College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 26.4, Problem 26.4QQ
You are packing for a trip to another star, and on your journey you will be traveling at a speed of 0.99c. Can you sleep in a smaller cabin than usual, because you will be shorter when you lie down? Explain your answer.
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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) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0x109ly away is receding from us at 0.900c, at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)arrow_forwardAn alien spaceship traveling at 0.600c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.800c relative to the mother ship. As measured on the Earth, the spaceship is 0.200 ly from the Earth when the landing craft is launched. (a) What speed do the Earth-based observers measure for the approaching landing craft? (b) What is the distance to the Earth at the moment of the landing crafts launch as measured by the aliens? (c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship? (d) If the landing craft has a mass of 4.00 105 kg, what is its kinetic energy as measured in the Earth reference frame?arrow_forward(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0109ly ly away is receding from us at 0. 0.900c, at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c, as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from the Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)arrow_forward
- (a) Calculate the speed of a particle of dust that has the same momentum as a proton moving at 0.999c. (b) What does the small speed tell us about the mass of a proton compared to even a tiny amount of macroscopic matter?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_forwardOwen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 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, and (d) how fast is the ball moving? Figure. P26.45arrow_forward
- Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 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, and (d) how fast is the ball moving? Figure. P26.45arrow_forward(a) How long would the mum] in Example 5.3 have lived as observed on Earth if its velocity was. 0.0500c? (b) How far would it have traveled as observed on Earth? (c) What distance is this in the muon’s frame?arrow_forwardUnreasonable Results A spaceship is heading directly toward 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 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_forward
- An atomic clock is placed in a jet airplane. The clock measures a time interval of 3600 s when the jet moves with a speed of 400 m/s. How much longer or shorter a time interval does an identical clock held by an observer on the ground measure? (Hint: For , γ ≈ 1 + v2/2c2.)arrow_forwardAn observer in a coasting spacecraft moves toward a mirror at speed v relative to the reference frame labeled S in Figure P39.85. The mirror is stationary with respect to S. A light pulse emitted by the spacecraft travels toward the mirror and is reflected back to the spacecraft. The spacecraft is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the spacecraft. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the 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_forward
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