To calculate the extra work for Hooke's Law spring, you can use the formula W = ½kx², where W is the work, k is the spring constant, and x is the displacement from the equilibrium position. This formula assumes that the force applied to the spring is proportional to the displacement.
Hooke's Law states that the force applied to a spring is directly proportional to the displacement from its equilibrium position. This law is used to calculate the extra work done on a spring, as the amount of work is directly related to the displacement of the spring.
Hooke's Law is applicable to most types of springs, as long as the force applied to the spring is proportional to the displacement. However, for non-linear springs, such as rubber bands, a modified version of Hooke's Law may need to be used.
The spring constant, denoted as k, can be determined by conducting an experiment in which the force applied to the spring is varied and the corresponding displacement is measured. The spring constant can then be calculated by dividing the force by the displacement.
The units for the spring constant, k, vary depending on the units used for force and displacement. However, the most commonly used unit for the spring constant is N/m (newtons per meter).