How is the potential energy stored in a stretched rubber band calculated?

The potential energy stored in a stretched rubber band is calculated using Hooke's Law.

Hooke's Law states that the force required to stretch or compress a spring is directly proportional to the extension or compression of the spring, as long as the elastic limit is not exceeded. This can be expressed mathematically as F = kx, where F is the force applied, x is the extension or compression of the spring, and k is the spring constant.

The potential energy stored in a stretched rubber band can be calculated using the formula U = 1/2 kx^2, where U is the potential energy stored, k is the spring constant of the rubber band, and x is the extension of the rubber band.

To measure the extension of the rubber band, a ruler or tape measure can be used. The spring constant of the rubber band can be determined by applying a known force and measuring the resulting extension, and then using Hooke's Law to calculate k.

It is important to note that the elastic limit of the rubber band should not be exceeded, as this can cause permanent deformation and affect the accuracy of the calculations.