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How Energy Works in Open and Closed Systems with Springs

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Tori Wright

11/13/2023

AP Physics 1

Unit 4: Work+Energy

How Energy Works in Open and Closed Systems with Springs

A comprehensive guide to trabajo y energía en sistemas abiertos y cerrados, focusing on work, energy transfer, and spring motion principles.

• Work and energy transfer fundamentals explain the relationship between force application and resulting motion
Conservación de energía cinética y potencial en muelles demonstrates how energy transforms between kinetic and potential forms
• Spring systems illustrate transferencia de energía y movimiento con leyes de Hooke, showing periodic motion patterns
• Energy conservation principles govern both open and closed systems, with distinct characteristics for each case
• Mathematical relationships between work, force, and displacement provide quantitative analysis tools

...

11/13/2023

66

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AP Physics 1

66

Nov 13, 2023

1 page

How Energy Works in Open and Closed Systems with Springs

T

Tori Wright

@oriright_glagajxgncr

A comprehensive guide to trabajo y energía en sistemas abiertos y cerrados, focusing on work, energy transfer, and spring motion principles.

• Work and energy transfer fundamentals explain the relationship between force application and resulting motion
Conservación de... Show more

-Wark + Energy:
transfer to an object
or Amur ² mv. 2
: amount of
F
W = F·d
or
= 0 = 0° → + work = = 180° → -
energy
AKE
+ work =
speed up K

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Work and Energy Systems

This comprehensive page explores the fundamental concepts of work, energy, and their applications in both open and closed systems, with special emphasis on spring mechanics and energy conservation.

Definition: Work is defined as the product of force and displacement (W = F·d), where the angle between force and displacement determines if work is positive, negative, or zero.

Vocabulary: Kinetic Energy (KE) represents motion energy (½mv²), while Potential Energy (PE) represents stored energy (mgh for gravitational PE).

Example: In spring systems, maximum potential energy occurs at maximum compression or extension, while maximum kinetic energy occurs at the equilibrium position.

Highlight: In closed systems, energy is conserved with PE and KE transforming between each other (ΔPE = -ΔKE), while open systems involve external forces affecting total energy.

Quote: "At equilibrium, acceleration is zero and velocity is maximum; far from equilibrium, acceleration is maximum and velocity is zero."

The page includes detailed graphs showing the relationships between position, velocity, and energy in various scenarios, particularly emphasizing spring motion and free fall situations. The mathematical treatment includes Hooke's law (F=-kx) for spring forces and the conservation of mechanical energy (ME=KE+PE) in closed systems.

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