FrozenWinters said:My current approach: look at the change in expansion relative to distance of the unexpanded spring. However, the differential equation I revive is unsolvable.
The formula for calculating the length of a spring at equilibrium is L = m * g / k, where L is the length of the spring, m is the mass attached to the spring, g is the gravitational constant, and k is the spring constant.
The spring constant can be determined by dividing the force applied to the spring by the displacement of the spring. This can be done by using Hooke's Law, which states that the force applied to a spring is directly proportional to the displacement of the spring.
Yes, the length of a spring at equilibrium can be changed by altering the mass attached to the spring or adjusting the spring constant. When these factors are changed, the spring will stretch or compress to reach a new equilibrium length.
Gravity affects the length of a spring at equilibrium by pulling down on the mass attached to the spring. This causes the spring to stretch or compress until the force of gravity is balanced by the spring force, resulting in a stable equilibrium length.
Yes, the length of a spring at equilibrium can be used to determine the weight of an object by rearranging the formula L = m * g / k to solve for the mass of the object. Once the mass is known, the weight can be calculated using the formula weight = mass * gravitational constant.