As measured by an observer on the Earth, a spacecraft runway on Earth has a leng
ID: 1646931 • Letter: A
Question
As measured by an observer on the Earth, a spacecraft runway on Earth has a length of 3700 m. A spacecraft flies past the runway at a speed of v = 0.2c relative to the earth. a) The proper time is measured in the: Earth's reference frame Spaceship reference frame b) The proper length is measured in the: Earth's reference frame Spaceship reference frame c) What is the length of the runway as measured by the pilot in the spacecraft? d) An observer on earth measures the time interval from when the spacecraft is directly over one end of the runway until it is directly over the other end. What is the time measured?Explanation / Answer
a) by measuring the time from the space ship to get the proper time
b) from earth refference frame
c) l = lo/gamma
gamma = 1/sqrt(1-v^2/c^2) = 1/sqrt(1-0.2^2) = 1.02
l = l0/1.02 = 3700/1.02 = 3627.45 m
d) time = distance/speed = 3700/0.2*3*10^8 = 61.7*10^-6 s
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