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Potential Energy in Limit of Closest-Approach Formula

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Potential Energy In Limit is the energy that is stored in an object due to its position relative to some zero position. Check FAQs

PE Limit = \frac{- A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot r}

PE _Limit - Potential Energy In Limit?A - Hamaker Coefficient?R₁ - Radius of Spherical Body 1?R₂ - Radius of Spherical Body 2?r - Distance Between Surfaces?

Potential Energy in Limit of Closest-Approach Example

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Here is how the Potential Energy in Limit of Closest-Approach equation looks like with Values.

Here is how the Potential Energy in Limit of Closest-Approach equation looks like with Units.

Here is how the Potential Energy in Limit of Closest-Approach equation looks like.

-11.1111 = \frac{- 100 \cdot 12 \cdot 15}{(12 + 15) \cdot 6 \cdot 10}

-11.1111 = \frac{- 100J \cdot 12A \cdot 15A}{(12A + 15A) \cdot 6 \cdot 10A}

-11.1111 = \frac{- 100 \cdot 12 \cdot 15}{(12 + 15) \cdot 6 \cdot 10}

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Potential Energy in Limit of Closest-Approach Solution

Follow our step by step solution on how to calculate Potential Energy in Limit of Closest-Approach?

FIRST Step Consider the formula

PE Limit = \frac{- A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot r}

Next Step Substitute values of Variables

∴

PE Limit = \frac{- 100J \cdot 12A \cdot 15A}{(12A + 15A) \cdot 6 \cdot 10A}

Next Step Convert Units

∴

PE Limit = \frac{- 100J \cdot 1.2E-9m \cdot 1.5E-9m}{(1.2E-9m + 1.5E-9m) \cdot 6 \cdot 1E-9m}

Next Step Prepare to Evaluate

∴

PE Limit = \frac{- 100 \cdot 1.2E-9 \cdot 1.5E-9}{(1.2E-9 + 1.5E-9) \cdot 6 \cdot 1E-9}

Next Step Evaluate

∴

PE Limit = -11.1111111111111

LAST Step Rounding Answer

∴

PE Limit = -11.1111

Potential Energy in Limit of Closest-Approach Formula Elements

Variables

Potential Energy In Limit

Potential Energy In Limit is the energy that is stored in an object due to its position relative to some zero position.

Symbol: PE _Limit

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Potential Energy In Limit

Hamaker Coefficient

Hamaker coefficient A can be defined for a Van der Waals body–body interaction.

Symbol: A

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Hamaker Coefficient

Radius of Spherical Body 1

Radius of Spherical Body 1 represented as R1.

Symbol: R₁

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Spherical Body 1

Radius of Spherical Body 2

Radius of Spherical Body 2 represented as R1.

Symbol: R₂

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Spherical Body 2

Distance Between Surfaces

Distance between surfaces is the length of the line segment between the 2 surfaces.

Symbol: r

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Distance Between Surfaces

Other formulas in Van der Waals Force category

Go Van der Waals Interaction Energy between Two Spherical Bodies

U VWaals = (- (\frac{A}{6})) \cdot ((\frac{2 \cdot R 1 \cdot R 2}{(z^{2}) - ({(R 1 + R 2)}^{2})}) + (\frac{2 \cdot R 1 \cdot R 2}{(z^{2}) - ({(R 1 - R 2)}^{2})}) + \ln (\frac{(z^{2}) - ({(R 1 + R 2)}^{2})}{(z^{2}) - ({(R 1 - R 2)}^{2})}))

Go Distance between Surfaces given Potential Energy in Limit of Close-Approach

r = \frac{- A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot PE}

Go Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach

R 1 = \frac{1}{(- \frac{A}{PE \cdot 6 \cdot r}) - (\frac{1}{R 2})}

Go Radius of Spherical Body 2 given Potential Energy in Limit of Closest-Approach

R 2 = \frac{1}{(- \frac{A}{PE \cdot 6 \cdot r}) - (\frac{1}{R 1})}

How to Evaluate Potential Energy in Limit of Closest-Approach?

Potential Energy in Limit of Closest-Approach evaluator uses Potential Energy In Limit = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces) to evaluate the Potential Energy In Limit, The Potential Energy in limit of closest-approach formula is defined as is the energy that is stored in an object by virtue to its position. Potential Energy In Limit is denoted by PE _Limit symbol.

How to evaluate Potential Energy in Limit of Closest-Approach using this online evaluator? To use this online evaluator for Potential Energy in Limit of Closest-Approach, enter Hamaker Coefficient (A), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Distance Between Surfaces (r) and hit the calculate button.

FAQs on Potential Energy in Limit of Closest-Approach

What is the formula to find Potential Energy in Limit of Closest-Approach?

The formula of Potential Energy in Limit of Closest-Approach is expressed as Potential Energy In Limit = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces). Here is an example- -11.111111 = (-100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*1E-09).

How to calculate Potential Energy in Limit of Closest-Approach?

With Hamaker Coefficient (A), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Distance Between Surfaces (r) we can find Potential Energy in Limit of Closest-Approach using the formula - Potential Energy In Limit = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces).

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Potential Energy in Limit of Closest-Approach Formula

Potential Energy in Limit of Closest-Approach Example

Potential Energy in Limit of Closest-Approach Solution

Potential Energy in Limit of Closest-Approach Formula Elements

Other formulas in Van der Waals Force category

How to Evaluate Potential Energy in Limit of Closest-Approach?

FAQs on Potential Energy in Limit of Closest-Approach

Variable Name