How much energy is in the elastic potential energy store of a spring with a spring constant of 4 N/m if it is stretched from 1 m to 1.1 m in length?
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Explanation:
Spring force constant (k)
N/m
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Spring stretch length (Δx)
m
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Spring potential energy (U)
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Answer: 0.02 J
Explanation:
elastic potential energy = 1/2 × spring constant × (extension) squared
First calculate the extension of the spring:
extension = final length – length at rest = 1.1 m – 1 m = 0.1m
Substitute values into the equation:
elastic potential energy = 1/2 × 4 N/m × (0.1 m) squared
elastic potential energy = 0.02 J
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