (b) a proton having a...

Problem 83P:

A muon has a mass of 106 MeV/c2. Calculate the speed, momentum, and total energy of a 200-MeV muon.

Problem 84P:

The reaction 2H + 2H → n + 3He (where n is a neutron) is one of the reactions useful for producing...

Problem 85P:

The reaction 2H + 3H → n + 4He is one of the reactions useful for producing energy through nuclear...

Problem 86P:

Instead of one positive charge outside a conducting wire, as was discussed in Section 2.14 and shown...

Problem 87P:

An Ω− particle has rest energy 1672 MeV and mean lifetime 8.2 × 10−11 s. It is created and decays in...

Problem 88P:

Show that the following form of Newton’s second law satisfies the Lorentz transformation. Assume the...

Problem 89P:

Use the results listed in Table 2.1 to find (a) the number of signals Frank receives at the rate f′...

Problem 90P:

For the twins Frank and Mary described in Section 2.8, consider Mary’s one-way trip at a speed of...

Problem 91P:

Frank and Mary are twins. Mary jumps on a spaceship and goes to the star system Alpha Centauri (4.30...

Problem 92P:

A police radar gun operates at a frequency of 10.5 GHz. The officer, sitting in a patrol car at rest...

Problem 93P:

A spaceship moving 0.80c direction away from Earth fires a missile that the spaceship measures to be...

Problem 94P:

An electron has a total energy that is 250 times its rest energy. Determine its (a) kinetic energy,...

Problem 95P:

A proton moves with a speed of 0.90c. Find the speed of an electron that has (a) the same momentum...

Problem 96P:

A high-speed K0 meson is traveling at a speed of 0.90c when it decays into a π+ and a π− meson. What...

Problem 97P:

Frank and Mary are twins, and Mary wants to travel to our nearest star system, Alpha Centauri (4.30...

Problem 98P:

The International Space Federation constructs a new spaceship that can travel at a speed of 0.995c....

Problem 99P:

A powerful laser on Earth rotates its laser beam in a circle at a frequency of 0.030 Hz. (a) How...

Problem 100P:

The Lockheed SR-71 Blackbird may be the fastest non-research airplane ever built; it traveled at...

Problem 101P:

A spaceship is coming directly toward you while you are in the International Space Station. You are...

Problem 102P:

Quasars are among the most distant objects in the universe and are moving away from us at very high...

Problem 103P:

One possible decay mode of the neutral kaon is K0 → π0 + π0. The rest energies of the K0 and π0 are...

Problem 104P:

The sun radiates energy at a rate of 3.9 × 1026 W. (a) At what rate is the sun losing mass? (b) At...

Learn about the latest discoveries in physics with MODERN PHYSICS. This book offers a contemporary and comprehensive approach to physics with a strong emphasis on applications to help you see how concepts in the book relate to the real world. Discussions on the experiments that led to certain key discoveries illustrate the process behind scientific advances and give you a historical perspective. The book also provides a solid foundation in quantum theory to help you understand more advanced physics concepts.

We offer sample solutions for Modern Physics for Scientists and Engineers homework problems. See examples below:

Michelson used the motion of the Earth around the sun to try to determine the effects of the ether....How did the ionization of gas by cathode rays prevent H. Hertz from discovering the true character...Thomson himself was perhaps the biggest critic of the model referred to as “plum pudding.” He tried...

Corresponding editions of this textbook are also available below:

Modern Physics for Scientists and Engineers

4 Edition

ISBN: 9781133103721

Modern Physics For Scientists And Engineers

4 Edition

ISBN: 9781133111863

EBK MODERN PHYSICS FOR SCIENTISTS AND E

4 Edition

ISBN: 9780100451520

MODERN PHYSICS F/SCIENTISTS+ENGR-EBK>I<

4 Edition

ISBN: 9781133878568

EBK MODERN PHYSICS FOR SCIENTISTS AND E

4 Edition

ISBN: 9781133712237

Modern Physics for Scientists and Engineers

3 Edition

ISBN: 9780534417819

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