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Using arguments similar to those of Section 15.2, prove

Chapter 15, Problem 15.1

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QUESTION:

Using arguments similar to those of Section 15.2, prove that Newton's first and third laws are invariant under the Galilean transformation.

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QUESTION:

Using arguments similar to those of Section 15.2, prove that Newton's first and third laws are invariant under the Galilean transformation.

ANSWER:

Step  1 of 3

We can see that if we have a force that produces an acceleration  in one system, the

 acceleration is the same in all Galilean transformed systems. So, if we have no force, there is no  and no , which means no acceleration in any system transformed by Galilean transformations. Thus, the body continues his motion unless acted on by a force.

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