PHYS 201 Midterm: PHYS 201 Drexel Exam3 Solutions

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turquoisegnu128

15 Feb 2019

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Document Summary

An advanced spacecraft travels past earth and mars in a straight line at speed v = 0. 8c at a time when earth and mars are 2. 4 1011 m apart. The distance is measured in the xed frame of reference, in which the. The measurement of the distance between earth and mars is taken by a ruler at rest in the earth and mars frame, and so is the proper length: lp = 2. 4 1011m. Thus if the velocity of the ship is v = 0. 8c in the earth-mars frame, the ship will take. = 1000s (b) in the frame in which the spacecraft is at rest, how fast are the. 5 (2. 4 1011m) = 1. 44 1011m. 1 q1 v2 c2 (0. 8c)2 c2 q1 . Thus they measure proper time and we can use the time dilation equation: We can also use the same method as in part a:

Related Questions

(a) How long does it take the astronaut in Example 28.2 to travel at (as measured by the Earth-bound observer)? (b) How long does it take according to the astronaut? (c) Verify that these two times are related through time dilation with as given.

Example 28.2 Calculating Length Contraction: The Distance between Stars Contracts when You Travel at High Velocity Suppose an astronaut, such as the twin discussed in Simultaneity and Time Dilation, travels so fast that . (a) She travels from the Earth to the nearest star system, Alpha Centauri, away as measured by an Earth-bound observer. How far apart are the Earth and Alpha Centauri as measured by the astronaut? (b) In terms of c , what is her velocity relative to the Earth? You may neglect the motion of the Earth relative to the Sun. (See Figure 28.11.)