Potential Energy of a Multiparticle System - Revision history

DaGreeny at 19:52, 2 December 2025

2025-12-02T19:52:58Z

← Older revision		Revision as of 15:52, 2 December 2025
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	~~Claimed to edit by Adam Green, Fall 2025~~

	==The Main Idea==		==The Main Idea==

DaGreeny at 18:50, 2 December 2025

2025-12-02T18:50:09Z

← Older revision		Revision as of 14:50, 2 December 2025
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			Claimed to edit by Adam Green, Fall 2025

	==The Main Idea==		==The Main Idea==

Athenawu66 at 01:39, 23 April 2023

2023-04-23T01:39:29Z

← Older revision		Revision as of 21:39, 22 April 2023
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	~~ATHENA WU~~

	==The Main Idea==		==The Main Idea==

Athenawu66 at 23:41, 22 April 2023

2023-04-22T23:41:16Z

← Older revision		Revision as of 19:41, 22 April 2023
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			ATHENA WU

	==The Main Idea==		==The Main Idea==

Parkercoye: /* A Mathematical Model */

2019-07-29T15:20:53Z

A Mathematical Model

← Older revision		Revision as of 11:20, 29 July 2019
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	where <math>m</math> and <math>M</math> are the masses of the two particles, respectively, and <math>G</math> is the gravitational constant, <math>6.7 × 10^{−11} N · m^2/kg^2</math>. In the ball-Earth system, where the ball with a mass of <math>m</math> is falling near the surface of the Earth of the height of <math>h</math>, the gravitational potential energy can be simplified as <math>mgh</math>.		where <math>m</math> and <math>M</math> are the masses of the two particles, respectively, and <math>G</math> is the gravitational constant, <math>6.7 × 10^{−11} N · m^2/kg^2</math>. In the ball-Earth system, where the ball with a mass of <math>m</math> is falling near the surface of the Earth of the height of <math>h</math>, the gravitational potential energy can be simplified as <math>mgh</math>.
	<div style="text-align: center;">		<div style="text-align: center;">
	[[File:solar_system_2.png\|400px]]		[[File:solar_system_2.png\|400px\|thumb\|center\|Figure 1 <br> Note: Figure created by author]]
	</div>		</div>

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	where <math>\frac{1}{4\pi\epsilon_0}</math> is the electric constant, <math>9 × 10^9 N · m^2/C^2</math>, and <math>q_1</math>, <math>q_2</math> represent the amount of charges on the two interacting particles (measured in <math>C</math>). Note that unlike the gravitational potential energy, the electric potential energy can have either negative or positive value. If the two charges have opposite signs, the potential energy between the two interactive charged particles is negative. Otherwise, the potential energy is positive.		where <math>\frac{1}{4\pi\epsilon_0}</math> is the electric constant, <math>9 × 10^9 N · m^2/C^2</math>, and <math>q_1</math>, <math>q_2</math> represent the amount of charges on the two interacting particles (measured in <math>C</math>). Note that unlike the gravitational potential energy, the electric potential energy can have either negative or positive value. If the two charges have opposite signs, the potential energy between the two interactive charged particles is negative. Otherwise, the potential energy is positive.
	<div style="text-align: center;">		<div style="text-align: center;">
	[[File:electron_orbit_2.png\|400px]]		[[File:electron_orbit_2.png\|400px\|thumb\|Figure 2 <br> Note: Figure created by author\|center]]
	</div>		</div>

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	where <math>k_s</math> represents the spring constant and <math>h</math> is the stretch of the spring.		where <math>k_s</math> represents the spring constant and <math>h</math> is the stretch of the spring.
	<div style="text-align: center;">		<div style="text-align: center;">
	[[File:block_fall.png\|400px]]		[[File:block_fall.png\|400px\|thumb\|Figure 3 <br> Note: Figure created by author\|center]]
	</div>		</div>

Parkercoye: /* A Mathematical Model */

2019-07-27T21:16:57Z

A Mathematical Model

← Older revision		Revision as of 17:16, 27 July 2019
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	where <math>k_s</math> represents the spring constant and <math>h</math> is the stretch of the spring.		where <math>k_s</math> represents the spring constant and <math>h</math> is the stretch of the spring.
	<div style="text-align: center;">		<div style="text-align: center;">
	[[File:block_fall.png]]		[[File:block_fall.png\|400px]]
	</div>		</div>

Parkercoye: /* A Mathematical Model */

2019-07-27T21:16:30Z

A Mathematical Model

← Older revision		Revision as of 17:16, 27 July 2019
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	where <math>m</math> and <math>M</math> are the masses of the two particles, respectively, and <math>G</math> is the gravitational constant, <math>6.7 × 10^{−11} N · m^2/kg^2</math>. In the ball-Earth system, where the ball with a mass of <math>m</math> is falling near the surface of the Earth of the height of <math>h</math>, the gravitational potential energy can be simplified as <math>mgh</math>.		where <math>m</math> and <math>M</math> are the masses of the two particles, respectively, and <math>G</math> is the gravitational constant, <math>6.7 × 10^{−11} N · m^2/kg^2</math>. In the ball-Earth system, where the ball with a mass of <math>m</math> is falling near the surface of the Earth of the height of <math>h</math>, the gravitational potential energy can be simplified as <math>mgh</math>.
	<div style="text-align: center;">		<div style="text-align: center;">
	[[File:~~Sun_earth_orbit~~.png]]		[[File:solar_system_2.png\|400px]]
	</div>		</div>

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	where <math>\frac{1}{4\pi\epsilon_0}</math> is the electric constant, <math>9 × 10^9 N · m^2/C^2</math>, and <math>q_1</math>, <math>q_2</math> represent the amount of charges on the two interacting particles (measured in <math>C</math>). Note that unlike the gravitational potential energy, the electric potential energy can have either negative or positive value. If the two charges have opposite signs, the potential energy between the two interactive charged particles is negative. Otherwise, the potential energy is positive.		where <math>\frac{1}{4\pi\epsilon_0}</math> is the electric constant, <math>9 × 10^9 N · m^2/C^2</math>, and <math>q_1</math>, <math>q_2</math> represent the amount of charges on the two interacting particles (measured in <math>C</math>). Note that unlike the gravitational potential energy, the electric potential energy can have either negative or positive value. If the two charges have opposite signs, the potential energy between the two interactive charged particles is negative. Otherwise, the potential energy is positive.
	<div style="text-align: center;">		<div style="text-align: center;">
	[[File:~~Electricz~~.~~jpg~~]]		[[File:electron_orbit_2.png\|400px]]
	</div>		</div>

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	where <math>k_s</math> represents the spring constant and <math>h</math> is the stretch of the spring.		where <math>k_s</math> represents the spring constant and <math>h</math> is the stretch of the spring.
	<div style="text-align: center;">		<div style="text-align: center;">
	[[File:~~Spring~~.~~jpg~~]]		[[File:block_fall.png]]
	</div>		</div>

Parkercoye: /* The Main Idea */

2019-06-28T21:15:51Z

The Main Idea

← Older revision		Revision as of 17:15, 28 June 2019
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	Imagine you drop a ball with a mass of <math>m</math> near the surface of the earth at the height of <math>h</math>. If the ball alone is considered to be the system, i.e., the Earth is the surrounding, it is straightforward to find that the kinetic energy of the system (ball) increases, due to the positive work done on the ball by the Earth. In other words, as the gravitational force acts in the same direction as the displacement of the ball, the work done by the surroundings (the Earth) is equal to <math>mgh</math>.		Imagine you drop a ball with a mass of <math>m</math> near the surface of the earth at the height of <math>h</math>. If the ball alone is considered to be the system, i.e., the Earth is the surrounding, it is straightforward to find that the kinetic energy of the system (ball) increases, due to the positive work done on the ball by the Earth. In other words, as the gravitational force acts in the same direction as the displacement of the ball, the work done by the surroundings (the Earth) is equal to <math>mgh</math>.
	<div style="text-align: center;">		<div style="text-align: center;">
	~~[[File:Balldropping.gif]]~~
	</div>		</div>

Parkercoye at 21:15, 28 June 2019

2019-06-28T21:15:41Z

← Older revision		Revision as of 17:15, 28 June 2019
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	~~This wikipage discusses the definition and significance of the potential energy in a multiparticle system, and exemplifies it in different contexts.~~

	==The Main Idea==		==The Main Idea==

Parkercoye at 21:15, 28 June 2019

2019-06-28T21:15:31Z

← Older revision		Revision as of 17:15, 28 June 2019
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	~~Claimed By yzhang637 - 2016 Fall~~

	This wikipage discusses the definition and significance of the potential energy in a multiparticle system, and exemplifies it in different contexts.		This wikipage discusses the definition and significance of the potential energy in a multiparticle system, and exemplifies it in different contexts.