Horizons: Exploring the Universe (MindTap Course List)
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 18, Problem 8P
To determine

The time taken by radio commands to travel from Earth to Voyager 2 as it passed Jupiter.

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Calculate how long radio communications from the spacecraft will take when it encounters Mars.  The furthest distance from Earth to Mars is 2.66 AU.  Remember that 1 AU = 1.5 x 1011 m and that light travels at 3 x 108 m/s.  So how long will the radio messages take to travel this greatest distance of 2.66 AU?           If two way communication between the Earth and the spacecraft involve a 1 s time lapse before an acknowledging signal is sent by the spacecraft, how long a time is there between sending a command to the spacecraft and receiving a reply?
Voyager 2. When the Voyager 2 spacecraft was approaching towards its Neptune encounter in 1989, it was 4.5 × 10° km away from the earth. Its radio transmitter, with which it communicated with us (and we communicated with it), broadcast with a mere 22 Watt of power at the S-band (2.1 GHz). (Your home wi-fi router emits around 2 Watt at 2.4 GHz wi-fi band). Assuming the Voyager transmitter broadcast equally in all directions, (a) What signal intensity was received on the earth? (b) What electric and magnetic field amplitudes were detected? (c) How many 2.1 GHz photons were arriving per second on a radio-receiver antenna with a circular cross-section of diameter 34 meters? Two counter-propagating plane waves (a) Let E(z, t) = E0 cos(kz – wt)â + E, cos(kz + wt)x. Write E(z, t) in simpler form and find the associated magnetic field. (b) For the fields in part (a), find the instantaneous and time-averaged electric and magnetic field energy densities. (c) Let E(z, t) = E, cos(kz – wt)x + E,…
You are a rover pilot on the crew of the initial exploration team sent to Kepler 22b,the first extrasolar planet discovered within the habitable zone of a sun-like star. Thescience team recently discovered liquid water on the surface. (Hurrah!) Your rover isat point A on the shore of a circular lake with radius 4 km collecting samples. Thescience team wants to send your rover to a point C diametrically opposite A. Therover can drive around the circumference of the lake at a rate of 4 km per hour andfly over the lake at a rate of 3 km per hour.(a) How long will it take the rover to fly across the lake?(b) How long will it take the rover to drive around the shore of the lake?You could also fly at an angle θ along a chord inside the circular lake, andcomplete the rest of the path driving along the circumference of the lake.(c) Find the length of the chord in terms of θ. How long will it take the drone totraverse the chord?(d) Find the length of the remaining shoreline after the cord in…
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