Request for hard Relativity questions

In summary, the conversation is about a student seeking help for their upcoming Modern Physics exam. They mention the topics they will be tested on and express a desire to be as prepared as possible. They also ask for suggestions on challenging problems from alternative texts and for input from someone with knowledge of the class.
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I don't know if this is the right forum. Please move it to a better suited one if it exists.

Basic info: I am a sophomore taking Modern Physics and will be having my first exam this thursday. I've solved a healthy amount of problems already, but I wouldn't mind being as prepared as possible. We are using Sayer's 3rd Edition of Modern Physics and will be tested on chapters 1 & 2, which are Relativity I and Relativity II. That doesn't offer much information... If you're not familiar with the book, chapter 1 covers time-dilation, length-contraction, the doppler effect and chapter 2 covers relativistic conservation of momentum and mass as energy.
I'm pretty comfortable with the material. This might be because I haven't been hit with a truly challenging problem yet. I don't expect the professor to put questions straight out of the book on the test, so I'm wondering if any of you have problems from alternative texts that relate well with this material. And, if you're extremely familiar with this class, what hard question would you yourself put on the test or expect to see on the test?
 
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I am now bumping this thread.
 

FAQ: Request for hard Relativity questions

What is hard relativity?

Hard relativity refers to the study and application of Einstein's theory of Special Relativity, which deals with the behavior of objects moving at high speeds and in the presence of strong gravitational fields.

What are some practical applications of hard relativity?

Hard relativity has many practical applications, including GPS technology, particle accelerators, and astrophysics research. It also plays a crucial role in modern technologies such as nuclear power and medical imaging.

How does hard relativity differ from classical physics?

Hard relativity differs from classical physics in many ways, including the concept of time dilation, length contraction, and the idea that the laws of physics are the same for all observers in uniform motion. It also states that the speed of light is constant and the maximum achievable speed in the universe.

Can you provide an example of the effects of hard relativity?

One example of the effects of hard relativity is the famous Twin Paradox, where one twin travels at high speeds in space while the other remains on Earth. When they are reunited, the twin who traveled will have aged less due to time dilation.

What are some current research topics in hard relativity?

Some current research topics in hard relativity include the search for gravitational waves, the study of black holes and their effects on spacetime, and the development of new technologies to test and apply the principles of hard relativity.

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