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and potential energy which depends on the location of the object,
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and it varies from problem to problem,
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depending on whether they're connected to a spring
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or gravity and so on.
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In one dimension,
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we could always get to the potential energy
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for any force that depended only on location.
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The trick was to go back to the Work Energy Theorem,
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which just applies Newton's Laws and says
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the change in kinetic energy of the body is the work done by the body,
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and that work we defined to be this;
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then, the sum of all this,