Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 15 - Fluids and Elasticity - Conceptual Questions - Page 435: 13

Answer

$\rm Equal $

Work Step by Step

We know that the stress (Tensile stress) exerted on the wire is given by $${\rm Stress}=\dfrac{F}{A}$$ The breaking point in our case is when the force exceeds 5000 N for a wire of a cross-sectional area of $A$. And since the new longer wire is made from the same material and has the same cross-sectional area $A$, then it must have the same breaking point at a force that exceeds $F=5000$ N. In other words, the stress formula has nothing to do with the length of the wires as it depends only on its cross-sectional area as we see in the equation above. Therefore, the answer is the breaking point is $\rm \bf Equal \;to \;5000\;N$
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