Online Course Support | Understanding Einstein: The Special Theory of Relativity

On a spacetime diagram with time in years and x in light years, what is the slope of a world line of a faster-than-light object that is moving to the right (positive x direction)?

1. Question 1 On a spacetime diagram with time in years and x in light years, what is the slope of a world line of a faster-than-light object that is…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

In the “pole in the barn” example done in lecture, even though Alice’s pole is 10 meters long, and Bob’s barn is 8 meters long, Bob thinks that Alice’s pole will fit completely inside as she goes through the barn. Why does he think this?

4. Question 4 In the “pole in the barn” example done in lecture, even though Alice’s pole is 10 meters long, and Bob’s barn is 8 meters long, Bob thinks…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

In the “pole in the barn” example done in lecture, how can Bob observe/photograph the front of the pole to be located at the rear door of the barn at 44.4 nanoseconds and the rear of the pole to be located at the front door of the barn at 44.4 nanoseconds (so the entire pole is in the barn), while Alice agrees with Bob’s clock readings but never herself observes the pole to be entirely within the barn?

8. Question 8 In the “pole in the barn” example done in lecture, how can Bob observe/photograph the front of the pole to be located at the rear door of…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

For an object that is moving to the right (positive x direction), under what circumstances can we get a reversal of cause and effect?

6. Question 6 For an object that is moving to the right (positive x direction), under what circumstances can we get a reversal of cause and effect? 1 point  …

Online Course Support | Understanding Einstein: The Special Theory of Relativity

Consider the twin paradox example done in lecture: On Alice’s outbound trip to the star, Bob observes Alice’s clocks running slower than his clocks. What does Alice observe regarding Bob’s clocks?

3. Question 3 Consider the twin paradox example done in lecture: On Alice’s outbound trip to the star, Bob observes Alice’s clocks running slower than his clocks. What does Alice…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

If the spaceship in the “faster than light?” example travels from San Francisco to St. Louis at a speed of 0.99c, how fast does the ship appear to be going to the observer in New York?

8. Question 8 If the spaceship in the “faster than light?” example travels from San Francisco to St. Louis at a speed of 0.99c, how fast does the ship appear…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

Consider a spacetime diagram for Alice’s frame of reference (so Alice is positioned at x = 0) where x is in units of light years and t is in units of years. At t = 0 Alice plans to have a party. Consider the spacetime points listed below. If Bob was located at the point, and he had a spaceship that could travel at any speed up to the speed of light, would he be able to get to the party in time? (Mark all that are possible for him to get to the party in time.)

6. Question 6 Consider a spacetime diagram for Alice’s frame of reference (so Alice is positioned at x = 0) where x is in units of light years and t…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

Bob is moving to the right (positive x direction) in his spaceship at a velocity v, and Alice is observing him. If we want to draw Bob’s world line on Alice’s spacetime diagram, how do we figure out where it goes?

4. Question 4 Bob is moving to the right (positive x direction) in his spaceship at a velocity v, and Alice is observing him. If we want to draw Bob’s…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

For a spacetime diagram with the vertical axis representing time and the horizontal axis representing location, what are the lines of simultaneity?

1. Question 1 For a spacetime diagram with the vertical axis representing time and the horizontal axis representing location, what are the lines of simultaneity? 1 point    Any diagonal…

Online Course Support | Understanding Einstein: The Special Theory of Relativity

In the “good guys vs. bad guys” example done in lecture, the bad guys invented a super ship and launched it 4 years after the good guys had left the planet to try to catch the good guys. The good guys were traveling at 0.6c. The bad guys’ super ship traveled at 3c. How much of a head start in distance did the good guys have (as calculated in the frame of reference of the bad guys’ planet)?

9. Question 9 In the “good guys vs. bad guys” example done in lecture, the bad guys invented a super ship and launched it 4 years after the good guys…