Problem 1Q: A rod is to move at constant speed v along the x axis of reference frame S, with the rods length... Problem 2Q: Figure 37-16 shows a ship attached to reference frame S' passing us standing in reference frame S. A... Problem 3Q: Reference frame S' is to pass reference frame S at speed v along the common direction of the x' and... Problem 4Q: Figure 37-17 shows two clocks in stationary frame S' they are synchronized in that frame and one... Problem 5Q: Figure 37-18 shows two clocks in stationary frame S they are synchronized in that frame and one... Problem 6Q: Sam leaves Venus in a spaceship headed to Mars and passes Sally, who is on Earth, with a relative... Problem 7Q: The plane of clocks and measuring rods in Fig. 37-19 is like that in Fig. 37-3. The clocks along the... Problem 8Q: The rest energy and total energy, respectively, of three particles, expressed in terms of a basic... Problem 9Q: Figure 37-20 shows the triangle of Fig 37-14 for six particles; the slanted lines 2 and 4 have the... Problem 10Q: While on board a starship, you intercept signals from four shuttle craft that are moving either... Problem 11Q: Figure 37-21 shows one of four star cruisers that are in a race. As each cruiser passes the starting... Problem 1P: The mean lifetime of stationary muons is measured to be 2.2000 s. The mean lifetime of high-speed... Problem 2P: To eight significant figures, what is speed parameter if the Lorentz factor is a 1.010 000 0, b... Problem 3P: You wish to make a round trip from Earth in a spaceship, traveling at constant speed in a straight... Problem 4P: Come back to the future. Suppose that a father is 20.00 y older than his daughter. He wants to... Problem 5P: ILW An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before... Problem 6P: GO Reference frame S' is to pass reference frame S at speed v along the common direction of the x'... Problem 7P: The premise of the Planet of the Apes movies and book is that hibernating astronauts travel far into... Problem 8P: An electron of = 0.999 987 moves along the axis of an evacuated tube that has a length of 3.00 m as... Problem 9P: SSM A spaceship of rest length 130 m races past a timing station at a speed of 0.740c. a What is the... Problem 10P: A meter stick in frame S' makes an angle of 30 with the x' axis. If that frame moves parallel to the... Problem 11P: A rod lies parallel to the x axis of reference frame S, moving along this axis at a speed of 0.630c.... Problem 12P: The length of a spaceship is measured to be exactly half its rest length, a To three significant... Problem 13P: GO A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is... Problem 14P: A rod is to move at constant speed v along the x axis of reference frame S, with the rods length... Problem 15P: GO The center of our Milky Way galaxy is about 23 000 ly away. a To eight significant figures, at... Problem 16P: Observer S reports that an event occurred on the x axis of his reference frame at x = 3.00 108 m at... Problem 17P: SSM WWW In Fig. 37-9, the origins of the two frames coincide at t = t' = 0 and the relative speed is... Problem 18P: Inertial frame S' moves at a speed of 0.60c with respect to frame S Fig. 37-9. Further, x = x' = 0... Problem 19P: An experimenter arranges to trigger two flashbulbs simultaneously, producing a big flash located at... Problem 20P: GO As in Fig. 37-9, reference frame S' passes reference frame S with a certain velocity. Events 1... Problem 21P: Relativistic reversal of events. Figures 37-25a and b show the usual situation in which a primed... Problem 22P: For the passing reference frames in Fig. 37-25, events A and B occur at the following spacetime... Problem 23P: ILW A clock moves along an x axis at a speed of 0.600c and reads zero as it passes the origin of the... Problem 24P: Bullwinkle in reference frame S' passes you in reference frame S along the common direction of the... Problem 25P: In Fig. 37-9, observer S detects two flashes of light. A big flash occurs at x1 = 1200 m and, 5.00 s... Problem 26P: In Fig. 37-9, observer 5 detects two flashes of light. A big flash occurs at x1 = 1200 m and,... Problem 27P: SSM A particle moves along the x' axis of frame S' with velocity 0.40c. Frame S' moves with velocity... Problem 28P Problem 29P: Galaxy A is reported to be receding from us with a speed of 0.35c. Galaxy B, located in precisely... Problem 30P: Stellar system Q1 moves away from us at a speed of 0.800c. Stellar system Q2, which lies in the same... Problem 31P: SSM WWW ILW A spaceship whose rest length is 350 m has a speed of 0.82c with respect to a certain... Problem 32P: GO In Fig. 37-26a, particle P is to move parallel to the x and x' axes of reference frames S and S',... Problem 33P: GO An armada of spaceships that is 1.00 ly long as measured in its rest frame moves with speed... Problem 34P: A sodium light source moves in a horizontal circle at a constant speed of 0.100c while emitting... Problem 35P: SSM A spaceship, moving away from Earth at a speed of 0.900c, reports back by transmitting at a... Problem 36P Problem 37P: Assuming that Eq. 37-36 holds, find how fast you would have to go through a red light to have it... Problem 38P: Figure 37-27 is a graph of intensity versus wavelength for light reaching Earth from galaxy NGC... Problem 39P: SSM A spaceship is moving away from Earth at speed 0.20c. A source on the rear of the ship emits... Problem 40P: How much work must be done to increase the speed of an electron from rest to a 0.500c, b 0.990c, and... Problem 41P: SSM WWW The mass of an electron is 9.109 381 88 1031 kg. To six significant figures, find a and b ... Problem 42P Problem 43P: How much work must be done to increase the speed of an electron a from 0.18c to 0.19c and b from... Problem 44P: In the reaction p 19F 16O, the masses are mp = 1.007825 u,m = 4.002603 u, mF = 18.998405 u,mO =... Problem 45P: In a high-energy collision between a cosmic-ray particle and a particle near the top of Earths... Problem 46P Problem 47P Problem 48P: GO The mass of a muon is 207 times the electron mass; the average lifetime of muons at rest is 2.20... Problem 49P: GO As you read this page on paper or monitor screen, a cosmic ray proton passes along the leftright... Problem 50P: To four significant figures, find the following when the kinetic energy is 10.00 MeV: a and b for... Problem 51P: ILW What must be the momentum of a particle with mass m so that the total energy of the particle is... Problem 52P: Apply the binomial theorem Appendix E to the last part of Eq. 37-52 for the kinetic energy of a... Problem 53P Problem 54P: GO What is for a particle with a K = 2.00E0 and b E = 2.00 E0? Problem 55P Problem 56P: a The energy released in the explosion of 1.00 mol of TNT is 3.40 MJ. The molar mass of TNT is 0.227... Problem 57P: Quasars are thought to be the nuclei of active galaxies in the early stages of their formation. A... Problem 58P: The mass of an electron is 9.109 381 88 1031 kg. To eight significant figures, find the following... Problem 59P: GO An alpha particle with kinetic energy 7.70 MeV collides with an 14N nucleus at rest, and the two... Problem 60P: Temporal separation between two events. Events A and B occur with the following spacetime... Problem 61P: Spatial separation between two events. For the passing reference frames of Fig. 37-25, events A and... Problem 62P: GO In Fig. 37-28a, particle P is to move parallel to the x; and x' axes of reference frames S and... Problem 63P: Superluminal jets. Figure 37-29a shows the path taken by a knot in a jet of ionized gas that has... Problem 64P: GO Reference frame S' passes reference frame S with a certain velocity as in Fig. 37-9. Events 1 and... Problem 65P: Another approach to velocity transformations. In Fig. 37-31, reference frames B and C move past... Problem 66P: Continuation of Problem 65. Use the result of part b in Problem 65 for the motion along a single... Problem 67P: Continuation of Problem 65. Let reference frame C in Fig. 37-31 move past reference frame D not... Problem 68P: Figure 37-16 shows a ship attached to reference frame S' passing us standing in reference frame S... Problem 69P Problem 70P: An airplane has rest length 40.0 m and speed 630 m/s. To a ground observer, a by what fraction is... Problem 71P: SSM To circle Earth in low orbit, a satellite must have a speed of about 2.7 104 km/h. Suppose that... Problem 72P Problem 73P: SSM How much work is needed to accelerate a proton from a speed of 0.9850c to a speed of 0.9860c? Problem 74P: A pion is created in the higher reaches of Earths atmosphere when an incoming high-energy cosmic-ray... Problem 75P: SSM If we intercept an electron having total energy 1533 MeV that came from Vega, which is 26 ly... Problem 76P Problem 77P: A spaceship at rest in a certain reference frame S is given a speed increment of 0.50c. Relative to... Problem 78P Problem 79P: SSM What is the momentum in MeV/c of an electron with a kinetic energy of 2.00 MeV? Problem 80P: The radius of Earth is 6370 km, and its orbital speed about the Sun is 30 km/s. Suppose Earth moves... Problem 81P: A particle with mass m has speed c/2 relative to inertial frame S. The particle collides with an... Problem 82P: An elementary particle produced in a laboratory experiment travels 0.230 mm through the lab at a... Problem 83P: What are a K, b E, and c p in GeV/c for a proton moving at speed 0.990c? What are d K, e E, and f p... Problem 84P Problem 85P: One cosmic-ray particle approaches northsouth axis with a speed of 0.80c toward the geographic north... Problem 86P: How much energy is released in the explosion of a fission bomb containing 3.0 kg of fissionable... Problem 87P: What potential difference would accelerate an electron to speed c according to classical physics? b... Problem 88P: A Foron cruiser moving directly toward a Reptulian scout ship fires a decoy toward the scout ship.... Problem 89P: In Fig. 37-35, three spaceships are in a chase. Relative to an x axis in an inertial frame say,... Problem 90P: Space cruisers A and B are moving parallel to the positive direction of an x axis. Cruiser A is... Problem 91P: In Fig. 37-36, two cruisers fly toward a space station. Relative to the station, cruiser A has speed... Problem 92P: A relativistic train of proper length 200 m approaches a tunnel of the same proper length, at a... Problem 93P: Particle A with rest energy 200 MeV is at rest in a lab frame when it decays to particle B rest... Problem 94P: Figure 37-37 shows three situations in which a starship passes Earth the dot and then makes a round... Problem 95P: Ionization measurements show that a particular lightweight nuclear particle carries a double charge... Problem 96P Problem 97P Problem 98P: An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he ezxercise for... Problem 99P: A spaceship approaches Earth at a speed of 0.42c. A light on the front of the ship appears red... Problem 100P Problem 101P: In one year the United States consumption of electrical energy was about 2.2 1012 kW h. a How much... Problem 102P: Quite apart from effects due to Earths rotational and orbital motions, a laboratory reference frame... Problem 103P format_list_bulleted