Chapter 39455P39.65Look at the situation from the instructors’ viewpoint since they are at rest relative to the clock, andhence measure the proper time. The Earth moves with velocity vc=−0280.relative to theinstructors while the students move with a velocity ′=−uc0600.relative to Earth. Using the velocityaddition equation, the velocity of the students relative to the instructors (and hence the clock) is:uvuvu ccccc=+′+′=−−+−−10 2800 60010 2800 600075322...afafafaf(students relative to clock).(a)With a proper time interval of ∆tp=50 0. min , the time interval measured by the students is:∆∆ttp=γwith=−=11075315222...Thus, the students measure the exam to last T==152500760.minminutes.(b)The duration of the exam as measured by observers on Earth is:p=with =−128022.so T104500521.minminutes.P39.66The energy which arrives in one year is
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