Vertical Spring Potential Energy?

In summary, when analyzing a vertical spring with a mass attached to it, you do not need to consider the gravitational potential energy (mgh) when using the energy principle. Only the change in potential energy of the spring (Usf = Usi) needs to be taken into account.
  • #1
Loppyfoot
194
0

Homework Statement


Say I have a vertical spring, with a mass attached to the bottom of the spring, and the spring is attached to the ceiling. Say I push up on the mass compressing the spring, and then I release the spring from rest.

Do I need to take into account the gravitational potential energy of the spring (mgh) when I apply the energy principle?

So would this be correct, or do I not need the Ug?
Ef = Ei + W
Kf + Ugf + Usf = Ki + Ugi + Usi + W(non-conservative)
 
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  • #2
Homework Equations Ef = Ei + WKf + Ugf + Usf = Ki + Ugi + Usi + W(non-conservative)The Attempt at a Solution No, you do not need to take into account the gravitational potential energy of the spring (mgh). You only need to use the energy principle when considering the kinetic energy and potential energy associated with the spring, which is just Usf = Usi.
 

1. What is vertical spring potential energy?

Vertical spring potential energy is a form of potential energy that is stored in a spring when it is compressed or stretched vertically.

2. How is vertical spring potential energy calculated?

The formula for calculating vertical spring potential energy is:
PE = 1/2 * k * x^2
Where PE is the potential energy, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

3. What factors affect the amount of vertical spring potential energy?

The amount of vertical spring potential energy is affected by the spring constant (k) and the displacement (x) of the spring. A higher spring constant or greater displacement will result in a higher potential energy.

4. Can vertical spring potential energy be converted into other forms of energy?

Yes, vertical spring potential energy can be converted into other forms of energy, such as kinetic energy, when the spring is released and returns to its equilibrium position.

5. What are some real-life applications of vertical spring potential energy?

Vertical spring potential energy is used in various devices, such as shock absorbers in cars, pogo sticks, and trampolines. It is also used in scientific experiments to study the behavior of springs and potential energy.

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