1 Units, Physical Quantities, And Vectors 2 Motion Along A Straight Line 3 Motion In Two Or Three Dimensions 4 Newton’s Laws Of Motion 5 Applying Newton’s Laws 6 Work And Kinetic Energy 7 Potential Energy And Energy Conservation 8 Momentum, Impulse, And Collisions 9 Rotation Of Rigid Bodies 10 Dynamics Of Rotational Motion 11 Equilibrium And Elasticity 12 Fluid Mechanics 13 Gravitation 14 Periodic Motion 15 Mechanical Waves 16 Sound And Hearing 17 Temperature And Heat 18 Thermal Properties Of Matter 19 The First Law Of Thermodynamics 20 The Second Law Of Thermodynamics 21 Electric Charge And Electric Field 22 Gauss’s Law 23 Electric Potential 24 Capacitance And Dielectrics 25 Current, Resistance, And Electromotive Force 26 Direct-current Circuits 27 Magnetic Field And Magnetic Forces 28 Sources Of Magnetic Field 29 Electromagnetic Induction 30 Inductance 31 Alternating Current 32 Electromagnetic Waves 33 The Nature And Propagation Of Light 34 Geometric Optics 35 Interference 36 Diffraction 37 Relativity 38 Photons: Light Waves Behaving As Particles 39 Particles Behaving As Waves 40 Quantum Mechanics I: Wave Functions 41 Quantum Mechanics Ii: Atomic Structure 42 Molecules And Condensed Matter 43 Nuclear Physics 44 Particle Physics And Cosmology expand_more
37.1 Invariance Of Physical Laws 37.2 Relativity Of Simultaneity 37.3 Relativity Of Time Intervals 37.4 Relativity Of Length 37.5 The Lorentz Transformations 37.6 The Doppler Effect For Electromagnetic Waves 37.7 Relativistic Momentum 37.8 Relativistic Work And Energy 37.9 Newtonian Mechanics And Relativity Chapter Questions expand_more
Problem 37.1DQ: You are standing on a train platform watching a high-speed train pass by. A light inside one of the... Problem 37.2DQ: If simultaneity is not an absolute concept, does that mean that we must discard the concept of... Problem 37.3DQ: A rocket is moving to the right at 12 the speed of light relative to the earth. A light bulb in the... Problem 37.4DQ: A spaceship is traveling toward the earth from the space colony on Asteroid 1040A. The ship is at... Problem 37.5DQ: The average life span in the United States is about 70 years. Does this mean that it is impossible... Problem 37.6DQ Problem 37.7DQ: Two events occur at the same space point in a particular inertial frame of reference and are... Problem 37.8DQ: A high-speed train passes a train platform. Larry is a passenger on the train, Adam is standing on... Problem 37.9DQ Problem 37.10DQ: A student asserts that a material particle must always have a speed slower than that of light, and a... Problem 37.11DQ: The speed of light relative to still water is 2.25 108 m/s. If the water is moving past us, the... Problem 37.12DQ Problem 37.13DQ Problem 37.14DQ: Why do you think the development of Newtonian mechanics preceded the more refined relativistic... Problem 37.15DQ: What do you think would be different in everyday life if the speed of light were 10 m/s instead of... Problem 37.1E: Suppose the two lightning bolts shown in Fig. 37.5a are simultaneous to an observer on the train.... Problem 37.2E: The positive muon (), an unstable particle, lives on average 2.20 106s (measured in its own frame... Problem 37.3E: How fast must a rocket travel relative to the earth so that time in the rocket slows down to half... Problem 37.4E: A spaceship flies past Mars with a speed of 0.985c relative to the surface of the planet. When the... Problem 37.5E: The negative pion () is an unstable particle with an average lifetime of 2.60 108s (measured in the... Problem 37.6E: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past... Problem 37.7E: A spacecraft flies away from the earth with a speed of 4.80 106 m/s relative to the earth and then... Problem 37.8E: An alien spacecraft is flying overhead at a great distance as you stand in your backyard. You see... Problem 37.9E: A spacecraft of the Trade Federation rites past the planet Coruscant at a speed of 0.600c. A... Problem 37.10E: A meter stick moves past you at great speed. Its motion relative to you is parallel to its long... Problem 37.11E: Why Are We Bombarded by Muons? Muons are unstable subatomic particles that decay to electrons with a... Problem 37.12E: An unstable particle is created in the upper atmosphere from a cosmic ray and travels straight down... Problem 37.13E: As measured by an observer on the earth, a spacecraft runway on earth has a length of 3600 m. (a)... Problem 37.14E: A rocket ship flies past the earth at 91.0% of the speed of light. Inside, an astronaut who is... Problem 37.15E: An observer in frame S is moving to the right (+x-direction) at speed u = 0.600c away from a... Problem 37.16E: Space pilot Mavis zips past Stanley at a constant speed relative to him of 0.800c. Mavis and Stanley... Problem 37.17E: A pursuit spacecraft from the planet Tatooine is attempting to catch up with a Trade Federation... Problem 37.18E: An enemy spaceship is moving toward your starfighter with a speed, as measured in your frame, of... Problem 37.19E: Two particles are created in a high-energy accelerator and move off in opposite directions. The... Problem 37.20E: Two particles in a high-energy accelerator experiment are approaching each other head-on, each with... Problem 37.21E: Two particles in a high-energy accelerator experiment approach each other head-on with a relative... Problem 37.22E: An imperial spaceship, moving at high speed relative to the planet Arrakis, fires a rocket toward... Problem 37.23E: Tell It to the Judge. (a) How fast must you be approaching a red traffic light ( = 675 nm) for it to... Problem 37.24E: Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving... Problem 37.25E: A source of electromagnetic radiation is moving in a radial direction relative to you. The frequency... Problem 37.26E: Relativistic Baseball. Calculate the magnitude of the force required to give a 0.145-kg baseball an... Problem 37.27E: A proton has momentum with magnitude p0 when its speed is 0.400c. In terms of p0, what is the... Problem 37.28E: When Should You Use Relativity? As you have seen, relativistic calculations usually involve the... Problem 37.29E Problem 37.30E: An electron is acted upon by a force of 5.00 1015 N due to an electric field. Find the acceleration... Problem 37.31E: What is the speed of a particle whose kinetic energy equal to (a) its rest energy and (b) five times... Problem 37.32E: If a muon is traveling at 0.999c, what are its momentum and kinetic energy? (The mass of such a muon... Problem 37.33E: A proton (rest mass 1.67 1027 kg) has total energy that is 4.00 times its rest energy. What are (a)... Problem 37.34E: (a) How much work must be done on a particle with mass m to accelerate it (a) from rest to a speed... Problem 37.35E: An Antimatter Reactor. When a particle meets its antiparticle, they annihilate each other and their... Problem 37.36E: Electrons are accelerated through a potential difference of 750 kV, so that their kinetic energy is... Problem 37.37E: A particle has rest mass 6.64 1027 kg and momentum 2.10 1018kgm/s. (a) What is the total energy... Problem 37.38E: Creating a Particle. Two protons (each with rest mass M = 1.67 1027kg) are initially moving with... Problem 37.39E: Compute the kinetic energy of a proton (mass 1.67 1027 kg) using both the nonrelativistic and... Problem 37.40E: What is the kinetic energy of a proton moving at (a) 0.100c; (b) 0.500c; (c) 0.900c? How much work... Problem 37.41E: (a) Through what potential difference does an electron have to be accelerated, starting from rest,... Problem 37.42E Problem 37.43P: After being produced in a collision between elementary particles, a positive pion (+) must travel... Problem 37.44P: Inside a spaceship flying past the earth at three-fourths the speed of light, a pendulum is... Problem 37.45P: The starships of the Solar Federation are marked with the symbol of the federation, a circle, while... Problem 37.46P: A cube of metal with sides of length a sits at rest in a frame S with one edge parallel to the... Problem 37.47P: A space probe is sent to the vicinity of the star Capella, which is 42.2 light-years from the earth.... Problem 37.48P: A muon is created 55.0 km above the surface of the earth (as measured in the earths frame). The... Problem 37.49P: The Large Hadron Collider (LHC). Physicists and engineers from around the world came together to... Problem 37.50P: The net force F on a particle of mass m is directed at 30.0 counterclockwise from the +x-axis. At... Problem 37.51P: Everyday Time Dilation. Two atomic clocks are carefully synchronized. One remains in New York, and... Problem 37.52P: The distance to a particular star, as measured in the earths frame of reference, is 7.11 light-years... Problem 37.53P: CP erenkov Radiation. The Russian physicist P A. erenkov discovered that a charged particle... Problem 37.54P Problem 37.55P: CP A nuclear bomb containing 12.0 kg of plutonium explodes. The sum of the rest masses of the... Problem 37.56P: In the earths rest frame, two protons are moving away from each other at equal speed. In the frame... Problem 37.57P: In certain radioactive beta decay processes, the beta particle (an electron) leaves the atomic... Problem 37.58P: Two events are observed in a frame of reference S to occur at the same space point, the second... Problem 37.59P: One of the wavelengths of light emitted by hydrogen atoms under normal laboratory conditions is =... Problem 37.60P: Albert in Wonderland. Einstein and Lorentz, being avid tennis players, play a fast-paced game on a... Problem 37.61P: Measuring Speed by Radar. A baseball coach uses a radar device to measure the speed of an... Problem 37.62P Problem 37.63P: CP In a particle accelerator a proton moves with constant speed 0.750c in a circle of radius 628 m.... Problem 37.64P: CP The French physicist Armand Fizeau was the first to measure the speed of light accurately. He... Problem 37.65P: DATA As a research scientist at a linear accelerator, you are studying an unstable particle. You... Problem 37.66P Problem 37.67P: DATA You are a scientist studying small aerosol particles that are contained in a vacuum chamber.... Problem 37.68CP: CP Determining the Masses of Stars. Many of the stars in the sky are actually binary stars, in which... Problem 37.69CP: CP Kaon Production. In high-energy physics, new particles can be created by collisions of... Problem 37.70CP Problem 37.71PP: An airplane has a length of 60 m when measured at rest. When the airplane is moving at 180 m/s (400... Problem 37.72PP: If the airplane of Passage Problem 37.71 has a rest mass of 20,000 kg, what is its relativistic mass... Problem 37.73PP: In our universe, the rest energy of an electron is approximately 8.2 1014 J. What would it be in... Problem 37.74PP: In the alternate universe, how fast must an object be moving for it to have a kinetic energy equal... format_list_bulleted