Calculating the Work Done to Stretch a Spring by 15 cm: A Step-by-Step Guide
Learn how to calculate the work done on a spring using Hooke's Law in this concise tutorial.
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To calculate the work done to stretch a spring by 15 cm, you need to use Hooke's Law: Work = 0.5 k x^2. Here, ‘k’ is the spring constant, and ‘x’ is the displacement. Without the spring constant ‘k’, we cannot provide a specific answer. Determine the spring constant, then plug the values into the formula to get the work done.
FAQs & Answers
- What is Hooke's Law? Hooke's Law states that the force needed to extend or compress a spring by some distance is proportional to that distance. It can be expressed as F = kx, where 'F' is the force applied, 'k' is the spring constant, and 'x' is the displacement from the equilibrium position.
- How is the spring constant ‘k’ determined? The spring constant 'k' can be determined by measuring how much force is needed to stretch or compress a spring by a known distance. This can be calculated using Hooke’s Law: k = F/x, where 'F' is the force applied and 'x' is the displacement.
- What is work done in stretching a spring? The work done in stretching a spring is the energy required to stretch or compress it from its natural length. It can be calculated using the formula: Work = 0.5 * k * x^2, where 'k' is the spring constant and 'x' is the displacement.
- What units are used for measuring work, spring constant, and displacement? Work is typically measured in joules (J), the spring constant 'k' in newtons per meter (N/m), and displacement 'x' in meters (m).