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At time t-0 Captain Kirk begins a trip at speed 0.99c (which is technically possible under impulse power, though not recommended due to the effects of time dilation on the crew, as we investigate here) from Earth to Beta Hydri, located 24 ly away. Assume that Earth and Beta Hydri are at rest with respect to one another. a - 2.5 pts) According to a person who stays home on Earth, how long does the trip take? b-2.5 pts) According to Kirk, how long does it take? c-2.5 pts) According to Kirk, how far does he travel between Earth and Beta Hydri? d - 2.5 pts) As soon as Kirk arrives at Beta Hydri, he sends a radio signal back to Earth to notify us that he has arrived on Beta Hyrdi. How long after watching Kirk leave Earth does an Earthling receive this signal? EC +2 pts) Briefly describe the technique you will use to measure the wavelength of the standing microwaves. Also answer - if you pass the receiver through 20 nodes, how many wavelengths will this correspond to?
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