College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 26.4, Problem 26.2QQ
Suppose you’re an astronaut being paid according to the time you spend traveling in space. You take a long voyage traveling at a speed near that of light. Upon your return to Earth, you’re asked how you’d like to be paid: according to the time elapsed on a clock on Earth or according to your ship’s clock. To maximize your paycheck, which should you choose? (a) The Earth clock (b) The ship's clock (c) Either clock because it doesn’t make a difference
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Chapter 26 Solutions
College Physics
Ch. 26.3 - Prob. 26.1QQCh. 26.4 - Suppose youre an astronaut being paid according to...Ch. 26.4 - True or False: People traveling near the speed of...Ch. 26.4 - You are packing for a trip to another star, and on...Ch. 26.4 - You observe a locket moving away from you. (i)...Ch. 26.7 - Prob. 26.6QQCh. 26.7 - Prob. 26.7QQCh. 26 - Choose the option from each pair that makes the...Ch. 26 - Choose the option that makes the following...Ch. 26 - Choose the option that makes the following...
Ch. 26 - Choose the option from each pair that makes the...Ch. 26 - A spacecraft with the shape of a sphere of...Ch. 26 - What two speed measurements will two observers in...Ch. 26 - The speed of light in water is 2.30 108 m/s....Ch. 26 - With regard to reference frames, how does general...Ch. 26 - Give a physical argument that shows it is...Ch. 26 - It is said that Einstein, in his teenage years,...Ch. 26 - List some ways our day-to-day lives would change...Ch. 26 - Two identically constructed clocks are...Ch. 26 - Prob. 13CQCh. 26 - Imagine an astronaut on a trip to Sirius, which...Ch. 26 - Explain why, when defining the length of a rod, it...Ch. 26 - Prob. 16CQCh. 26 - The control panel on a spaceship contains a light...Ch. 26 - A spaceship moves past Earth with a speed of...Ch. 26 - If astronauts could travel at v = 0.950c, we on...Ch. 26 - a meterstick moving at 0.900c relative to the...Ch. 26 - The length of a moving spaceship is 28.0 m...Ch. 26 - An astronaut at rest on Earth has a heart rate of...Ch. 26 - The average lifetime of a pi meson in its own...Ch. 26 - An astronaut is traveling in a space vehicle that...Ch. 26 - A muon formed high in Earth's atmosphere travels...Ch. 26 - A star is 15.0 light-years (ly) from Earth. (a) At...Ch. 26 - The proper length of one spaceship is three times...Ch. 26 - A car traveling at 35.0 m/s takes 26.0 minutes to...Ch. 26 - A supertrain of proper length 1.00 102 m travels...Ch. 26 - A box is cubical with sides of proper lengths L1 =...Ch. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - An unstable particle at rest breaks up into two...Ch. 26 - Spaceship R is moving to the right at a speed of...Ch. 26 - An electron moves to the right with a speed of...Ch. 26 - A spaceship travels at 0.750c relative to Earth....Ch. 26 - A spaceship is moving away from Earth at 0.900c...Ch. 26 - Two identical spaceships with proper lengths of...Ch. 26 - Spaceship A moves away from Earth at a speed of...Ch. 26 - A pulsar is a stellar object that emits light in...Ch. 26 - A rocket moves with a velocity of 0.92c to the...Ch. 26 - A proton moves with a speed of 0.950c. Calculate...Ch. 26 - Protons in an accelerator at the Fermi National...Ch. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - A chain of nuclear reactions in the Suns core...Ch. 26 - An unstable particle with a mass equal to 3.34 ...Ch. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37APCh. 26 - Prob. 38APCh. 26 - Prob. 39APCh. 26 - A spring of force constant k is compressed by a...Ch. 26 - A star is 5.00 ly from the Earth. At what speed...Ch. 26 - An electron has a total energy equal to five times...Ch. 26 - An astronaut wishes to visit the Andromeda galaxy,...Ch. 26 - An alarm clock is set to sound in 10.0 h. At t =...Ch. 26 - Owen and Dina are at rest in frame S, which is...Ch. 26 - An observer in a coasting spacecraft moves toward...Ch. 26 - A spaceship of proper length 300. m takes 0.75 s...Ch. 26 - The cosmic rays of highest energy are protons that...Ch. 26 - Prob. 49APCh. 26 - Prob. 50APCh. 26 - The muon is an unstable particle that...Ch. 26 - Prob. 52APCh. 26 - The identical twins Speedo and Goslo join a...Ch. 26 - An interstellar space probe is launched from...Ch. 26 - An observer moving at a speed of 0.995c relative...Ch. 26 - An alien spaceship traveling 0.600c toward Earth...
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- A spacecraft moves at a speed of 0.900c. If its length is L as measured by an observer on the spacecraft, what is the length measured by a ground observer?arrow_forwardIf a spaceship is approaching the Earth at 0.100c and a message capsule is sent toward it at 0.100c relative to Earth, what is the speed of the capsule relative to the ship?arrow_forwardSuppose our Sun is about to explode. In an effort to escape, we depart in a spaceship at v = 0.80c and head toward the star Tau Ceti, 12 lightyears away. When we reach the midpoint of our journey from the Earth, we see our Sun explode and, unfortunately, at the same instant we see Tau Ceti explode as well. (a) In the spaceship’s frame of reference, should we conclude that the two explosions occurred simultaneously? If not, which occurred first? (b) In a frame of reference in which the Sun and Tau Ceti are at rest, did they explode simultaneously? If not, which exploded first?arrow_forward
- A clock on a moving spacecraft runs 1 s slower per day relative to an identical clock on Earth. What is the relative speed of the spacecraft? (Hint: For v/c << 1, note that γ ≈ 1 + v2/2c2.)arrow_forwardYou measure the volume of a cube at rest to be V0. You then measure the volume of the same cube as it passes you in a direction parallel to one side of the cube. The speed of the cube is 0.980c, so 5. Is the volume you measure close to (a) V0/25, (b) V0/5, (c) V0, (d) 5V0, or (e) 25V0?arrow_forwardCalculate the momentum of a proton moving with a speed of (a) 0.010c, (b) 0.50c, (c) 0.90c. (d) Convert the answers of (a)(c) to MeV/c.arrow_forward
- Two powerless rockets are on a collision course. The rockets are moving with speeds of 0.800c and 0.600c and are initially 2.52 × 1012 m apart as measured by Liz, an Earth observer, as shown in Figure P1.34. Both rockets are 50.0 m in length as measured by Liz. (a) What are their respective proper lengths? (b) What is the length of each rocket as measured by an observer in the other rocket? (c) According to Liz, how long before the rockets collide? (d) According to rocket 1, how long before they collide? (e) According to rocket 2, how long before they collide? (f) If both rocket crews are capable of total evacuation within 90 min (their own time), will there be any casualties? Figure P1.34arrow_forwardJoe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe shoots a picture for aduration of t= 12.0 s. For the same duration as measured inthe laboratory frame, at location S2 (1.00 km, 0.200 km,0.300 km), Moe also shoots a picture. Both Joe and Moe begintaking their pictures at t = 0 in the laboratory frame. Determine the duration of each event as measured by an observer ina frame moving at a speed of 2.00 108 m/s along the x axisin the positive x direction. Assume that at t = t = 0, the origins of the two frames coincide.arrow_forwardOwen and Dina are at rest in frame S, which is moving at 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P9.63). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina? Figure P9.63arrow_forward
- It is said that Einstein, in his teenage years, asked the question, What would I see in a mirror if I carried it in my hands and ran at the speed of light? How would you answer this question?arrow_forwardAs seen from Earth, two spaceships A and B are approaching along perpendicular directions. If A is observed by an Earth observer to have velocity uy = 0.90c and B to have a velocity ux = +0.90c, find the speed of ship A as measured by the pilot of B.arrow_forwardOwen and Dina are at rest in frame S. which is moving at 0.600c with respect to frame S. They play a game of catch while Ed. at rest in frame S, watches the action (Fig. P39.91). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S') is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina?arrow_forward
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Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY