A certain star is 10.9 light-years away. Part A How long would it take a spacecraft traveling 0.900c to reach that star from Earth, as measured b observers on Earth? IVE ΑΣΦ h t=25.01 Submit Previous Answers Request Answer ▾ Part B X Incorrect; Try Again; 3 attempts remaining Submit How long would it take a spacecraft traveling 0.900c to reach that star from Earth, as measured by observers on the spacecraft? ΤΙ ΑΣΦ ? 4 Request Answer years ? years

A certain star is 10.9 light-years away. Part A How long would it take a spacecraft traveling 0.900c to reach that star from Earth, as measured b observers on Earth? IVE ΑΣΦ h t=25.01 Submit Previous Answers Request Answer ▾ Part B X Incorrect; Try Again; 3 attempts remaining Submit How long would it take a spacecraft traveling 0.900c to reach that star from Earth, as measured by observers on the spacecraft? ΤΙ ΑΣΦ ? 4 Request Answer years ? years

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter1: Relativity I

Section: Chapter Questions

Problem 34P: Two powerless rockets are on a collision course. The rockets are moving with speeds of 0.800c and...

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If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts clocks? (b) What is the distance to Alpha Centauri as measured by the astronauts?
Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?
When a missile is shot from one spaceship toward another, it leaves the first at 0.950c and approaches the other at 0.750c. What is the relative velocity of the two ships?
Is Earth an inertial frame of reference? Is the sun? Justify your response.
Suppose our Sun is about to explode. In an effort to escape, we depart in a spacecraft at v = 0.800c and head toward the star Tau Ceti, 12.0 ly 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 spacecrafts frame of reference, should we conclude that the two explosions occurred simultaneously? If not, which occurred first? (b) What If? In a frame of reference in which the Sun and Tau Ceti are at rest, did they explode simultaneously? If not, which exploded first?
(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) What is the approximate speed relative to us of a galaxy near the edge of the known universe, some 10 Gly away? (b) What traction of the speed of light is this? Note that we have observed galaxies moving away from us at greater than 0.9c.
The average lifetime of a pi meson in its own frame of reference is 2.6 × 10−8 s. If the meson moves with a speed of 0.95c, what is (a) its mean lifetime as measured by an observer on Earth and (b) the average distance it travels before decaying, as measured by an observer on Earth?
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
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.
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.
A space probe speeding towards the nearest star moves at 0.250c and sends radio information at a broadcast frequency of 1.00 GHz. What frequency is received on Earth?