Physics · Error Analysis

A student measures the displacement x from the equilibrium of a stretched spring and reports it to be 100 µm with a 1% error. The spring constant k is known to be 10 N/m with a 0.5% error. The percentage error in the estimate of the potential energy V = 1 2 kx 2 is:

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2.5%

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A student measures the displacement x from the equilibrium of a stretched spring and reports it to be 100 &micro;m with a 1% error. The spring constant k is known to be 10 N/m with a 0.5% error. The percentage error in the estimate of the potential energy V = 1 2 kx 2 is: