How to Calculate Work Done in Hooke's Law: A Step-by-Step Guide
Learn how to calculate work done in Hooke's Law with our easy-to-follow guide and formula.
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To calculate work done in Hooke's Law, use the formula: Work Done (W) = 0.5 k x^2. Here, 'k' is the spring constant and 'x' is the displacement of the spring from its equilibrium position. This calculation helps determine the energy stored or released in elastic materials.
FAQs & Answers
- What is Hooke's Law? Hooke's Law states that the force exerted by a spring is directly proportional to the distance it is stretched or compressed from its equilibrium position, typically expressed as F = kx, where 'F' is the force, 'k' is the spring constant, and 'x' is the displacement.
- How do you find the spring constant (k)? The spring constant (k) can be determined by measuring the force applied to the spring and the distance the spring is compressed or stretched, using the formula k = F/x.
- What units are used for work done in Hooke's Law? Work done in Hooke's Law is measured in joules (J), which is the standard unit of energy in the International System of Units (SI).
- How is work done related to energy stored in springs? The work done on a spring is equivalent to the elastic potential energy stored in the spring, which can be calculated using the formula W = 0.5 k x^2.