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(Solved): You serve on a asteroid-watch station when the computer reports that as a result of the current pass ...



You serve on a asteroid-watch station when the computer
reports that as a result of the current passage of Mars, one of the earth-
orbit crossing asteroids with a known mass of m = 4 1013 tons,
changed orbit and is now on a course of direct collision with earth. To
assess the situation you bounce a radar signal to the asteroid.
(a) What is the distance to the asteroid if the signal returns for 36
seconds?
(b) Your radar operates at frequency of f0 = 20 GHz (wavelength of 1.5
cm), the received back signal has a wavelength of = 1.49988 cm. What
is the speed of the asteroid?
(c) How many hours remain until the collision?
(d) What is the kinetic energy of the asteroid?



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A. Distance = time × speed of signal/2 = 36×300000000/2 = 5400000000 m
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