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Questions and Answers
What is the formula for the elastic potential energy of a spring?
What is the formula for the elastic potential energy of a spring?
- $\frac{1}{2}kx^2$ (correct)
- $kx$
- $2kx$
- $\frac{1}{2}k^2x$
What does the spring constant, k, indicate?
What does the spring constant, k, indicate?
- Length of the spring
- Potential energy of the spring
- Deformation of the spring
- Stiffness of the spring (correct)
What are the units of the spring constant?
What are the units of the spring constant?
- N/m (correct)
- $\frac{1}{m}$
- $\frac{1}{N}$
- N
What is the change in length of the spring known as?
What is the change in length of the spring known as?
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What does the deformation, x, represent in the context of a spring?
What does the deformation, x, represent in the context of a spring?
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Study Notes
Elastic Potential Energy of a Spring
- The formula for the elastic potential energy of a spring is: U = (1/2)kx²
- This formula represents the energy stored in a spring due to its deformation.
Spring Constant
- The spring constant, k, indicates the measure of a spring's stiffness or how much it resists deformation.
- A higher value of k means a stiffer spring, while a lower value of k means a more flexible spring.
Units of Spring Constant
- The units of the spring constant, k, are Newtons per meter (N/m).
Change in Length of Spring
- The change in length of the spring is known as the deformation or displacement of the spring.
Deformation
- The deformation, x, represents the amount of compression or stretching of the spring from its equilibrium position.
- It is a measure of how much the spring is compressed or stretched from its original length.
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