Determining Breaking Point Force of a Longer Wire

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A wire stretched to its breaking point by a 5000N force raises questions about the breaking point force of a longer wire made from the same material and diameter. The consensus is that the breaking force for the longer wire will be equal to 5000N, as the material properties and diameter remain unchanged. The discussion emphasizes that the longer wire can be conceptualized as two shorter wires connected by an unbreakable joint, which does not alter the overall breaking force. Proving this involves understanding the principles of tensile strength and material behavior under stress. Ultimately, the breaking force remains consistent regardless of the wire's length.
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Homework Statement



A wire is streached right to the breaking point by a 5000N force. A longer wire made of the same material has the same diameter. Is the force that will stretch it right to the breaking point larger than, smaller than, or equal to 5000N? Prove your answer.
 
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Tricky to prove! It think you would imagine the longer wire made up of two shorter ones with an unbreakable joint.
 
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