Elastic Potential Energy: Theory and Practice

📚 Topic Summary

Elastic potential energy is the energy stored in an object when it is deformed, like stretching a rubber band or compressing a spring. This energy is potential because it has the potential to do work when the object returns to its original shape. The amount of elastic potential energy depends on the stiffness of the object and the amount of deformation. Think of it as energy waiting to be released! 💥

The formula for elastic potential energy ($U$) in a spring is given by: $U = \frac{1}{2}kx^2$, where $k$ is the spring constant (a measure of stiffness) and $x$ is the displacement from the spring's equilibrium position. A higher spring constant means the spring is stiffer and requires more force to stretch or compress. The greater the displacement, the more energy is stored. Simple, right?

🧮 Part A: Vocabulary

Match each term with its correct definition:

1. Spring Constant
2. Displacement
3. Elastic Potential Energy
4. Deformation
5. Equilibrium

Definitions:

1. The energy stored in a deformable object.
2. The change in shape or size of an object.
3. The resting or neutral position.
4. The distance an object is moved from its original position.
5. A measure of a spring's stiffness.

✍️ Part B: Fill in the Blanks

Elastic potential energy is stored in a(n) __________ object when it is __________. The amount of energy depends on the __________ constant and the __________ from the equilibrium position. The formula to calculate this energy is $U = \frac{1}{2}kx^2$, where $k$ represents the __________ constant and $x$ represents the __________.

🤔 Part C: Critical Thinking

Imagine you have two springs, one with a high spring constant and one with a low spring constant. If you stretch both springs the same distance, which spring will store more elastic potential energy and why?