   # Unreasonable Result A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00% of his weight. (a) Calculate the mass of the mountain. (b) Compare the mountain's mass with that of Earth. (c) What is unreasonable about these results? (d) Which premises are unreasonable or inconsistent? (Note that accurate gravitational measurements can easily detect the effect of nearby mountains and variations in local geology.) ### College Physics

1st Edition
Paul Peter Urone + 1 other
Publisher: OpenStax College
ISBN: 9781938168000

#### Solutions

Chapter
Section ### College Physics

1st Edition
Paul Peter Urone + 1 other
Publisher: OpenStax College
ISBN: 9781938168000
Chapter 6, Problem 42PE
Textbook Problem
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## Unreasonable ResultA mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00% of his weight.(a) Calculate the mass of the mountain.(b) Compare the mountain's mass with that of Earth.(c) What is unreasonable about these results?(d) Which premises are unreasonable or inconsistent? (Note that accurate gravitational measurements can easily detect the effect of nearby mountains and variations in local geology.)

To determine

(a)

Mass of the mountain.

### Explanation of Solution

Given:

A mountain 10km from a person exerts a gravitational force on him equal to 2.00% of his weight.

Formula used:

The gravitational force is given by the formula,

F=GMmr2

F=maHere a=g thus, F=mg

Calculation:

The gravitational force exerted by a mountain 10km from a person is equal to 2.00% of his weight.

Substituting this in the formula we get-

F=GMmr2=(2%)×mg

Here M = mass of the mountain , m = mass of the person, r = 10 km

GMr2=2g100

M=16

To determine

(b)

The mountain's mass with that of Earth.

To determine

(c)

To explain:

To determine

(d)

To explain:

Which premises are unreasonable or inconsistent.

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