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Get Full Access to University Physics - 13 Edition - Chapter 4 - Problem 20e
Get Full Access to University Physics - 13 Edition - Chapter 4 - Problem 20e

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# An astronaut’s pack weighs 17.5 N when she is on the earth ISBN: 9780321675460 31

## Solution for problem 20E Chapter 4

University Physics | 13th Edition

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Problem 20E

An astronaut’s pack weighs 17.5 N when she is on the earth but only 3.24 N when she is at the surface of a moon. (a) What is the acceleration due to gravity on this moon? (b) What is the mass of the pack on this moon?

Step-by-Step Solution:

Solution 20E The weight is defined as how much normal reaction an object gets. An object of mass “m” is placed on the horizontal surface of earth exerts a force f mg on earth’s surface. By the same time, according to Newton’s 3rd law, it gets the same normal reaction force mg from earth’s surface. 2 So the weight will be mg = mass × 9.8 m/s . Step 1: The astronaut’s weight on earth is, w = mg = 17.5 N m = 17.5 N / 9.8 = 1.785 kg The mass of the astronaut is 1.785 kg. a) On the surface of moon she weighs 3.24 N. mg moon = 3.24 g moon = 3.24 / 1.785 = 1.815 m/s . 2 The acceleration due t gravity at moon is 1.815 m/s . b) The mass is an invariant quantity which is same on earth as well as moon or anywhere else. So, the mass on the moon is 1.785 kg.

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