College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 2 - Problems - Page 67: 59

Answer

(a) The man's weight on Mars would be 240.5 N. The man's weight would be 2.65 times more on Earth than on Mars. (b) The man's weight on Venus would be 578.5 N. The man's weight would be 1.10 times more on Earth than on Venus. (c) The man's weight on the Earth's moon would be 104 N. The man's weight would be 6.125 times more on Earth than on the Earth's moon.

Work Step by Step

We can find the man's weight on the Earth: $weight = (65~kg)(9.80~N/kg) = 637~N$ (a) We can find the man's weight on Mars: $weight = (65~kg)(3.7~N/kg) = 240.5~N$ We can find the ratio of the weights: $\frac{637~N}{240.5~N} = 2.65$ The man's weight on Mars would be 240.5 N. The man's weight would be 2.65 times more on Earth than on Mars. (b) We can find the man's weight on Venus: $weight = (65~kg)(8.9~N/kg) = 578.5~N$ We can find the ratio of the weights: $\frac{637~N}{578.5~N} = 1.10$ The man's weight on Venus would be 578.5 N. The man's weight would be 1.10 times more on Earth than on Venus. (c) We can find the man's weight on the Earth's moon: $weight = (65~kg)(1.6~N/kg) = 104~N$ We can find the ratio of the weights: $\frac{637~N}{104~N} = 6.125$ The man's weight on the Earth's moon would be 104 N. The man's weight would be 6.125 times more on Earth than on the Earth's moon.
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