Which one of the following statement is true: a. The center of mass of an object must lie within the object. b. The center of mass of an object cannot move if the net force exerted on the object is zero. c. All the mass of an object is actually concentrated at its center of mass. d. The center of mass of an object must lie outside the object. e. None of the above. ANS: e Can someone please explain why they're false. I know that the CofM can be outside the object or inside so I know a and d are false. I know, for instance, with a baseball bat that the hitting end is more massive and that the CofM is more towards the more massive object so I can assume that c is false. I'm not sure about b. Thanks

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 2.45P: In Chapter 9, we will define the center of mass of an object and prove that its motion is described...
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Which one of the following statement is true: 
a. The center of mass of an object must lie within the object. 
b. The center of mass of an object cannot move if the net force exerted on the object is zero. 
c. All the mass of an object is actually concentrated at its center of mass. 
d. The center of mass of an object must lie outside the object. 
e. None of the above.

ANS: e

Can someone please explain why they're false. I know that the CofM can be outside the object or inside so I know a and d are false. I know, for instance, with a baseball bat that the hitting end is more massive and that the CofM is more towards the more massive object so I can assume that c is false. I'm not sure about b. Thanks 

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