 26.13MCQ: Two spaceships, each moving at a speed 0.75c relative to the Earth,...
 26.13P: (III) Escape velocity from the Earth is 11.2 km/s. What would be th...
 26.13Q: Discuss how our everyday lives would be different if the speed of l...
 26.14P: (III) An unstable particle produced in an accelerator experiment tr...
 26.14Q: The drawing at the start of this Chapter shows the street as seen b...
 26.15P: (III) How fast must a pion be moving on average to travel 32 m befo...
 26.15Q: An electron is limited to travel at speeds less than c. Does this p...
 26.16P: (I) What is the momentum of a proton traveling at v =0.68c?
 26.16Q: Can a particle of nonzero mass attain the speed of light? Explain.
 26.17P: (II) (a) A particle travels at v =0.15c. By what percentage will a ...
 26.17Q: Does the equation E = mc2 conflict with the conservation of energy ...
 26.18P: (II) A particle of mass m travels at a speed v = 0.22c. At what spe...
 26.18Q: If mass is a form of energy, does this mean that a spring has more ...
 26.19P: (II) An unstable particle is at rest and suddenly decays into two f...
 26.19Q: It is not correct to say that “matter can neither be created nor de...
 26.20P: (II) What is the percent change in momentum of a proton that accele...
 26.20Q: Is our intuitive notion that velocities simply add, as in Section 3...
 26.21P: (I) Calculate the rest energy of an electron in joules and in MeV (...
 26.22P: (I) When a uranium nucleus at rest breaks apart in the process know...
 26.23P: (I) The total annual energy consumption in the United States is abo...
 26.24P: (I) Calculate the mass of a proton (1.67 X 1027 kg) in MeV/c2.
 26.25P: (I) A certain chemical reaction requires 4.82 X 104 J of energy inp...
 26.26EA: What is the muon’s mean lifetime (Example 26–1) if it is traveling ...
 26.26EB: A certain atomic clock keeps precise time on Earth. If the clock is...
 26.26EC: What is the length of the tunnel as measured by observers on the tr...
 26.26ED: For 1% accuracy, does an electron with KE = 100eV need to be treate...
 26.6EE: Use Eq. 26–10 to calculate the speed of rocket 2 in Fig. 26–11 rela...
 26.6EF: Return to the ChapterOpening Question, page 744, and answer it aga...
 26.27P: (II) What is the momentum of a 950MeV proton (that is, its kinetic...
 26.28P: (II) What is the speed of an electron whose kinetic energy is 1.12 ...
 26.29P: (II) (a) How much work is required to accelerate a proton from rest...
 26.30P: (II) At what speed will an object’s kinetic energy be 33% of its re...
 26.31P: (II) Determine the speed and the momentum of an electron (m =9.11 X...
 26.32P: (II) A proton is traveling in an accelerator with a speed of 1.0 X ...
 26.33P: (II) How much energy can be obtained from conversion of 1.0 gram of...
 26.34P: (II) To accelerate a particle of mass m from rest to speed 0.90c re...
 26.35P: (II) Suppose there was a process by which two photons, each with mo...
 26.36P: (II) What is the speed of a proton accelerated by a potential diffe...
 26.37P: (II) What is the speed of an electron after being accelerated from ...
 26.38P: (II) The kinetic energy of a particle is 45 MeV. If the Momentum is...
 26.39P: (II) Calculate the speed of a proton (m =1.67 X 1027 kg) whose kin...
 26.40P: (II) Calculate the kinetic energy and momentum of a Proton (m =1.67...
 26.41P: (II) Suppose a spacecraft of mass 17,000 kg is accelerated to 0.15c...
 26.42P: (II) A negative muon traveling at 53% the speed of light collides h...
 26.43P: (II) Two identical particles of mass m approach each other at equal...
 26.44P: (III) The americium nucleus NP by emitting an alpha particle of mas...
 26.45P: (III) Show that the kinetic energy ke of a particle of mass m is re...
 26.46P: (III) What magnetic field B is needed to keep 998GeV protons revol...
 26.47P: (I) A person on a rocket traveling at 0.40c (with respect to the Ea...
 26.48P: (II) Two spaceships leave Earth in opposite directions, each with a...
 26.49P: (II) A spaceship leaves Earth traveling at 0.65c. A second spaceshi...
 26.50P: (II) An observer on Earth sees an alien vessel approach at a speed ...
 26.51P: (II) A spaceship in distress sends out two escape pods in opposite ...
 26.52P: (II) Rocket A passes Earth at a speed of 0.65c. At the same time, r...
 26.53P: (II) Your spaceship, traveling at 0.90c, needs to launch a probe ou...
 26.54GP: What is the speed of a particle when its kinetic energy equals its ...
 26.55GP: The nearest star to Earth is Proxima Centauri, 4.3 lightyears away....
 26.56GP: According to the special theory of relativity, the factor ? that de...
 26.57GP: A healthy astronaut’s heart rate is 60 beats/min. Flight doctors on...
 26.58GP: What is the speed v of an electron whose kinetic energy is 14,000 t...
 26.59GP: What minimum amount of electromagnetic energy is needed to produce ...
 26.60GP: How many grams of matter would have to be totally destroyed to run ...
 26.61GP: A free neutron can decay into a proton, an electron, and a neutrino...
 26.62GP: An electron is accelerated from rest to speed v by a conservative f...
 26.63GP: The Sun radiates energy at a rate of about 4x1026 W. (a) At what ra...
 26.64GP: How much energy would be required to break a helium nucleus into it...
 26.65GP: Show analytically that a particle with momentum p and energy E has ...
 26.66GP: Two protons, each having a speed of 0.990c in the laboratory, are m...
 26.67GP: When two moles of hydrogen molecules and one mole of oxygen molecul...
 26.68GP: The fictional starship Enterprise obtains its power by combining ma...
 26.69GP: Make a graph of the kinetic energy versus momentum for (a) a partic...
 26.70GP: A spaceship and its occupants have a total mass of 160,000 kg. The ...
 26.71GP: In a nuclear reaction two identical particles are created, travelin...
 26.72GP: A 36,000kg spaceship is to travel to the vicinity of a star 6.6 li...
 26.73GP: Suppose a 14,500kg spaceship left Earth at a speed of 0.90c. What ...
 26.74GP: A pi meson of mass
 26.75GP: An astronaut on a spaceship traveling at 0.75c relative to Earth me...
 26.76GP: Astronomers measure the distance to a particular star to be 6.0 lig...
 26.77GP: An electron is accelerated so that its kinetic energy is greater th...
 26.78GP: You are traveling in a spaceship at a speed of 0.70c away from Eart...
 26.79GP: A farm boy studying physics believes that he can fit a 13.0mlong ...
 26.80GP: An atomic clock is taken to the North Pole, while another stays at ...
 26.81GP: An airplane travels 1300 km/h around the Earth in a circle of radiu...
 26.1COQ: A rocket is headed away from Earth at a speed of 0.80c. The rocket ...
 26.1MCQ: The fictional rocket ship Adventure is measured to be 50 m long by ...
 26.1P: (I) A spaceship passes you at a speed of 0.850c. You measure its le...
 26.1Q: You are in a windowless car in an exceptionally smooth train moving...
 26.2MCQ: As rocket ship Adventure (MisConceptual Question 1) passes by the s...
 26.2P: (I) A certain type of elementary particle travels at a speed Of 2.7...
 26.2Q: You might have had the experience of being at a red light when, out...
 26.3MCQ: For the flashing of the flashlight in MisConceptual Question 2, wha...
 26.3P: (II) You travel to a star 135 lightyears from Earth at a speed of ...
 26.3Q: A worker stands on top of a railroad car moving at constant velocit...
 26.4MCQ: The rocket ship of MisConceptual Question 1 travels to a star many ...
 26.3SL: Using Example 26–2 as a guide, show that for objects that move slow...
 26.4P: 4. (II) What is the speed of a pion if its average lifetime is meas...
 26.4Q: Does the Earth really go around the Sun? Or is it also valid to say...
 26.4SL: In Example 26–5, the spaceship is moving at 0.90c in the horizontal...
 26.5MCQ: An Earth observer notes that clocks on a passing spacecraft run slo...
 26.5P: (II) In an Earth reference frame, a star is 49 lightyears away. Ho...
 26.5Q: If you were on a spaceship traveling at 0.6c away from a star, at w...
 26.5SL: Protons from outer space crash into the Earth’s atmosphere at a hig...
 26.6MCQ: Spaceships A and B are traveling directly toward each other at a sp...
 26.6P: (II) Calculate the kinetic energy and momentum of a proton travelin...
 26.6Q: The time dilation effect is sometimes expressed as “moving clocks r...
 26.6SL: As a rough rule, anything traveling faster than about 0.1c is calle...
 26.7MCQ: Relativistic formulas for time dilation, length contraction, and ma...
 26.7P: (II) At what speed do the relativistic formulas for (a) length and ...
 26.7Q: Does time dilation mean that time actually passes more slowly in mo...
 26.8MCQ: Which of the following will two observers in inertial reference fra...
 26.8P: (II) You decide to travel to a star 62 lightyears from Earth at a ...
 26.8Q: A younglooking woman astronaut has just arrived home from a long t...
 26.9MCQ: Two observers in different inertial reference frames moving relativ...
 26.9P: (II) A friend speeds by you in her spacecraft at a speed of 0.720c....
 26.9Q: If you were traveling away from Earth at speed 0.6c, would you noti...
 26.10MCQ: You are in a rocket ship going faster and faster. As your speed inc...
 26.10P: (II) A star is 21.6 lightyears from Earth. How long would it take ...
 26.10Q: Do time dilation and length contraction occur at ordinary speeds, s...
 26.11MCQ: You are in a spaceship with no windows, radios, or other means to c...
 26.11P: (II) A fictional news report stated that starship Enterprise had ju...
 26.11Q: Suppose the speed of light were infinite. What would happen to the ...
 26.12MCQ: The period of a pendulum attached in a spaceship is 2 s while the s...
 26.12P: (II) A box at rest has the shape of a cube 2.6 m on a side. This bo...
 26.12Q: Explain how the length contraction and time dilation formulas might...
 26.26.1: A spaceship passes you at a speed of 0.850c. You measure its length...
 26.1: A spaceship passes you at a speed of 0.850c. You measure its length...
 26.26.2: A certain type of elementary particle travels at a speed of At this...
 26.2: A certain type of elementary particle travels at a speed of At this...
 26.26.3: You travel to a star 135 lightyears from Earth at a speed of What ...
 26.3: You travel to a star 135 lightyears from Earth at a speed of What ...
 26.26.4: What is the speed of a pion if its average lifetime is measured to ...
 26.4: What is the speed of a pion if its average lifetime is measured to ...
 26.26.5: In an Earth reference frame, a star is 49 lightyears away. How fas...
 26.5: In an Earth reference frame, a star is 49 lightyears away. How fas...
 26.26.6: At what speed v will the length of a 1.00m stick look 10.0% shorte...
 26.6: At what speed v will the length of a 1.00m stick look 10.0% shorte...
 26.26.7: At what speed do the relativistic formulas for (a) length and (b) t...
 26.7: At what speed do the relativistic formulas for (a) length and (b) t...
 26.26.8: You decide to travel to a star 62 lightyears from Earth at a speed...
 26.8: You decide to travel to a star 62 lightyears from Earth at a speed...
 26.26.9: A friend speeds by you in her spacecraft at a speed of 0.720c. It i...
 26.9: A friend speeds by you in her spacecraft at a speed of 0.720c. It i...
 26.26.10: A star is 21.6 lightyears from Earth. How long would it take a spa...
 26.10: A star is 21.6 lightyears from Earth. How long would it take a spa...
 26.26.11: A fictional news report stated that starship Enterprise had just re...
 26.11: A fictional news report stated that starship Enterprise had just re...
 26.26.12: A box at rest has the shape of a cube 2.6 m on a side. This box is ...
 26.12: A box at rest has the shape of a cube 2.6 m on a side. This box is ...
 26.26.13: Escape velocity from the Earth is What would be the percent decreas...
 26.13: Escape velocity from the Earth is What would be the percent decreas...
 26.26.14: An unstable particle produced in an accelerator experiment travels ...
 26.14: An unstable particle produced in an accelerator experiment travels ...
 26.26.15: How fast must a pion be moving on average to travel 32 m before it ...
 26.15: How fast must a pion be moving on average to travel 32 m before it ...
 26.26.16: What is the momentum of a proton traveling at v = 0.68c?
 26.16: What is the momentum of a proton traveling at v = 0.68c?
 26.26.17: (a) A particle travels at By what percentage will a calculation of ...
 26.17: (a) A particle travels at By what percentage will a calculation of ...
 26.26.18: A particle of mass m travels at a speed At what speed will its mome...
 26.18: A particle of mass m travels at a speed At what speed will its mome...
 26.26.19: An unstable particle is at rest and suddenly decays into two fragme...
 26.19: An unstable particle is at rest and suddenly decays into two fragme...
 26.26.20: What is the percent change in momentum of a proton that accelerates...
 26.20: What is the percent change in momentum of a proton that accelerates...
 26.26.21: Calculate the rest energy of an electron in joules and in 1 MeV = 1...
 26.21: Calculate the rest energy of an electron in joules and in 1 MeV = 1...
 26.26.22: When a uranium nucleus at rest breaks apart in the process known as...
 26.22: When a uranium nucleus at rest breaks apart in the process known as...
 26.26.23: The total annual energy consumption in the United States is about H...
 26.23: The total annual energy consumption in the United States is about H...
 26.26.24: Calculate the mass of a proton in MeVc2
 26.24: Calculate the mass of a proton in MeVc2
 26.26.25: A certain chemical reaction requires of energy input for it to go. ...
 26.25: A certain chemical reaction requires of energy input for it to go. ...
 26.26.26: Calculate the kinetic energy and momentum of a proton traveling 2.9...
 26.26: Calculate the kinetic energy and momentum of a proton traveling 2.9...
 26.26.27: What is the momentum of a 950MeV proton (that is, its kinetic ener...
 26.27: What is the momentum of a 950MeV proton (that is, its kinetic ener...
 26.26.28: What is the speed of an electron whose kinetic energy is 1.12 MeV?
 26.28: What is the speed of an electron whose kinetic energy is 1.12 MeV?
 26.26.29: (a) How much work is required to accelerate a proton from rest up t...
 26.29: (a) How much work is required to accelerate a proton from rest up t...
 26.26.30: At what speed will an objects kinetic energy be 33% of its rest ene...
 26.30: At what speed will an objects kinetic energy be 33% of its rest ene...
 26.26.31: Determine the speed and the momentum of an electron whose equals it...
 26.31: Determine the speed and the momentum of an electron whose equals it...
 26.26.32: A proton is traveling in an accelerator with a speed of By what fac...
 26.32: A proton is traveling in an accelerator with a speed of By what fac...
 26.26.33: How much energy can be obtained from conversion of 1.0 gram of mass...
 26.33: How much energy can be obtained from conversion of 1.0 gram of mass...
 26.26.34: To accelerate a particle of mass m from rest to speed 0.90c require...
 26.34: To accelerate a particle of mass m from rest to speed 0.90c require...
 26.26.35: Suppose there was a process by which two photons, each with momentu...
 26.35: Suppose there was a process by which two photons, each with momentu...
 26.26.36: What is the speed of a proton accelerated by a potential difference...
 26.36: What is the speed of a proton accelerated by a potential difference...
 26.26.37: What is the speed of an electron after being accelerated from rest ...
 26.37: What is the speed of an electron after being accelerated from rest ...
 26.26.38: The kinetic energy of a particle is 45 MeV. If the momentum is what...
 26.38: The kinetic energy of a particle is 45 MeV. If the momentum is what...
 26.26.39: Calculate the speed of a proton whose kinetic energy is exactly hal...
 26.39: Calculate the speed of a proton whose kinetic energy is exactly hal...
 26.26.40: Calculate the kinetic energy and momentum of a proton traveling By ...
 26.40: Calculate the kinetic energy and momentum of a proton traveling By ...
 26.26.41: Suppose a spacecraft of mass 17,000 kg is accelerated to 0.15c. (a)...
 26.41: Suppose a spacecraft of mass 17,000 kg is accelerated to 0.15c. (a)...
 26.26.42: A negative muon traveling at 53% the speed of light collides head o...
 26.42: A negative muon traveling at 53% the speed of light collides head o...
 26.26.43: Two identical particles of mass m approach each other at equal and ...
 26.43: Two identical particles of mass m approach each other at equal and ...
 26.26.44: The americium nucleus, decays to a neptunium nucleus, by emitting a...
 26.44: The americium nucleus, decays to a neptunium nucleus, by emitting a...
 26.26.45: Show that the kinetic energy ke of a particle of mass m is related ...
 26.45: Show that the kinetic energy ke of a particle of mass m is related ...
 26.26.46: What magnetic field B is needed to keep 998GeV protons revolving i...
 26.46: What magnetic field B is needed to keep 998GeV protons revolving i...
 26.26.47: A person on a rocket traveling at 0.40c (with respect to the Earth)...
 26.47: A person on a rocket traveling at 0.40c (with respect to the Earth)...
 26.26.48: Two spaceships leave Earth in opposite directions, each with a spee...
 26.48: Two spaceships leave Earth in opposite directions, each with a spee...
 26.26.49: A spaceship leaves Earth traveling at 0.65c. A second spaceship lea...
 26.49: A spaceship leaves Earth traveling at 0.65c. A second spaceship lea...
 26.26.50: An observer on Earth sees an alien vessel approach at a speed of 0....
 26.50: An observer on Earth sees an alien vessel approach at a speed of 0....
 26.26.51: A spaceship in distress sends out two escape pods in opposite direc...
 26.51: A spaceship in distress sends out two escape pods in opposite direc...
 26.26.52: Rocket A passes Earth at a speed of 0.65c. At the same time, rocket...
 26.52: Rocket A passes Earth at a speed of 0.65c. At the same time, rocket...
 26.26.53: Your spaceship, traveling at 0.90c, needs to launch a probe out the...
 26.53: Your spaceship, traveling at 0.90c, needs to launch a probe out the...
 26.26.54: What is the speed of a particle when its kinetic energy equals its ...
 26.54: What is the speed of a particle when its kinetic energy equals its ...
 26.26.55: The nearest star to Earth is Proxima Centauri, 4.3 lightyears away....
 26.55: The nearest star to Earth is Proxima Centauri, 4.3 lightyears away....
 26.26.56: According to the special theory of relativity, the factor that dete...
 26.56: According to the special theory of relativity, the factor that dete...
 26.26.57: A healthy astronauts heart rate is Flight doctors on Earth can moni...
 26.57: A healthy astronauts heart rate is Flight doctors on Earth can moni...
 26.26.58: What is the speed v of an electron whose kinetic energy is 14,000 t...
 26.58: What is the speed v of an electron whose kinetic energy is 14,000 t...
 26.26.59: What minimum amount of electromagnetic energy is needed to produce ...
 26.59: What minimum amount of electromagnetic energy is needed to produce ...
 26.26.60: How many grams of matter would have to be totally destroyed to run ...
 26.60: How many grams of matter would have to be totally destroyed to run ...
 26.26.61: A free neutron can decay into a proton, an electron, and a neutrino...
 26.61: A free neutron can decay into a proton, an electron, and a neutrino...
 26.26.62: An electron is accelerated from rest to speed v by a conservative f...
 26.62: An electron is accelerated from rest to speed v by a conservative f...
 26.26.63: The Sun radiates energy at a rate of about (a) At what rate is the ...
 26.63: The Sun radiates energy at a rate of about (a) At what rate is the ...
 26.26.64: How much energy would be required to break a helium nucleus into it...
 26.64: How much energy would be required to break a helium nucleus into it...
 26.26.65: Show analytically that a particle with momentum p and energy E has ...
 26.65: Show analytically that a particle with momentum p and energy E has ...
 26.26.66: Two protons, each having a speed of 0.990c in the laboratory, are m...
 26.66: Two protons, each having a speed of 0.990c in the laboratory, are m...
 26.26.67: When two moles of hydrogen molecules and one mole of oxygen molecul...
 26.67: When two moles of hydrogen molecules and one mole of oxygen molecul...
 26.26.68: The fictional starship Enterprise obtains its power by combining ma...
 26.68: The fictional starship Enterprise obtains its power by combining ma...
 26.26.69: Make a graph of the kinetic energy versus momentum for (a) a partic...
 26.69: Make a graph of the kinetic energy versus momentum for (a) a partic...
 26.26.70: A spaceship and its occupants have a total mass of 160,000 kg. The ...
 26.70: A spaceship and its occupants have a total mass of 160,000 kg. The ...
 26.26.71: In a nuclear reaction two identical particles are created, travelin...
 26.71: In a nuclear reaction two identical particles are created, travelin...
 26.26.72: A 36,000kg spaceship is to travel to the vicinity of a star 6.6 li...
 26.72: A 36,000kg spaceship is to travel to the vicinity of a star 6.6 li...
 26.73: Suppose a 14,500kg spaceship left Earth at a speed of 0.90c. What ...
 26.26.73: Suppose a 14,500kg spaceship left Earth at a speed of 0.90c. What ...
 26.74: A pi meson of mass decays at rest into a muon (mass ) and a neutrin...
 26.26.74: A pi meson of mass decays at rest into a muon (mass ) and a neutrin...
 26.75: An astronaut on a spaceship traveling at 0.75c relative to Earth me...
 26.26.75: An astronaut on a spaceship traveling at 0.75c relative to Earth me...
 26.76: Astronomers measure the distance to a particular star to be 6.0 lig...
 26.26.76: Astronomers measure the distance to a particular star to be 6.0 lig...
 26.77: An electron is accelerated so that its kinetic energy is greater th...
 26.26.77: An electron is accelerated so that its kinetic energy is greater th...
 26.78: You are traveling in a spaceship at a speed of 0.70c away from Eart...
 26.26.78: You are traveling in a spaceship at a speed of 0.70c away from Eart...
 26.79: A farm boy studying physics believes that he can fit a 13.0mlong ...
 26.26.79: A farm boy studying physics believes that he can fit a 13.0mlong ...
 26.80: An atomic clock is taken to the North Pole, while another stays at ...
 26.26.80: An atomic clock is taken to the North Pole, while another stays at ...
 26.81: An airplane travels around the Earth in a circle of radius essentia...
 26.26.81: An airplane travels around the Earth in a circle of radius essentia...
Solutions for Chapter 26: The Special Theory of Relativity
Full solutions for Physics: Principles with Applications  7th Edition
ISBN: 9780321625922
Solutions for Chapter 26: The Special Theory of Relativity
Get Full SolutionsSince 286 problems in chapter 26: The Special Theory of Relativity have been answered, more than 133405 students have viewed full stepbystep solutions from this chapter. Physics: Principles with Applications was written by and is associated to the ISBN: 9780321625922. Chapter 26: The Special Theory of Relativity includes 286 full stepbystep solutions. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

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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