Chapter 33: Problem 1
Why was the Michelson-Morley experiment a more sensitive test of motion through the ether than independent measurements of the speed of light in two perpendicular directions?
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Chapter 33: Problem 1
Why was the Michelson-Morley experiment a more sensitive test of motion through the ether than independent measurements of the speed of light in two perpendicular directions?
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Two spaceships are racing. The "slower" one passes Earth at \(0.70 c,\) and the "faster" one moves at \(0.40 c\) relative to the slower one. What's the faster ship's speed relative to Earth?
Use relativistic velocity addition to show that if an object moves at speed
\(v
You're the communications officer on a fast spaceship that takes 50 years in ship time to reach the Andromeda Galaxy, 2 million light years from Earth in the common rest frame of Earth and Andromeda. As soon as you reach Andromeda, your captain orders you to send a radio message to Earth announcing your arrival; he claims the message will reach Earth about a century after you left. You claim it will be much later when the message arrives. Who's right?
You've been named captain of NASA's first interstellar mission since the Voyager robotic spacecraft. You board your spaceship. accelerate quickly to \(0.8 c,\) and cruise at constant speed toward Proxima Centauri, the closest star to our Sun. Proxima Centauri is 4 light-years distant as measured in the two stars' common rest frame. On the way, you conduct various medical experiments to determine the effects of a long space voyage on the human body. How much do you age during your interstellar journey? a. 3 years b. just under 4 years c. just over 4 years d. 5 years
Twins \(A\) and \(B\) live on Earth. On their 20 th birthday, twin \(B\) climbs into a spaceship and makes a round-trip journey at \(0.95 c\) to a star 30 light years distant, as measured in the Earth-star reference frame. What are their ages when twin B returns to Earth?
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