7. 9. DETAILS WAMODPHYS1 2.P.027. If a spaceship, approaching the Earth at 0.300c, sends a message capsule toward the Earth at 0.550c relative to the Earth, what is the speed of the capsule relative to the ship? Express your answer in terms of the speed of light, c. Submit Answer DETAILS Submit Answer WAMODPHYS1 2.P.028. DETAILS MJN TUUN Two planets are on a collision course, heading directly toward each other at 0.300c. A spaceship sent from one planet approaches the second at 0.726c as seen by the second planet. What is the speed of the ship relative to the first planet? WAMODPHYS1 2.P.029. PRACTICE ANNUIMER FER RACTICE ANOTHER An observer on Earth sees spaceships A and B approaching each other along a straight line and with the same speed. If the relative speed of the two space ships is 0.950c, determine the velocity (in terms of c) of the two spaceships as measured by the observer on Earth. (Enter the magnitude)

7. 9. DETAILS WAMODPHYS1 2.P.027. If a spaceship, approaching the Earth at 0.300c, sends a message capsule toward the Earth at 0.550c relative to the Earth, what is the speed of the capsule relative to the ship? Express your answer in terms of the speed of light, c. Submit Answer DETAILS Submit Answer WAMODPHYS1 2.P.028. DETAILS MJN TUUN Two planets are on a collision course, heading directly toward each other at 0.300c. A spaceship sent from one planet approaches the second at 0.726c as seen by the second planet. What is the speed of the ship relative to the first planet? WAMODPHYS1 2.P.029. PRACTICE ANNUIMER FER RACTICE ANOTHER An observer on Earth sees spaceships A and B approaching each other along a straight line and with the same speed. If the relative speed of the two space ships is 0.950c, determine the velocity (in terms of c) of the two spaceships as measured by the observer on Earth. (Enter the magnitude)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Relativity

Section: Chapter Questions

Problem 19P: An enemy spacecraft moves away from the Earth at a speed of v = 0.800c (Fig. P9.19). A galactic...

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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 P1.34
(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.)
A box is cubical with sides of proper lengths L1 = L2 = L3, as shown in Figure P26.14, when viewed in its own rest frame. If this block moves parallel to one of its edges with a speed of 0.80c past an observer, (a) what shape does it appear to have to this observer? (b) What is the length of each side as measured by the observer? Figure P26.14
If two spaceships are heading directly towards each other at 0.800c, at what speed must a canister be shot from the first ship to approach the other at 0.999c as seen by the second ship?
Calculate 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.
If 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?
A pulsar is a stellar object that emits light in short bursts. Suppose a pulsar with a speed of 0.950c approaches Earth, and a rocket with a speed of 0.995c heads toward the pulsar. (Both speeds are measured in Earth's frame of reference.) If the pulsar emits 10.0 pulses per second in its own frame of reference, at what rate are the pulses emitted in the rockets frame of reference?
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. P26.45
Owen 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 P9.63
(a) How long would the muon in Example 28.1 have lived as observed on the Earth if its velocity was 0.0500c ? (b) How far would it have traveled as observed on the Earth? (c) What distance is this in the muon's frame?
An enemy spacecraft moves away from the Earth at a speed of v = 0.800c (Fig. P9.19). A galactic patrol spacecraft pursues at a speed of u = 0.900c relative to the Earth. Observers on the Earth measure the patrol craft to be overtaking the enemy craft at a relative speed of 0.100c. With what speed is the patrol craft overtaking the enemy craft as measured by the patrol crafts crew? Figure. P9.19