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 17, Problem 1P

Imagine that a spacecraft has landed on Mercury and is transmitting radio signals to Earth at a wavelength of 10.000 cm. When Mercury is seen from Earth in the evening sky, at its greatest angular distance east of the Sun, it is moving toward Earth at its maximum possible relative speed of 47.9 km/s. To what wavelength must you tune your radio telescope to detect the signals? (Hint: Use the Doppler formula in Reasoning with Numbers 6-2.)

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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?
There is one part to this question. I need to know the cm. Thank you!
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