Understanding Work Done When Stretching a Spring: Key Concepts Explained

Learn how to calculate the work done on a spring when it is stretched using the W = 1/2 k x^2 formula.

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Work done on a spring when it is stretched is given by the formula W = 1/2 k x^2, where k is the spring constant and x is the displacement from its equilibrium position. This equation shows the potential energy stored in the spring due to deformation. Essentially, the work done is the energy required to stretch the spring to a certain length.

FAQs & Answers

  1. What is the formula for work done on a spring? The formula for work done on a spring when it is stretched is W = 1/2 k x^2, where k is the spring constant and x is the displacement from its equilibrium position.
  2. What does the spring constant (k) indicate? The spring constant (k) indicates the stiffness of the spring; a higher constant means a stiffer spring that requires more force to stretch or compress.
  3. How is potential energy related to a stretched spring? The potential energy stored in a stretched spring is equal to the work done to stretch it, described by the same formula W = 1/2 k x^2.
  4. What factors affect the work done on a spring? The work done on a spring depends on the spring constant (k) and the amount of stretch or compression (x) from its equilibrium position.

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