College Physics
College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 3, Problem 1CQ

Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth's population, the acceleration of gravity?

Expert Solution & Answer
Check Mark
To determine

The vector quantity for the given examples.

Answer to Problem 1CQ

The acceleration of gravity is the only vector quantity

Explanation of Solution

Given Information:

A person’s height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, and the acceleration of gravity.

Introduction:

A scalar quantity is usually depicted by a number, numerical value, or a magnitude.

A vector is described by both direction and magnitude.

A person’s height is independent of direction because it is measured in inches and thus it is a scalar quantity.

The altitude on Mt. Everest is a fixed number because it is measured in meters, thus it is a scalar quantity.

The age of the Earth is measured in years. It is independent of direction and thus it is a scalar quantity.

The boiling point of water usually takes place at 100 degree Celsius which is also independent of direction and thus it is a scalar quantity.

The cost of this book is measured in rupees (i.e., fixed number) and thus it is a scalar quantity.

The Earth’s population may increase or decrease but there is no direction of its movement and thus it is a scalar quantity.

The acceleration of gravity may be positive and negative depending on its direction and thus it is a vector quantity.

Conclusion:

The acceleration of gravity is the only vector quantity.

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Chapter 3 Solutions

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