Final answer:
The subject question is related to the concept of the Young's modulus in Physics, which describes the ratio of stress over strain in the elastic range of materials. In the context of a trapeze artist or a tightrope walker, it allows for the calculation of how much wires or bones stretch under stress.
Step-by-step explanation:
The elastic modulus that describes the relationship between stress and strain for a trapeze artist swinging through a circular arc can vary based on the context. If focusing on the trapeze wires, the relevant modulus would typically be the Young's modulus. However, when considering the stretching of the artist's body or limbs, as in the provided reference examples where the femurs of a performer are being stretched due to the force exerted by another performer, the Young's modulus would again be applicable. In these scenarios, the stress placed upon the wire or bones causes an amount of strain, and the Young's modulus helps to quantify this relationship.
For the tightrope walker scenario provided, although the elastic modulus is not directly discussed, concepts of tension, force, and the importance of angle for the wire support are relevant for determining the stress and resulting elongation or strain, which would ultimately be governed by the elastic properties of the material. In order to solve for the stretching of the wire or bones in these examples, one would use the definition of Young's modulus, which is the ratio of stress over strain in the range where they are proportional to each other. This requires knowing the material properties, the force applied, and geometrical dimensions of the object.