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Course
SOC 1520
Subject
Physics
Date
Dec 20, 2024
Pages
1
Uploaded by ElderWildcat4840
21. (25 points]| Alice and Bob are taking their final Physics Exam. Alice is taking her exam in her room on Earth, while Bob is traveling toward Mars at speed «. In his reference frame (S’) Bob takes a time 7'z to finish the exam, while he sees Alice finishing in a time 7'4. a) How long does Bob's exam last in Alice’s reference frame (5)? b) How long does Alice’s exam last in her reference frame? ¢) How far is Bob from Earth, in his reference frame, by the time he finishes his test? Assume that he leaves Earth when his exam starts and neglect any acceleration to reach the speed u. d) How far is he in Alice’s reference frame? a) bob’s exam time 1s dilated in Alice’s reference frame. T' _ B T, = - u l== C b) Alice’s exam time 1s dilated in Bob’s reference frame. 2 TA=T‘M’I-M—2 C c) bob’s exam time is Tg' in his reference frame and the earth in his reference frame is moving away with a speed of u. Ty d) Bob’s exam time in Alice reference frame is Tg and the Bob in her reference frame is moving away with a speed of u. 15