Answer
One-quarter the astronaut's weight on Earth.
Work Step by Step
$$Weight_{on Earth}= G \frac{M_{Earth} m}{(d_{Earth})^{2}}$$
$$Weight_{new \;planet}= G \frac{M_{Earth} m}{(2 d_{Earth})^{2}} = \frac{1}{4} \times Weight_{on Earth}$$
Conceptual Physics (12th Edition)
by Hewitt, Paul G.
Published by
Addison-Wesley
ISBN 10:
0321909100
ISBN 13:
978-0-32190-910-7
Chapter 9 - Think and Explain - Page 179-180: 59
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