1. An observer (Raynor) sees two firecrackers exploding. For each of the fol- lowing, what is...

 

 

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1. An observer (Raynor) sees two firecrackers exploding. For each of the fol- lowing, what is the spacetime interval (in light years) measured by Raynor between the firecracker events? (a) One explodes at the observer's location, and the other at the same location 3 years later. (b) One explodes at the observer's location, and the other 2 light years away and 3 years later. (c) One explodes at the observer's location, and the other 3 light years away and 3 years later. (d) One explodes at the observer's location, and the other 4 light years away and 3 years later. 2. Suppose that a new observer (Kerrigan) sees the two firecrackers exploding from the previous problem. Kerrigan is moving with a speed of 0.4c with respect to Raynor. For each of the four cases a-d, what is the spacetime interval between the firecracker events according to Kerrigan? (Hint: No additional calculations are necessary: use the principle of relativity here) 3. Again consider the firecracker events from problem 1. For each of the four cases a-d, What is the time (in years) between each of the exploding firecrackers according to Artanis (a third observer moving with respect to Raynor) if, in each case Artanis is moving in such a way that the firecrackers explode 4 light years apart from his perspective? Questions 4. Consider your answers from the previous problem. By comparing the time between the exploding firecrackers in each case for both Raynor and Ar- tanis, would we conclude that time is geometrically variant or invariant? What is your evidence for this? 5. Consider the observers Raynor and Kerrigan from problems 1 and 2. Sup- pose Raynor turns on a flashlight pointed in the direction of Kerrigan's motion. Raynor measures the light to be moving with a speed c. (a) In the classical (Galilean) model of relativity, with what speed would Kerrigan measure the light to be moving? (b) In the modern (Einstein) model of relativity, with what speed would Kerrigan measure the light to be moving? 1. An observer (Raynor) sees two firecrackers exploding. For each of the fol- lowing, what is the spacetime interval (in light years) measured by Raynor between the firecracker events? (a) One explodes at the observer's location, and the other at the same location 3 years later. (b) One explodes at the observer's location, and the other 2 light years away and 3 years later. (c) One explodes at the observer's location, and the other 3 light years away and 3 years later. (d) One explodes at the observer's location, and the other 4 light years away and 3 years later. 2. Suppose that a new observer (Kerrigan) sees the two firecrackers exploding from the previous problem. Kerrigan is moving with a speed of 0.4c with respect to Raynor. For each of the four cases a-d, what is the spacetime interval between the firecracker events according to Kerrigan? (Hint: No additional calculations are necessary: use the principle of relativity here) 3. Again consider the firecracker events from problem 1. For each of the four cases a-d, What is the time (in years) between each of the exploding firecrackers according to Artanis (a third observer moving with respect to Raynor) if, in each case Artanis is moving in such a way that the firecrackers explode 4 light years apart from his perspective? Questions 4. Consider your answers from the previous problem. By comparing the time between the exploding firecrackers in each case for both Raynor and Ar- tanis, would we conclude that time is geometrically variant or invariant? What is your evidence for this? 5. Consider the observers Raynor and Kerrigan from problems 1 and 2. Sup- pose Raynor turns on a flashlight pointed in the direction of Kerrigan's motion. Raynor measures the light to be moving with a speed c. (a) In the classical (Galilean) model of relativity, with what speed would Kerrigan measure the light to be moving? (b) In the modern (Einstein) model of relativity, with what speed would Kerrigan measure the light to be moving?

Answer rating: 100% (QA)

1 a 0 b 5 c 6 d 7 The spac etime interval is the difference in the spac etime coordinates of two events In this case the two events are the explosions of the two fire cr ackers The spac etime coordina... View the full answer