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Ch 15: Oscillations
Knight Calc - Physics for Scientists and Engineers 5th Edition
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Non è quello che usi tu?Cambia libro di testo
Capitolo 15, Problema 41a

When the displacement of a mass on a spring is (½)A, what fraction of the energy is kinetic energy and what fraction is potential energy?

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Start by recalling the total mechanical energy of a mass-spring system, which is the sum of kinetic energy (KE) and potential energy (PE). The total energy is given by: E = U2 + K2, where U is potential energy and K kinetic energy
Recall the potential energy in a spring is given by: U = 1/2 k2

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Concetti chiave

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Hooke's Law

Hooke's Law states that the force exerted by a spring is directly proportional to its displacement from the equilibrium position, expressed as F = -kx, where k is the spring constant. This principle is fundamental in understanding how springs store potential energy when displaced.
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05:27
Spring Force (Hooke's Law)

Potential Energy in Springs

The potential energy (PE) stored in a spring is given by the formula PE = 1/2 kx², where x is the displacement from the equilibrium position. This energy is maximum when the spring is fully compressed or stretched and decreases as the spring returns to its equilibrium position.
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06:18
Energy in Horizontal Springs

Kinetic Energy

Kinetic energy (KE) is the energy of an object due to its motion, calculated using the formula KE = 1/2 mv², where m is mass and v is velocity. In the context of a mass on a spring, kinetic energy is highest when the mass passes through the equilibrium position, where potential energy is zero.
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06:07
Intro to Rotational Kinetic Energy
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