College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 26, Problem 10P
To determine
The time interval that a pilot of a spaceship measures for one rotation of Earth on its axis given the speed of the spaceship with respect to Earth is
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Constants | Periodic Table
Reference frame S' moves at speed v = 0.95c in the +a direction with
respect to reference frame S. The origins of S and S' overlap at
t =t' = 0. An object is stationary in S' at position a' = 140 m
Part A
What is the position of the obiect in S when the clock in S reads 1.1 us according to the Galilean transformation equations?
Express your answer with the appropriate units.
I = 454 m
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What is the position of the object in S when the clock in S reads 1.1 us according to the Lorentz transformation equations?
Express your answer with the appropriate units.
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Special Relativity Question
Sally is in a speeding train that is 40 m long. John stands on a tunnel that is 40 m long. To Sally, the tunnel space contracts, and she observes that the train is never completely inside the tunnel. To John, the train space contracts and the entire train fits inside the tunnel. Draw a diagram of this situation and explain how both can be correct.
Chapter 26 Solutions
College Physics
Ch. 26 - Review Question 26.1 Why is the historical role of...Ch. 26 - Review Question 26.2 Alice is standing on the...Ch. 26 - Review Question 26.3 You hear in your physics...Ch. 26 - Review Question 26.4 You are on a train eating an...Ch. 26 - Prob. 5RQCh. 26 - Prob. 6RQCh. 26 - Prob. 7RQCh. 26 - Review Question 26.8 Why must the classical...Ch. 26 - Prob. 9RQCh. 26 - Prob. 10RQ
Ch. 26 - Prob. 11RQCh. 26 - Prob. 12RQCh. 26 - Prob. 1MCQCh. 26 - Multiple Choice Questions
2. On what did Michelson...Ch. 26 - Multiple Choice Questions Physicists explained the...Ch. 26 - Multiple Choice Questions
4. What is a proper time...Ch. 26 - Prob. 5MCQCh. 26 - Prob. 6MCQCh. 26 - Prob. 7MCQCh. 26 - Prob. 8MCQCh. 26 - Multiple Choice Questions
9. The measurement of...Ch. 26 - Prob. 10MCQCh. 26 - Prob. 11MCQCh. 26 - Multiple Choice Questions Which of the blue world...Ch. 26 - What is an inertial reference frame? How can you...Ch. 26 - 14. Give an example of a phenomenon that an...Ch. 26 - 15. Explain the difference between a proper...Ch. 26 - Prob. 16CQCh. 26 - What does it mean to say that the speed of...Ch. 26 - You move toward a star at a speed of 0.99c. At...Ch. 26 - 19. You pass Earth in a spaceship that moves at...Ch. 26 - It takes light approximately 1010 years to reach...Ch. 26 - Prob. 21CQCh. 26 - Name several ways in which your life would be...Ch. 26 - Prob. 23CQCh. 26 - The classical equation for calculating kinetic...Ch. 26 - How did the Doppler effect for light help...Ch. 26 - Prob. 26CQCh. 26 - Prob. 27CQCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 17PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3–26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 23PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - 26.9 Relativistic Energy
33. Determine the ratio...Ch. 26 - Prob. 34PCh. 26 - 26.9 Relativistic Energy * At what speed must an...Ch. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Relativistic Energy * A particle originally moving...Ch. 26 - Prob. 42PCh. 26 - 26.9 Relativistic Energy
43. ** A particle of mass...Ch. 26 - Prob. 44PCh. 26 - Relativistic Energy * Mass equivalent of energy to...Ch. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Relativistic Energy 109kg of mass to energy (b)...Ch. 26 - 26.10 Doppler Effect for EM Waves
52. Why no color...Ch. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - 58.* Boat trip A boat's speed is 10 m/s. It makes...Ch. 26 - * Space travel An explorer travels at speed...Ch. 26 - ** A pilot and his spaceship of rest mass 1000 kg...Ch. 26 - * Alice's friends Bob and Charlie are having a...Ch. 26 - Prob. 65GPCh. 26 - 66. ** Space travel A pilot and her spaceship have...Ch. 26 - Prob. 67GPCh. 26 - Prob. 68GPCh. 26 - Prob. 69RPPCh. 26 - Prob. 70RPPCh. 26 - Prob. 71RPPCh. 26 - Prob. 72RPPCh. 26 - Prob. 73RPPCh. 26 - Prob. 74RPPCh. 26 - Prob. 75RPPCh. 26 - Prob. 76RPPCh. 26 - Prob. 77RPPCh. 26 - Prob. 78RPPCh. 26 - Prob. 79RPPCh. 26 - Prob. 80RPP
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- You are driving on a freeway at a relativistic speed. (i) Straight ahead of you, a technician standing on the ground turns on a searchlight and a beam of light moves exactly vertically upward as seen by the technician. As you observe the beam of light, do you measure the magnitude of the vertical component of its velocity as (a) equal to c, (b) greater than c, or (c) less than c? (ii) If the technician aims the searchlight directly at you instead of upward, do you measure the magnitude of the horizontal component of its velocity as (a) equal to c, (b) greater than c, or (c) less than c?arrow_forwardNear the center of our galaxy, hydrogen gas is moving directly away from us in its orbit about a black hole. We receive 19(N) nm electromagnetic radiation and know that it was 1875 nm when emitted by the hydrogen gas. What is the speed of the gas?arrow_forwardA distant astronomical object (a quasar) is moving away from us at half the speed of light. What is the speed of the light we receive from this quasar? (a) greater than c (b) c (c) between c/2 and c (d) c/2 (e) between 0 and c/2arrow_forward
- a meterstick moving at 0.900c relative to the Earths surface approaches an observer at rest with respect to the Earths surface. (a) What is the metersticks length as measured by the observer? (b) Qualitatively, how would the answer to part (a) change if the observer started running toward the meterstick?arrow_forwardChoose the option that makes the following statement correct. Two events at a single location define a time interval. The proper time interval tp, is measured by an observer [(a) at rest; (b) moving] relative to the location where the two events occur.arrow_forwardAn astronaut is traveling in a space vehicle moving at 0.500c relative to the Earth. The astronaut measures her pulse rate at 75.0 beats per minute. Signals generated by the astronauts pulse are radioed to the Earth when the vehicle is moving in a direction perpendicular to the line that connects the vehicle with an observer on the Earth. (a) What pulse rate does the Earth-based observer measure? (b) What If? What would be the pulse rate if the speed of the space vehicle were increased to 0.990c?arrow_forward
- Suppose the observer O on the train in Figure 38.6 aims her flashlight at the far wall of the boxcar and turns it on and off, sending a pulse of light toward the far wall. Both O and O measure the time interval between when the pulse leaves the flashlight and when it hits the far wall. Which observer measures the proper time interval between these two events? (a) O (b) O (c) both observers (d) neither observer Figure 38.6 (a) A mirror is fixed to a moving vehicle, and a light pulse is sent out by observer O at rest in the vehicle. (b) Relative to a stationary observer O standing alongside the vehicle, the mirror and O move with a speed v and the light pulse follows a diagonal path. (c) The right triangle for calculating the relationship between t and tp.arrow_forwardAn astronaut is traveling in a space vehicle that has a speed of 0.500c relative to Earth. The astronaut measures his pulse rate at 75.0 beats per minute. Signals generated by the astronauts pulse are radioed to Earth when the vehicle is moving perpendicular to a line that connects the vehicle with an Earth observer. (a) What pulse rate does the Earth observer measure? (b) What would be the pulse rate if the speed of the space vehicle were increased to 0.990c?arrow_forwardTwo identically constructed clocks are synchronized. One is put into orbit around Earth, and the other remains on Earth. (a) Which clock runs more slowly? (b) When the moving clock returns to Earth, will the two clocks still be synchronized? Discuss from the standpoints of both special and general relativity.arrow_forward
- Unreasonable Results A spaceship is heading directly toward the Earth at a velocity of 0.800c. The astronaut on board claims that he can send a canister toward the Earth at 1.20c relative to the Earth. (a) Calculate the velocity the canister must have relative to the spaceship. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forwardRelativistic effects such as time dilation and length contraction are present for cars and airplanes. Why do these effects seem strange to us?arrow_forwardConstruct Your Own Problem Consider an astronaut traveling to another star at a relativistic velocity. Construct a problem in which you calculate the time for the trip as observed on the Earth and as observed by the astronaut. Also calculate the amount of mass that must be converted to energy to get the astronaut and ship to the velocity travelled. Among the things to be considered are the distance to the star, the velocity, and the mass of the astronaut and ship. Unless your instructor directs you otherwise, do not include any energy given to other masses, such as rocket propellants.arrow_forward
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