Quick question to wat this equation is?

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The equation U=1/2*k*x^2 represents the elastic potential energy stored in a spring, where U denotes potential energy, k is the spring constant, and x is the displacement from the spring's equilibrium position. This formula is directly related to Hooke's Law, which describes the linear relationship between the force exerted by a spring and its displacement. The discussion clarifies that U specifically refers to potential energy rather than kinetic energy. Understanding this equation is essential for analyzing spring mechanics in physics. The relationship between potential energy and spring behavior is a fundamental concept in mechanics.
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I don't understand what U is?
Is It to do with hookes law?
Is it to do with kinetic energy?


U=1/2*k*x^2
 
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It is energy stored in a spring, with spring constant "k", compressed or extended by an amount "x" from it's equilibrium length.
 
U usually refers to potential energy (or some particular form of it).
Indeed, this equation is somewhat linked to Hooke's Law; it gives the elastic potential energy stored in a spring when the spring has been compressed or extended by a distance x. k, in this case, is the spring constant of the spring.
 
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