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Elastic Potential Energy: Learning Goals
The student will describe the elastic potential energy of a spring or similar object in qualitative and quantitative terms and will investigate the transformation of gravitational potential to elastic potential.
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Elastic Potential Energy
4C Physics
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Hooke’s Law The stretch or compression of an elastic device (e.g. a spring) is directly proportional to the applied force:
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Hooke’s Law The stretch or compression of an elastic device (e.g. a spring) is directly proportional to the applied force:
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The spring constant The constant k is called the spring constant or force constant. It has units of N/m and is the slope of the line in a force-extension graph.
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Example 1 A student stretches a spring 1.5 cm horizontally by applying a force of magnitude 0.18 N. Determine the force constant of the spring.
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Example 1 A student stretches a spring 1.5 cm horizontally by applying a force of magnitude 0.18 N. Determine the force constant of the spring.
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Example 1 A student stretches a spring 1.5 cm horizontally by applying a force of magnitude 0.18 N. Determine the force constant of the spring.
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Example 1 A student stretches a spring 1.5 cm horizontally by applying a force of magnitude 0.18 N. Determine the force constant of the spring.
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Example 1 A student stretches a spring 1.5 cm horizontally by applying a force of magnitude 0.18 N. Determine the force constant of the spring.
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Elastic Potential Energy
The force stretching or compressing a spring is doing work on a spring, increasing its elastic potential energy. Note that this force is not constant but increases linearly from 0 to kx. The average force on the spring is ½kx.
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Elastic Potential Energy
The force stretching or compressing a spring is doing work on a spring, increasing its elastic potential energy. Note that this force is not constant but increases linearly from 0 to kx. The average force on the spring is ½kx.
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Example 2 An apple of mass 0.10 kg is suspended from a vertical spring with spring constant 9.6 N/m. How much elastic potential energy is stored in the spring if the apple stretches the spring 20.4 cm?
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Example 2 An apple of mass 0.10 kg is suspended from a vertical spring with spring constant 9.6 N/m. How much elastic potential energy is stored in the spring if the apple stretches the spring 20.4 cm?
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Example 2 An apple of mass 0.10 kg is suspended from a vertical spring with spring constant 9.6 N/m. How much elastic potential energy is stored in the spring if the apple stretches the spring 20.4 cm?
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Example 2 Follow-Up How much gravitational potential energy did the apple lose?
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Example 2 Follow-Up How much gravitational potential energy did the apple lose?
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Example 2 Follow-Up How much gravitational potential energy did the apple lose?
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Example 2 Follow-Up How much gravitational potential energy did the apple lose?
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The ideal spring An ideal spring is one that obeys Hooke’s Law – within compression/stretching limits. Beyond those limits the spring may deform.
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The ideal spring An ideal spring is one that obeys Hooke’s Law – within compression/stretching limits. Beyond those limits the spring may deform. Be gentle with my springs!
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Kinetic Energy: More Practice
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Kinetic Energy: More Practice
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Kinetic Energy: More Practice
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Kinetic Energy: More Practice
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Kinetic Energy: More Practice
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Kinetic Energy: More Practice
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