Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 12, Problem 5Q
To determine
The definition of time dilation and length contraction. Also, state an example where time dilation effects are observed.
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Chapter 12 Solutions
Inquiry into Physics
Ch. 12 - Prob. 1AACh. 12 - Prob. 2AACh. 12 - Prob. 1PIPCh. 12 - Prob. 1MIOCh. 12 - Prob. 2MIOCh. 12 - Prob. 1QCh. 12 - Prob. 2QCh. 12 - Prob. 3QCh. 12 - Prob. 4QCh. 12 - Prob. 5Q
Ch. 12 - Prob. 6QCh. 12 - Prob. 7QCh. 12 - Prob. 8QCh. 12 - Prob. 9QCh. 12 - (Indicates a review question, which means it...Ch. 12 - Prob. 11QCh. 12 - Prob. 12QCh. 12 - (Indicates a review question, which means it...Ch. 12 - Prob. 14QCh. 12 - Prob. 15QCh. 12 - Prob. 16QCh. 12 - Prob. 17QCh. 12 - Prob. 18QCh. 12 - Prob. 19QCh. 12 - Prob. 20QCh. 12 - Prob. 21QCh. 12 - Prob. 22QCh. 12 - Prob. 23QCh. 12 - Prob. 24QCh. 12 - Prob. 25QCh. 12 - Prob. 26QCh. 12 - Prob. 27QCh. 12 - Prob. 28QCh. 12 - Prob. 29QCh. 12 - Prob. 30QCh. 12 - Prob. 31QCh. 12 - Prob. 32QCh. 12 - Prob. 33QCh. 12 - Prob. 34QCh. 12 - Prob. 35QCh. 12 - Prob. 36QCh. 12 - Prob. 37QCh. 12 - Prob. 38QCh. 12 - Prob. 39QCh. 12 - Prob. 40QCh. 12 - Prob. 41QCh. 12 - Prob. 42QCh. 12 - Prob. 43QCh. 12 - Prob. 44QCh. 12 - Prob. 1PCh. 12 - How fast would a muon have to be traveling...Ch. 12 - The lifetime of a free neutron is 886 s. If a...Ch. 12 - Prob. 4PCh. 12 - The formula for length contraction gives the...Ch. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - . In a particular beam of protons, each particle...Ch. 12 - . A particle of rest energy 140 MeV moves at a...Ch. 12 - . If the relativistic kinetic energy of a particle...Ch. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - . How many years would you have to wait to observe...Ch. 12 - Prob. 17PCh. 12 - Prob. 18PCh. 12 - . A compact neutron star has a mass of kg (about...Ch. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28PCh. 12 - Prob. 29PCh. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - . If the average lifetime of a proton was 1033...Ch. 12 - Prob. 1CCh. 12 - Prob. 2CCh. 12 - Prob. 3CCh. 12 - Prob. 4CCh. 12 - Prob. 5CCh. 12 - Prob. 6CCh. 12 - Prob. 7CCh. 12 - Prob. 8CCh. 12 - Prob. 9CCh. 12 - Prob. 10C
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- esc a) 10 points) Gravitational Time Dilation. The escape velocity from the surface (radius r) of a star or planet of mass M is given by the formula v = (2GM/r). Use this expression to write the time-dilation fraction, At/t, in terms of the ratio of vesc to the speed of light, c. Hint: This is just a simple exercise in substitution. 5.98 x 1024 kg b) (10 points) Extra Lifetime on the Surface of Earth. The Earth has mass MEarth and radius REarth 6.38 x 10 m. What is the fractional time-dilation (At/t) for someone on the Earth's surface? How much longer (At) is a typical lifetime on the surface of Earth, compared to someone in deep space, far away from Earth? Assume a typical human life span of t = 80 years. Iarrow_forwardidentify the knowns, unknown(s), appropriate formula(s) then computation. 1. a) Imagine that your mass in kilograms is 55 kg. Consider this as your rest mass and compute your rest energy in J and in eV. (b) Suppose you used Darna’s stone and was able to fly at one-fourth the speed of light relative to the earth. Compute your relativistic mass, relativistic momentum, relativistic kinetic energy and relativistic total energy.arrow_forwardOur universe has properties that are determined by thevalues of the fundamental physical constants, and it would be a muchdifferent place if the charge of the electron, the mass of the proton, orthe speed of light was substantially different from its actual value. Forinstance, the speed of light is so great that the effects of relativity usuallygo unnoticed in everyday events. Let’s imagine an alternate universewhere the speed of light is 1,000,000 times less than it is in ouruniverse to see what would happen. If the airplane of Passage Problem 37.71 has a rest mass of 20,000 kg, what is its relativistic mass when the plane is moving at 180 m/s ? (a) 8000 kg; (b) 12,000 kg; (c) 16,000 kg; (d) 25,000 kg; (e) 33,300 kg.arrow_forward
- Our universe has properties that are determined by thevalues of the fundamental physical constants, and it would be a muchdifferent place if the charge of the electron, the mass of the proton, orthe speed of light was substantially different from its actual value. Forinstance, the speed of light is so great that the effects of relativity usuallygo unnoticed in everyday events. Let’s imagine an alternate universewhere the speed of light is 1,000,000 times less than it is in ouruniverse to see what would happen. An airplane has a length of 60 m when measured at rest. When the airplane is moving at 180 m>s (400 mph) in the alternate universe, how long would the plane appear to be to a stationary observer? (a) 24 m; (b) 36 m; (c) 48 m; (d) 60 m; (e) 75 m.arrow_forwardOur universe has properties that are determined by thevalues of the fundamental physical constants, and it would be a muchdifferent place if the charge of the electron, the mass of the proton, orthe speed of light was substantially different from its actual value. Forinstance, the speed of light is so great that the effects of relativity usuallygo unnoticed in everyday events. Let’s imagine an alternate universewhere the speed of light is 1,000,000 times less than it is in ouruniverse to see what would happen. In our universe, the rest energy of an electron is approximately 8.2 * 10-14 J. What would it be in the alternate universe? (a) 8.2 * 10-8 J; (b) 8.2 * 10-26 J; (c) 8.2 * 10-2 J; (d) 0.82 J.arrow_forwardOur universe has properties that are determined by thevalues of the fundamental physical constants, and it would be a muchdifferent place if the charge of the electron, the mass of the proton, orthe speed of light was substantially different from its actual value. Forinstance, the speed of light is so great that the effects of relativity usuallygo unnoticed in everyday events. Let’s imagine an alternate universewhere the speed of light is 1,000,000 times less than it is in ouruniverse to see what would happen. In the alternate universe, how fast must an object be moving for it to have a kinetic energy equal to its rest mass? (a) 225 m/s; (b) 260 m/s; (c) 300 m/s; (d) The kinetic energy could not be equal to the rest mass.arrow_forward
- (a) The specific heat of copper is 92.5 Jkg¬1ºC-1. A copper with mass of 250 g was heated to 100 °C. Ah Beng makes a conclusion that the copper now contains 2312500 J of heat. Point out the mistakes in this conclusion and correct them. (b) Give the two postulates of the special theory of relativity. (c) Explain the meaning of “special" in the special theory of relativity.arrow_forwardYou are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius.Yourspaceship can travel with 70% the speed of light. Because you are moving with an enormous speed, your mission will be influenced by effects of time dilation described by special relativity; your spaceship launches in june 2020 and returns back to Earth directly after arriving at sirius. (a) Calculate the time it takes your spaceship to reach Sirius. (b)how many years will have passed from your perspective? (c)At which earth date(year and month) will you arrive back to Earth?arrow_forward(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.) . After landing on the planet Mars, two astronauts awaken from a long induced hibernation inside their windowless spacecraft. Before emerging, is there any way they can determine whether their individual body weights are the result of gravitation or accelerated motion?arrow_forward
- Is Earth an inertial frame of reference? Is the sun? Justify your response.arrow_forwardTo whom does the elapsed time for a process seem to be longer, an observer moving relative to the process or an observer moving with the process? Which observer measures proper time?arrow_forwardSame two observers as in the preceding exercise, but now we look at two events occurring in spaceship A. A photon arrives at the origin of A at its time and another photon arrives atat in the frame of ship A. (a) Find the coordinates and times of the two events as seen by an observer in frame B. (b) In which frame are the two events simultaneous and in which frame are they are not simultaneous?arrow_forward
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