The potential energy of the compressed spring is 10J. If the coefficient of stiffness of a given spring
| September 28, 2021 | education
The potential energy of the compressed spring is 10J. If the coefficient of stiffness of a given spring is 250N / m, then how many centimeters has the spring been compressed?
Initial data: Ep (potential energy of a compressed spring) = 10 J; k (coefficient of stiffness of a given spring) = 250 N / m.
The value of the deformation of this spring can be expressed from the potential energy formula: En = k * ∆l ^ 2/2, whence ∆l ^ 2 = 2Ep / k and ∆l = √ (2Ep / k).
Let’s perform the calculation: ∆l = √ (2Ep / k) = √ (2 * 10/250) = √0.08 = 0.283 m = 28.3 cm.
Answer: The spring was compressed by 28.3 cm.
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