Physics

Physics

Problem

A 10 kg mass hangs from a wire that is suspended from the intersection of two wires, as shown in the diagram below. ![](https://storage.googleapis.com/diraq-contents/PROD/homework-question-parsing/marker/20260302T003150Z/fde08735bf484e66acbfd517c9de4902/68d50e85fb8de4fae0e0eafaf20e63c0_img.jpg) The *tension* in a wire is defined to be the force pulling the ends away from each other. For example, if gg is the gravitational acceleration near Earth's surface, then the tension in the vertical wire (remembering that (force)=(mass)⋅(acceleration)(\text{force}) = (\text{mass}) \cdot (\text{acceleration})) is 10 kg⋅g10\text{ kg} \cdot g, where kg⋅g\text{kg} \cdot g are the units of force. The tension in the leftmost wire is x kg⋅gx\text{ kg} \cdot g for some real number xx. Find the value of xx.

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