 36.36.1: A spaceship passes you at a speed of 0.850c. You measureits length ...
 36.36.2: A certain type of elementary particle travels at a speedof 2.70 X 1...
 36.36.3: According to the special theory of relativity, the factor 7that det...
 36.36.4: If you were to travel to a star 135 lightyears from Earthat a spee...
 36.36.5: What is the speed of a pion if its average lifetime ismeasured to b...
 36.36.6: In an Earth reference frame, a star is 56 lightyearsaway. How fast...
 36.36.7: Suppose you decide to travel to a star 65 lightyearsaway at a spee...
 36.36.8: At what speed v will the length of a 1.00m stick look10.0% shorter...
 36.36.9: Escape velocity from the Earth is 11.2 km/s. Whatwould be the perce...
 36.36.10: A friend speeds by you in her spacecraft at a speed of0.760c. It is...
 36.36.11: At what speed do the relativistic formulas for (a) lengthand (ib) t...
 36.36.12: A certain star is 18.6 lightyears away. How long would ittake a sp...
 36.36.13: Suppose a news report stated that starship Enterprisehad just retur...
 36.36.14: An unstable particle produced in an accelerator experimenttravels a...
 36.36.15: When it is stationary, the halflife of a certain subatomicparticle...
 36.36.16: In its own reference frame, a box has the shape of a cube2.0 m on a...
 36.36.17: When at rest, a spaceship has the form of an isoscelestriangle whos...
 36.36.18: How fast must a pion be moving on average to travel 25 mbefore it d...
 36.36.19: An observer on Earth sees an alien vessel approach ata speed of 0.6...
 36.36.20: Suppose in Fig. 3611 that the origins of S and S' overlapat t = t'...
 36.36.21: Repeat using the Lorentz transformationand a relative speed v = 1.8...
 36.36.22: In 21, suppose that the person moves with avelocity whose component...
 36.36.23: Two spaceships leave Earth in opposite directions, eachwith a speed...
 36.36.24: Reference frame S' moves at speed v = 0.92c in the +xdirection with...
 36.36.25: A spaceship leaves Earth traveling at 0.61c. A secondspaceship leav...
 36.36.26: Your spaceship, traveling at 0.90c, needs to launch aprobe out the ...
 36.36.27: A spaceship traveling at 0.76c away from Earth fires amodule with a...
 36.36.28: If a particle moves in the xy plane of system S(Fig. 3611) with sp...
 36.36.29: A stick of length 0, at rest in reference frame S, makesan angle 0 ...
 36.36.30: In the old West, a marshal riding on a train traveling35.0 m/s sees...
 36.36.31: Two lightbulbs, A and B, are placed at rest on the x axisat positio...
 36.36.32: An observer in reference frame S notes that two eventsare separated...
 36.36.33: A farm boy studying physics believes that he can fit a12.0m long p...
 36.36.34: What is the momentum of a proton traveling at v = 0.75c?
 36.36.35: (a) A particle travels at v = 0.10c. By what percentagewill a calcu...
 36.36.36: A particle of mass m travels at a speed v = 0.26c. Atwhat speed wil...
 36.36.37: An unstable particle is at rest and suddenly decays into twofragmen...
 36.36.38: What is the percent change in momentum of a proton thataccelerates ...
 36.36.39: Calculate the rest energy of an electron in joules and inMeV (1 MeV...
 36.36.40: When a uranium nucleus at rest breaks apart in theprocess known as ...
 36.36.41: The total annual energy consumption in the UnitedStates is about 8 ...
 36.36.42: Calculate the mass of a proton in MeV/c2.
 36.36.43: Suppose there was a process by which two photons,each with momentum...
 36.36.44: (a) How much work is required to accelerate a protonfrom rest up to...
 36.36.45: How much energy can be obtained from conversion of1.0 gram of mass?...
 36.36.46: To accelerate a particle of mass m from rest to speed 0.90crequires...
 36.36.47: What is the speed of a particle when its kinetic energyequals its r...
 36.36.48: What is the momentum of a 950MeV proton (that is, itskinetic energ...
 36.36.49: Calculate the kinetic energy and momentum of aproton traveling 2.80...
 36.36.50: What is the speed of an electron whose kinetic energy is1.25 MeV?
 36.36.51: What is the speed of a proton accelerated by a potentialdifference ...
 36.36.52: Two identical particles of mass ra approach each otherat equal and ...
 36.36.53: What is the speed of an electron just before it hits atelevision sc...
 36.36.54: "The kinetic energy of a particle is 45 MeV. If themomentum is 14 M...
 36.36.55: Calculate the speed of a proton (ra = 1.67 X 1027 kg)whose kinetic ...
 36.36.56: Calculate the kinetic energy and momentum of aproton (ra = 1.67 X 1...
 36.36.57: Suppose a spacecraft of mass 17,000 kg is accelerated to0.18c. (a) ...
 36.36.58: What magnetic field B is needed to keep 998GeV protonsrevolving in...
 36.36.59: The americium nucleus, ^A m , decays to a neptuniumnucleus, 293Np, ...
 36.36.60: Make a graph of the kinetic energy versus momentumfor (a) a particl...
 36.36.61: A negative muon traveling at 43% the speed of lightcollides head on...
 36.36.62: Show that the kinetic energy K of a particle ofmass ra is related t...
 36.36.63: (a) In reference frame S, a particle has momentump = px\ along the ...
 36.36.64: A certain galaxy has a Doppler shift given byfo f = 0.697/o, How fa...
 36.36.65: A spaceship moving toward Earth at 0.70c transmitsradio signals at ...
 36.36.66: Starting from Eq. 3615a, show that the Doppler shiftin wavelength ...
 36.36.67: A radar speed gun emits microwaves of frequencyfo = 36.0 GHz. When ...
 36.36.68: A certain atom emits light of frequency / 0 when at rest.A monatomi...
 36.36.69: An atomic clock is taken to the North Pole, while anotherstays at t...
 36.36.70: A spaceship in distress sends out two escape pods in oppositedirect...
 36.36.71: An airplane travels 1300 km/h around the Earth in a circleof radius...
 36.36.72: The nearest star to Earth is Proxima Centauri, 4.3 lightyearsaway, ...
 36.36.73: A quasar emits familiar hydrogen lines whose wavelengthsare 2.5 ti...
 36.36.74: A healthy astronauts heart rate is 60beats/min. Flightdoctors on Ea...
 36.36.75: A spacecraft (reference frame S') moves past Earth (referenceframe ...
 36.36.76: Rocket A passes Earth at a speed of 0.65c. At the sametime, rocket ...
 36.36.77: (a) What is the speed v of an electron whose kinetic energyis 14,00...
 36.36.78: As a rough rule, anything traveling faster than about 0.1c iscalled...
 36.36.79: What minimum amount of electromagnetic energy isneeded to produce a...
 36.36.80: How many grams of matter would have to be totallydestroyed to run a...
 36.36.81: If E is the total energy of a particle with zero potentialenergy, s...
 36.36.82: A free neutron can decay into a proton, an electron, and aneutrino....
 36.36.83: The Sun radiates energy at a rate of about 4 X 1026W.(a) At what ra...
 36.36.84: An unknown particle is measured to have a negative chargeand a spee...
 36.36.85: How much energy would be required to break a heliumnucleus into its...
 36.36.86: Show analytically that a particle with momentum p andenergy E has a...
 36.36.87: Two protons, each having a speed of 0.985c in the laboratory,are mo...
 36.36.88: When two moles of hydrogen molecules (H2) and one moleof oxygen mol...
 36.36.89: The fictional starship Enterprise obtains its power bycombining mat...
 36.36.90: A spaceship and its occupants have a total mass of180.000 kg. The o...
 36.36.91: In a nuclear reaction two identical particles are created,traveling...
 36.36.92: A 32,000kg spaceship is to travel to the vicinity of a star6.6 lig...
 36.36.93: Suppose a 14,500kg spaceship left Earth at a speed of 0.98c.What i...
 36.36.94: A pi meson of mass ra^ decays at rest into a muon(mass m^) and a ne...
 36.36.95: Astronomers measure the distance to a particular star to be6.0 ligh...
 36.36.96: A 1.88kg mass oscillates on the end of a spring whosespring stiffn...
 36.36.97: Show that the spacetime interval, (c At)2  (Ax)2, isinvariant, me...
 36.36.98: A slab of glass with index of refraction n moves to theright with s...
 36.36.99: For a 1.0kg mass, make a plot of the kinetic energy as afunction o...
 36.36.100: p0 is the initial momentum of the particle,(b) Assume the particle ...
Solutions for Chapter 36: The Special Theory of Relativity
Full solutions for Physics for Scientists & Engineers with Modern Physics  4th Edition
ISBN: 9780131495081
Solutions for Chapter 36: The Special Theory of Relativity
Get Full SolutionsSince 100 problems in chapter 36: The Special Theory of Relativity have been answered, more than 43790 students have viewed full stepbystep solutions from this chapter. Chapter 36: The Special Theory of Relativity includes 100 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Physics for Scientists & Engineers with Modern Physics, edition: 4. Physics for Scientists & Engineers with Modern Physics was written by and is associated to the ISBN: 9780131495081.

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parallel

any symbol
average (indicated by a bar over a symbol—e.g., v¯ is average velocity)

°C
Celsius degree

°F
Fahrenheit degree