Determining Breaking Point Force of a Longer Wire

[mp10bo]

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.

 

[Delphi51]

Tricky to prove! It think you would imagine the longer wire made up of two shorter ones with an unbreakable joint.