Question: help Physics 262 - Final Exam 3 . 2. (25 pts) The starship Enterprise is moving away from the Earth at a speed of 4/5c.

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Physics 262 - Final Exam 3 . 2. (25 pts) The starship Enterprise is moving away from the Earth at a speed of 4/5c. The length of Enterprise as measured by the starship captain is 100m. A shuttle is launched from the shuttle bay on the back of Enterprise. With respect to the crew on the Enterprise, the shuttle travels at a speed of 3/5c in the same direction as the Enterprise. a) How fast is the shuttle moving with respect to an observer on Earth? b) What is the length of the Enterprise as observed by the Earth's observer? c) What is the length of the Enterprise as observed by the person in the shuttle? The shuttle's pilot sends a signal out to everyone when it leaves the shuttle bay and sends another signal out when it reaches the front of Enterprise. What is the duration of the two signals according to the shuttle's pilot? e) What is the duration of the two signals according to the Enterprise's crew? f) What is the duration of the two signals according to the Earth's observer? [All lengths are measured along the direction of relative motion. Keep 3 significant figures in your answers.]

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