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SOLUTIONS TO EXERCISE 10
(a) The distance between Earth and Voyager 2 was 35 AU, or
35 * 1.5 * 10^11 m = 5.25 * 10^12 m = 5.25 * 10^9 km. So the
time taken by radio waves to arrive at Earth from Voyager 2 was
distance 5.25 * 10^9 km
t = -------- = -------------- = 17500 sec = 4 hrs and 52 min.
velocity 3 * 10^5 km/s
(b) At a speed of 40000 km/hr, Voyager 2 travelled a distance of
40000 km/hr
d = speed * time = ----------- * 17500 sec = 1.94 * 10^5 km
3600 sec/hr
during the time a radio signal travelled to get from Voyager 2
to Earth - more than half the distance between Earth and the Moon.
(c) The flux of the transmitter on Earth's surface was
Luminosity 550 Watts
F = ----------------- = -----------------------------
4*pi*(distance)^2 4 * 3.14 * (5.25 * 10^12 m)^2
= 1.59 * 10^(-24) Watts per square meter.
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