# Hooke's Formula spring length

• cman
In summary, the conversation discusses determining the length of a spring needed for a specific weight to drop a known distance without hitting the ground. The concept of conservation of energy is mentioned and can be used to calculate the potential energy of the spring.

#### cman

I'm trying to figure out how to determine how long a spring should be to drop a known weight a known length? For example...10 foot drop, 1 lb weight, and I pick up a flexible spring from the hardware store (spring constant to be determined by Hooke's law experimentation), should I not be able to determine how long a spring to cut to just make the 1 lb weight drop to but not hit the floor?...much like a bungee question.

Welcome to Physics Forums.

Have you learned about conservation of energy in a physics class? You can equate the gravitational potential energy mgh with the potential energy of a stretched spring.

## What is Hooke's Formula for spring length?

Hooke's Formula is a mathematical equation that describes the relationship between the force exerted on a spring and its resulting length. It states that the force applied to a spring is directly proportional to the change in length of the spring, assuming the material of the spring is linearly elastic.

## What is the equation for Hooke's Formula?

The equation for Hooke's Formula is F = -kx, where F is the force applied to the spring, k is the spring constant, and x is the change in length of the spring.

## How is Hooke's Formula used in real-world applications?

Hooke's Formula is used in many real-world applications such as in springs for cars, mattresses, and trampolines. It is also used in the design of shock absorbers, pogo sticks, and other devices that rely on the elasticity of a spring to function.

## What are the limitations of Hooke's Formula?

Hooke's Formula is only valid for linearly elastic materials, meaning that the force and displacement must be within the elastic limit of the material. It also assumes that the spring is massless and that there is no friction or air resistance acting on the spring.

## How does temperature affect Hooke's Formula?

Temperature can affect Hooke's Formula as it can change the elasticity of the material. As temperature increases, the material may become less stiff and therefore the spring constant may change, altering the relationship between force and length according to Hooke's Formula.