Determining the Length of a Wire Using Hooke's Law
To determine the length of the wire when the tension in it is 7 N, we need to use the concept of Hooke's Law. Hooke's Law states that the force needed to stretch or compress a spring is directly proportional to the displacement of the spring. In other words, the force (F) required to stretch a spring is equal to the spring constant (k) multiplied by the displacement (x) of the spring. This can be expressed mathematically as: F = kx In the case of a wire, the spring constant (k) is defined as the ratio of the force applied to the wire (F) to the change in length of the wire (ΔL). This can be expressed mathematically as: k = F / ΔL Therefore, if we know the spring constant (k) of a wire, we can use Hooke's Law to determine the length of the wire when a specific force is applied. To determine the length of the wire when the tension is 7 N, we need to first determine the spring constant (k) of the wire. To do this, we can use the information given in the problem: the length of ...