a) Depending on length contraction, the length of plank is longer than normal length for fast farmer. b) frog is a stational observer, the length of plank is shorter than normal. c) because the turkey is moving at same speed with farmer and in same frame, the length of ladder is same with farmer's view. A truck goes toward the East with the speed v = 0.8c, its length is 15m. The driver drives the truck to cross a road 8 meters wide. Let E₁ be the event of the front end of truck crossing the East side of the road, and E₂ of the rear end crossing the West side. Consider the point of view of the following observers: The driver; A people standing on the road; A car, running West with the same speed as the truck runs East For each of these observers, 1) find which event happens first, 2) calculate the time interval At = t₂ - t₁ between the two events, 3) calculate the spatial separation Ax X2X₁ between the two events, and 4) calculate the relativistic interval between the two events, I = Ax² - c²At². Perform these calculations without using directly the Lorentz transformations, but rather by considering time dilation, space contraction, etc. Check that the interval you obtain for the three observers above is invariant. What type of causal connection is there between the two events E₁ and E₂? Are they space-like, time-like, or light-like? Is this what you expect? Is it possible for another observer to see the two events happening simultaneously? If yes, find the velocity and direction of that observer relative to the road.
a) Depending on length contraction, the length of plank is longer than normal length for fast farmer. b) frog is a stational observer, the length of plank is shorter than normal. c) because the turkey is moving at same speed with farmer and in same frame, the length of ladder is same with farmer's view. A truck goes toward the East with the speed v = 0.8c, its length is 15m. The driver drives the truck to cross a road 8 meters wide. Let E₁ be the event of the front end of truck crossing the East side of the road, and E₂ of the rear end crossing the West side. Consider the point of view of the following observers: The driver; A people standing on the road; A car, running West with the same speed as the truck runs East For each of these observers, 1) find which event happens first, 2) calculate the time interval At = t₂ - t₁ between the two events, 3) calculate the spatial separation Ax X2X₁ between the two events, and 4) calculate the relativistic interval between the two events, I = Ax² - c²At². Perform these calculations without using directly the Lorentz transformations, but rather by considering time dilation, space contraction, etc. Check that the interval you obtain for the three observers above is invariant. What type of causal connection is there between the two events E₁ and E₂? Are they space-like, time-like, or light-like? Is this what you expect? Is it possible for another observer to see the two events happening simultaneously? If yes, find the velocity and direction of that observer relative to the road.
Related questions
Question
100%
Transcribed Image Text:a) Depending on length contraction, the length of plank is longer than normal
length for fast farmer.
b) frog is a stational observer, the length of plank is shorter than normal.
c) because the turkey is moving at same speed with farmer and in same frame,
the length of ladder is same with farmer's view.
A truck goes toward the East with the speed v = 0.8c, its length is 15m. The
driver drives the truck to cross a road 8 meters wide. Let E₁ be the event of the
front end of truck crossing the East side of the road, and E₂ of the rear end
crossing the West side. Consider the point of view of the following observers:
The driver;
A people standing on the road;
A car, running West with the same speed as the truck runs East
For each of these observers, 1) find which event happens first, 2) calculate the
time interval At = t₂ - t₁ between the two events, 3) calculate the spatial
separation Ax X2X₁ between the two events, and 4) calculate the
relativistic interval between the two events, I = Ax² - c²At². Perform these
calculations without using directly the Lorentz transformations, but rather by
considering time dilation, space contraction, etc.
Check that the interval you obtain for the three observers above is invariant.
What type of causal connection is there between the two events E₁ and E₂? Are
they space-like, time-like, or light-like? Is this what you expect? Is it possible
for another observer to see the two events happening simultaneously? If yes,
find the velocity and direction of that observer relative to the road.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
