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183_notes:grav_and_spring_pe [2014/10/14 13:20] – [Conservative Forces] caballero | 183_notes:grav_and_spring_pe [2015/10/06 11:10] – [Spring Potential Energy] caballero | ||
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[{{ 183_notes: | [{{ 183_notes: | ||
- | To determine the potential energy associated with a spring-mass system, consider the work done by a spring on an object (mass, $m$) attached to its end. The spring is stretched through a displacement ($\Delta \vec{s}$). The displacement and the gravitational | + | To determine the potential energy associated with a spring-mass system, consider the work done by a spring on an object (mass, $m$) attached to its end. The spring is stretched through a displacement ($\Delta \vec{s}$). The displacement and the spring |
To calculate the work that the spring does, consider the object as the system. Remember that the [[183_notes: | To calculate the work that the spring does, consider the object as the system. Remember that the [[183_notes: | ||
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$$W_{s} = -\dfrac{1}{2}k_s\left(s_f^2-s_i^2\right)$$ | $$W_{s} = -\dfrac{1}{2}k_s\left(s_f^2-s_i^2\right)$$ | ||
- | If you include the spring in your system, so that the system is now the spring and the object, then potential energy shared spring-object system is given by, | + | If you include the spring in your system, so that the system is now the spring and the object, then the potential energy shared |
- System: object+spring; | - System: object+spring; | ||
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==== Examples ==== | ==== Examples ==== | ||
- | {{183_notes: | + | * [[183_notes: |
- | {{183_notes: | + | * [[183_notes: |