Answered: 5. If the Magellan spacecraft…

Horizons: Exploring the Universe (MindTap Course List)

14th Edition

ISBN:9781305960961

Author:Michael A. Seeds, Dana Backman

Publisher:Michael A. Seeds, Dana Backman

Chapter17: Mercury, Venus, And Mars

Section: Chapter Questions

Problem 2P

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5. If the Magellan spacecraft transmitted radio signals down through the clouds of Venus and heard an echo from a certain spot 0.000133 seconds before the main echo, how high is the spot above the surface of Venus, in meters and kilometers?

Expert Solution

Step 1

Given Data:

The time in which echo was heard is, $t = 0.000133 s$

The distance traveled by a radio signal in a given time t is given as,

$d = c t . . . . . . . . . . . . . . . . . . . (1)$

Here, c is the speed of light, and t is the time.

The distance traveled by the echo of the radio signal reflected from the spot will be,

$t = 2 d . . . . . . . . . . . . . . . (2)$

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