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

GoDistance between Surfaces given Van Der Waals Force between Two Spheres Formula

GoDistance between Surfaces given Center-to-Center Distance Formula

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

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

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

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

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Here is how the Distance between Surfaces given Potential Energy in Limit of Close-Approach equation looks like with Values.

Here is how the Distance between Surfaces given Potential Energy in Limit of Close-Approach equation looks like with Units.

Here is how the Distance between Surfaces given Potential Energy in Limit of Close-Approach equation looks like.

-27.7778 = \frac{- 100 \cdot 12 \cdot 15}{(12 + 15) \cdot 6 \cdot 4}

-27.7778A = \frac{- 100J \cdot 12A \cdot 15A}{(12A + 15A) \cdot 6 \cdot 4J}

-27.7778 = \frac{- 100 \cdot 12 \cdot 15}{(12 + 15) \cdot 6 \cdot 4}

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

Follow our step by step solution on how to calculate Distance between Surfaces given Potential Energy in Limit of Close-Approach?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \frac{- 100J \cdot 12A \cdot 15A}{(12A + 15A) \cdot 6 \cdot 4J}

Next Step Convert Units

∴

r = \frac{- 100J \cdot 1.2E-9m \cdot 1.5E-9m}{(1.2E-9m + 1.5E-9m) \cdot 6 \cdot 4J}

Next Step Prepare to Evaluate

∴

r = \frac{- 100 \cdot 1.2E-9 \cdot 1.5E-9}{(1.2E-9 + 1.5E-9) \cdot 6 \cdot 4}

Next Step Evaluate

∴

r = -2.77777777777778E-09m

Next Step Convert to Output's Unit

∴

r = -27.7777777777778A

LAST Step Rounding Answer

∴

r = -27.7778A

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

Variables

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

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

Potential Energy

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

Symbol: PE

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Potential Energy

Credits

Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Formula and 800+ more formulas!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has verified this Formula and 500+ more formulas!

Other Formulas to find Distance Between Surfaces

Go Distance between Surfaces given Van Der Waals Force between Two Spheres

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

Go Distance between Surfaces given Center-to-Center Distance

r = z - R 1 - R 2

Go Distance between Surfaces given Van Der Waals Pair Potential

r = {(\frac{0 - C}{ω r})}^{\frac{1}{6}}

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 Potential Energy in Limit of Closest-Approach

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

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

Distance between Surfaces given Potential Energy in Limit of Close-Approach evaluator uses Distance Between Surfaces = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy) to evaluate the Distance Between Surfaces, The distance between surfaces given Potential Energy in limit of close-approach is the length of the line segment between the 2 surfaces. Distance Between Surfaces is denoted by r symbol.

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

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

What is the formula to find Distance between Surfaces given Potential Energy in Limit of Close-Approach?

The formula of Distance between Surfaces given Potential Energy in Limit of Close-Approach is expressed as Distance Between Surfaces = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy). Here is an example- -277777777777.778 = (-100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*4).

How to calculate Distance between Surfaces given Potential Energy in Limit of Close-Approach?

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

What are the other ways to Calculate Distance Between Surfaces?

Here are the different ways to Calculate Distance Between Surfaces-

Distance Between Surfaces=sqrt((Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy))
Distance Between Surfaces=Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Distance Between Surfaces=((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)

Can the Distance between Surfaces given Potential Energy in Limit of Close-Approach be negative?

Yes, the Distance between Surfaces given Potential Energy in Limit of Close-Approach, measured in Length can be negative.

Which unit is used to measure Distance between Surfaces given Potential Energy in Limit of Close-Approach?

Distance between Surfaces given Potential Energy in Limit of Close-Approach is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Distance between Surfaces given Potential Energy in Limit of Close-Approach can be measured.

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

​GoDistance between Surfaces given Van Der Waals Force between Two Spheres Formula

​GoDistance between Surfaces given Center-to-Center Distance Formula

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

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

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

Credits

Other Formulas to find Distance Between Surfaces

Other formulas in Van der Waals Force category

How to Evaluate Distance between Surfaces given Potential Energy in Limit of Close-Approach?

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

Variable Name

GoDistance between Surfaces given Van Der Waals Force between Two Spheres Formula

GoDistance between Surfaces given Center-to-Center Distance Formula