S09Mod_Exam1

# Modern Physics

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Exam 1 (midterm) S09 Modern You may drop one task of problem one to three and one task of problem four to six. You must indicate your choice or I will select three tasks for each section by rough inspection without actually grading all four problems of a section. (This could lead to you receiving less than the maximum possible credit for the exam.) For full credit - show all important steps in your calculations - sketch and write legibly - argue in such a way that your logic is easy to follow

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1) Relativistic Length Contraction and Time Dilation Two rockets move along a line x and are observed from the nearby Earth. Rocket A moves with 0.8c relative to Earth from the left to the right, rocket B moves with 0.9c relative to Earth from the left to the right, too. At rest, both rockets are 50[m] long. a) How long do rocket A and B, respectively, appear to an observer on Earth? b) Each rocket sends out a light signal at t=t’=t’’=0 when each rocket is passing Earth at x=0, which lasts precisely 1[s] at the transmitter. How long do the light signals appear to be to an observer on Earth?
2) Relativistic Mass, Energy, and Momentum A particle of rest mass 2m 0 collides with a resting particle of rest mass m 0 at speed v= 0.95c. After the collision, both particles move on as one in the same direction as the 2m 0 particle was incident in. What is the rest mass of the resulting single body?

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S09Mod_Exam1 - Exam 1(midterm S09 Modern You may drop one...

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