Newton’s Law of Gravity Jean Brainard, Ph.D. Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit www.ck12.org CK-12 Foundation is a non-profit organization with a mission to reduce the cost of textbook materials for the K-12 market both in the U.S. and worldwide. Using an open-source, collaborative, and web-based compilation model, CK-12 pioneers and promotes the creation and distribution of high-quality, adaptive online textbooks that can be mixed, modified and printed (i.e., the FlexBook® textbooks). Copyright © 2017 CK-12 Foundation, www.ck12.org The names “CK-12” and “CK12” and associated logos and the terms “FlexBook®” and “FlexBook Platform®” (collectively “CK-12 Marks”) are trademarks and service marks of CK-12 Foundation and are protected by federal, state, and international laws. Any form of reproduction of this book in any format or medium, in whole or in sections must include the referral attribution link http://www.ck12.org/saythanks (placed in a visible location) in addition to the following terms. Except as otherwise noted, all CK-12 Content (including CK-12 Curriculum Material) is made available to Users in accordance with the Creative Commons Attribution-Non-Commercial 3.0 Unported (CC BY-NC 3.0) License (http://creativecommons.org/ licenses/by-nc/3.0/), as amended and updated by Creative Commons from time to time (the “CC License”), which is incorporated herein by this reference. Complete terms can be found at http://www.ck12.org/about/ terms-of-use. Printed: January 23, 2017 AUTHOR Jean Brainard, Ph.D. www.ck12.org C HAPTER Chapter 1. Newton’s Law of Gravity 1 Newton’s Law of Gravity Learning Objectives • Describe Newton’s law of universal gravitation, and explain why it was so important. • Identify factors that affect the strength of gravity between two objects. You may have heard a story about Isaac Newton coming up with the idea of gravity when an apple fell out of a tree and hit him in the head. The story isn’t true, but seeing how things like apples fall to Earth helped Newton form his ideas about gravity, the force of attraction between things that have mass. Of course, people had known about the effects of gravity for thousands of years before Newton came along. After all, they constantly experienced gravity in their daily lives. They observed over and over again that things always fall toward the ground. However, it wasn’t until Newton developed his law of gravity in the late 1600s that people knew gravity applies to everything in the universe that has mass. Newton’s Law of Universal Gravitation Newton was the first one to suggest that gravity is universal and affects all objects in the universe. That’s why Newton’s law of gravity is called the law of universal gravitation. Universal gravitation means that the force that causes an apple to fall from a tree to the ground is the same force that causes the moon to keep moving around Earth. Universal gravitation also means that while Earth exerts a pull on you, you exert a pull on Earth. In fact, there is gravity between you and every mass around you—your desk, your book, your pen. Even tiny molecules of gas are attracted to one another by the force of gravity. Q: Newton’s law of universal gravitation had a huge impact on how people thought about the universe. Why do you think it was so important? A: Newton’s law was the first scientific law that applied to the entire universe. It explains the motion of objects not only on Earth but in outer space as well. 1 www.ck12.org Factors That Influence the Strength of Gravity Newton’s law also states that the strength of gravity between any two objects depends on two factors: the masses of the objects and the distance between them. • Objects with greater mass have a stronger force of gravity between them. For example, because Earth is so massive, it attracts you and your desk more strongly that you and your desk attract each other. That’s why you and the desk remain in place on the floor rather than moving toward one another. • Objects that are closer together have a stronger force of gravity between them. For example, the moon is closer to Earth than it is to the more massive sun, so the force of gravity is greater between the moon and Earth than between the moon and the sun. That’s why the moon circles around Earth rather than the sun. You can see this in the Figure 1.1. FIGURE 1.1 Summary • Newton’s law of universal gravitation states that the force of gravity affects everything with mass in the universe. • Newton’s law also states that the strength of gravity between any two objects depends on the masses of the objects and the distance between them. Review 1. What is Newton’s law of universal gravitation? 2. Describe the relationship between the masses of two objects and the force of gravity between them. 3. If two objects each have a mass of 10 kg, then the force of gravity between them a. b. c. d. is 100 kg. is constant. depends only on their masses. is greater when they are closer together. Explore More Watch the short video about Newton’s law of gravity and then answer the questions below. 2 www.ck12.org Chapter 1. Newton’s Law of Gravity MEDIA Click image to the left or use the URL below. URL: http://www.ck12.org/flx/render/embeddedobject/1453 1. What equation did Newton use to represent the force of gravity between two objects? What does each letter in the equation stand for? Which letter stands for a value that never changes? 2. Based on the equation, how does the force of gravity between two objects change when the mass of one of the objects doubles? 3. If the distance between the two objects doubles, how does this affect the force of gravity between them? Resources MEDIA Click image to the left or use the URL below. URL: http://www.ck12.org/flx/render/embeddedobject/186748 MEDIA Click image to the left or use the URL below. URL: http://www.ck12.org/flx/render/embeddedobject/186750 3 www.ck12.org References 1. User:Tó campos/Wikipedia. The moon is much closer to the Earth than the sun . Public Domain 4
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