A linear
spring has a potential energy of 7.3 J when it is stretched 0.29 m.
What is the constant for this spring?
spring potential energy: Us = 7.3 J
displacement: x = 0.29 m
Starting formula |
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Algebra: multiply each side by 2 |
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Algebra: 2's cancel on right |
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Algebra: divide each side by x^2 |
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Algebra: x^2's cancel on right |
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Algebra: switch left and right |
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Plug in numbers with units |
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Multiply: (2)(7.3)/0.29^2 = 173.602.... |
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Final result with significant figures and unit |