Relativity Problem: Sweep Laser for v > c on Moon's Surface

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In summary, in order for the light spot to streak across the Moon's surface with a speed greater than the speed of light, the laser must be swept at a minimum angular speed of omega = c/R. This is due to the fact that the speed of light is limited and cannot be exceeded. As for transmitting information between research bases on the Moon using the flying spot, this is not possible as the laser would need to sweep at an angular speed greater than the speed of light, which is not physically possible. However, the laser can be used on Earth to allow communication between different moon bases.
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Homework Statement



You point a laser flahlight to the Moon, producing a spot of light on the moons surface. At what minimum angular speed must you sweep the laser in order for the light spot to streak across the moons surface with speed v > c? Why can't you transmit information between research bases on the Moon with the flying spot?

Homework Equations





The Attempt at a Solution



The problem is utilizing the correct length. I measure it smaller then it is, since I am so far away. but is there a way to calculate that?
 
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V = omega x R

V = c
R = about 380,000 km
omega = angular velocity in radians/s

For the second part think how you might use the laser on Earth to allow different moon bases to communicate.
 

1. What is the "Relativity Problem" and why is it significant?

The "Relativity Problem" refers to the issue of how to reconcile the principles of relativity, which state that the speed of light is constant and cannot be exceeded, with the concept of a sweep laser moving faster than the speed of light. This problem is significant because it challenges our understanding of the laws of physics and has implications for our understanding of the universe.

2. How does a sweep laser work?

A sweep laser is a type of laser that emits a beam of light that is quickly swept across a surface. This is achieved by rapidly changing the frequency of the light, causing it to appear as a continuous beam to the human eye. This technology is commonly used in laser scanners and other applications that require precise measurements of distance or movement.

3. Is it possible for a sweep laser to exceed the speed of light on the Moon's surface?

No, it is not possible for a sweep laser to exceed the speed of light on the Moon's surface. This is because the speed of light is a fundamental constant in the universe and cannot be exceeded by any object or technology, including a sweep laser.

4. What would happen if a sweep laser were to exceed the speed of light on the Moon's surface?

If a sweep laser were to somehow exceed the speed of light on the Moon's surface, it would violate the laws of physics and cause a number of paradoxes and inconsistencies. For example, time would appear to run backwards, and the laser beam would appear to arrive at its destination before it was even emitted.

5. How do scientists reconcile the "Relativity Problem" in relation to a sweep laser on the Moon's surface?

Scientists are still studying and researching ways to reconcile the "Relativity Problem" in relation to a sweep laser on the Moon's surface. Some theories suggest that the laws of relativity may need to be modified or expanded to account for the unique conditions on the Moon, while others propose alternative explanations for the apparent violation of the speed of light. This remains an active area of research in the field of physics.

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