Someone moves to the top of the World Trade Center in New York and moves back to the ground floor after one year according to a clock located at the ground floor. By how much did this person age?

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In this problem, we can use that for weak gravitational fields the metric only slightly deviates from the Lorentzian metric, according to:

ds^2 = (1 + 2 V) dt^2 - (dx^2 + dy^2 + dz^2)

where V is the gravitational potential (denoted as phi in your notes) and we're using c = 1 units. The meaning of this is as follows. The value for the coordinates t, x, y, and z are arbitrary, they are just labels denoting space-time points that you are free to change, but ds^2 evaluated between two neighboring points will always tell you the distance between the points, no matter how you have decided to relabel the space-time coordinates. Here the distance refers to a distance defined in the four dimensional space time: ds^2 = time difference^2 - spatial ...

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This solution provides a detailed, accessible solution fro people without knowledge of the theory of relativity.

Write the ordered pairs for each coordinate. Use the scale factor to determine the coordinates of the transformed figure. Write the ordered pairs using arrow notation and graph the dilated image.
See attached file for graphs to go along with each problem.

Which of the following statements are true about timedilation?
1. Timedilation suggests that an astronaut traveling to a distant star would actually age less than we would have measured at rest on Earth
2. Timedilation can be summarized by saying that a moving clock runs slower as compared to a clock at rest
3. Ti

The radar antenna on a navy ship rotates with an angular speed of 0.22 rad/s. What is the angular speed of the antenna as measured by an observer moving away from the antenna wth a speed of 0.62c?

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If you were moving away from Earth at nearly lightspeed without acceleration, according to Einstein's special theory of relativity, would you notice any change in your pulse? Any change in your breathing rate? Anything unusual about your clocks? Why?

Hi. I'm confused about the following problem:
Problem: The radar antenna on a navy ship rotates with an angular speed of 0.22 rad/s. What is the angular speed of the antenna as measured by an observer moving away from the antenna with a speed of 0.62c?
I don't know how to find delta t and delta t0. Is 0.22 rad/s the proper

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