The star system named Epsilon is a distance 10.8 light-years from the earth. The earth and...

 

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The star system named Epsilon is a distance 10.8 light-years from the earth. The earth and Epsilon are assumed to be at rest relative to one another. Earth plans to launch a probe that will make the journey from earth to Epsilon at a constant velocity of 0.3c, where c-3.00x108 m/s is the speed of light. Define +x to be from earth to Epsilon. (A light-year is the distance traveled by light in 1 year) (a) How long does the journey take when measured in the Earth frame? (4 points.) (b) How long does the journey take when measured in the probe's frame? (5 point) (c) If the Epsilon has an inhabited planet, and the inhabitants launch an interceptor straight at the probe at a velocity of -0.7c along the x direction in the earth-Epsilon rest frame, what would the velocity of the interceptor be as seen by the probe which is traveling at +0.3c along the x direction in the earth-Epsilon rest frame? (6 points) The star system named Epsilon is a distance 10.8 light-years from the earth. The earth and Epsilon are assumed to be at rest relative to one another. Earth plans to launch a probe that will make the journey from earth to Epsilon at a constant velocity of 0.3c, where c-3.00x108 m/s is the speed of light. Define +x to be from earth to Epsilon. (A light-year is the distance traveled by light in 1 year) (a) How long does the journey take when measured in the Earth frame? (4 points.) (b) How long does the journey take when measured in the probe's frame? (5 point) (c) If the Epsilon has an inhabited planet, and the inhabitants launch an interceptor straight at the probe at a velocity of -0.7c along the x direction in the earth-Epsilon rest frame, what would the velocity of the interceptor be as seen by the probe which is traveling at +0.3c along the x direction in the earth-Epsilon rest frame? (6 points)