Request for hard Relativity questions

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A sophomore preparing for a Modern Physics exam is seeking challenging relativity problems beyond those provided in Sayer's 3rd Edition. The exam will cover topics such as time dilation, length contraction, the Doppler effect, and relativistic conservation of momentum and mass-energy. The student feels comfortable with the material but wants to ensure thorough preparation by exploring harder questions. They are looking for problems from alternative texts and insights on what difficult questions might be included in the exam. Engaging with the community for additional resources and challenging problems is the primary focus of the discussion.
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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.
 
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