College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Chapter 26, Problem 27P
A rocket moves with a velocity of 0.92c to the right with respect to a stationary observer A. An observer B moving relative to observer A finds that the rocket is moving with a velocity of 0.95c to the left. What is the velocity of observer B relative to observer A? (Hint: Consider observer B’s velocity in the frame of reference of the rocket.)
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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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- Suppose 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_forwardAn observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at x1 = y1 = z1 = t1 = 0 and the second at x2 = 100 m, y2 = z2 = t2 = 0. (a) What are the coordinates of these two events in a frame S moving in the standard configuration at 0.70c relative to S? (b) How far apart are the events in S? (c) Are the events simultaneous in S? If not, what is the difference in time between the events, and which event occurs first?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
- As 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_forwardA 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_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
- A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of 50.0° above the horizontal, positive x-axis. Another spacecraft is moving past with a velocity of 0.700c in the negative x direction. Determine the magnitude and direction of the velocity of the first spacecraft as measured by the pilot of the second spacecraft.arrow_forwardTwo 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_forward
- As measured by observers in a reference frame S, a particle having charge q moves with velocity v in a magnetic field B and an electric field E. The resulting force on the particle is then measured to be F = q(E + v × B). Another observer moves along with the charged particle and measures its charge to be q also but measures the electric field to be E′. If both observers are to measure the same force, F, show that E′ = E + v × B.arrow_forwardConsider an electron moving with speed 0.980c. a. What is the rest mass energy of this electron? b. What is the total energyof this electron? c. What is the kinetic energy of this electron?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_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