10 Questions
What is the formula for the elastic potential energy of a spring?
$\frac{1}{2}kx^2$
What does the spring constant indicate?
Stiffness of the spring
What are the units of the spring constant?
N/m
When work is done to stretch or compress the spring, where is this work stored?
As elastic potential energy in the spring
What is the deformation 'x' in the context of a spring?
Change in the length of the spring
Which of the following correctly defines the elastic potential energy of a spring?
The elastic potential energy is directly proportional to the product of the spring constant and the deformation.
What effect does a weak spring have on its spring constant?
The spring constant remains unchanged regardless of the strength of the spring.
What are the units of the deformation 'x' in the context of a spring?
Meters
How does a stiff spring store potential energy compared to a weak spring?
A stiff spring stores more potential energy per meter of stretch compared to a weak spring.
Which term describes the property that tells you the stiffness of a spring?
Spring constant
Study Notes
Elastic Potential Energy of a Spring
- The formula for the elastic potential energy of a spring is 1/2kx^2, where k is the spring constant and x is the deformation.
Spring Constant
- The spring constant (k) indicates the stiffness of a spring.
- The units of the spring constant are N/m (newtons per meter).
Work and Energy Storage
- When work is done to stretch or compress the spring, the work is stored as elastic potential energy.
Deformation 'x'
- In the context of a spring, the deformation 'x' refers to the distance from the spring's equilibrium position.
Elastic Potential Energy Definition
- Elastic potential energy of a spring is correctly defined as the energy stored in a spring when it is compressed or stretched.
Spring Stiffness and Spring Constant
- A weak spring has a small spring constant, indicating less stiffness.
- A stiff spring has a large spring constant, indicating more stiffness.
Units of Deformation 'x'
- The units of the deformation 'x' are meters (m).
Stiffness and Potential Energy
- A stiff spring stores more potential energy compared to a weak spring for the same deformation.
Term for Stiffness Property
- The term that describes the property that tells you the stiffness of a spring is the spring constant (k).
Test your knowledge of elastic potential energy and springs with this quiz on the relationship between spring constant, deformation, work, and the stored energy. Explore the equations and concepts related to the behavior of springs under force.
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