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Van der Waals Force between Two Spheres Formula

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Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules. Check FAQs

F VWaals = \frac{A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot (r^{2})}

F_VWaals - Van der Waals force?A - Hamaker Coefficient?R₁ - Radius of Spherical Body 1?R₂ - Radius of Spherical Body 2?r - Distance Between Surfaces?

Van der Waals Force between Two Spheres Example

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Here is how the Van der Waals Force between Two Spheres equation looks like with Values.

Here is how the Van der Waals Force between Two Spheres equation looks like with Units.

Here is how the Van der Waals Force between Two Spheres equation looks like.

1.1E+10 = \frac{100 \cdot 12 \cdot 15}{(12 + 15) \cdot 6 \cdot (10^{2})}

1.1E+10N = \frac{100J \cdot 12A \cdot 15A}{(12A + 15A) \cdot 6 \cdot ({10A}^{2})}

1.1E+10 = \frac{100 \cdot 12 \cdot 15}{(12 + 15) \cdot 6 \cdot (10^{2})}

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Van der Waals Force between Two Spheres Solution

Follow our step by step solution on how to calculate Van der Waals Force between Two Spheres?

FIRST Step Consider the formula

F VWaals = \frac{A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot (r^{2})}

Next Step Substitute values of Variables

∴

F VWaals = \frac{100J \cdot 12A \cdot 15A}{(12A + 15A) \cdot 6 \cdot ({10A}^{2})}

Next Step Convert Units

∴

F VWaals = \frac{100J \cdot 1.2E-9m \cdot 1.5E-9m}{(1.2E-9m + 1.5E-9m) \cdot 6 \cdot ({1E-9m}^{2})}

Next Step Prepare to Evaluate

∴

F VWaals = \frac{100 \cdot 1.2E-9 \cdot 1.5E-9}{(1.2E-9 + 1.5E-9) \cdot 6 \cdot ({1E-9}^{2})}

Next Step Evaluate

∴

F VWaals = 11111111111.1111N

LAST Step Rounding Answer

∴

F VWaals = 1.1E+10N

Van der Waals Force between Two Spheres Formula Elements

Variables

Van der Waals force

Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules.

Symbol: F_VWaals

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Van der Waals force

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 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 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})}

How to Evaluate Van der Waals Force between Two Spheres?

Van der Waals Force between Two Spheres evaluator uses Van der Waals force = (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^2)) to evaluate the Van der Waals force, The Van der Waals force between two spheres is a general term used to define the attraction of intermolecular forces between molecules. Van der Waals force is denoted by F_VWaals symbol.

How to evaluate Van der Waals Force between Two Spheres using this online evaluator? To use this online evaluator for Van der Waals Force between Two Spheres, 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 Van der Waals Force between Two Spheres

What is the formula to find Van der Waals Force between Two Spheres?

The formula of Van der Waals Force between Two Spheres is expressed as Van der Waals force = (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^2)). Here is an example- 1.1E+10 = (100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*(1E-09^2)).

How to calculate Van der Waals Force between Two Spheres?

With Hamaker Coefficient (A), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Distance Between Surfaces (r) we can find Van der Waals Force between Two Spheres using the formula - Van der Waals force = (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^2)).

Can the Van der Waals Force between Two Spheres be negative?

Yes, the Van der Waals Force between Two Spheres, measured in Force can be negative.

Which unit is used to measure Van der Waals Force between Two Spheres?

Van der Waals Force between Two Spheres is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Van der Waals Force between Two Spheres can be measured.

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Van der Waals Force between Two Spheres Formula

Van der Waals Force between Two Spheres Example

Van der Waals Force between Two Spheres Solution

Van der Waals Force between Two Spheres Formula Elements

Other formulas in Van der Waals Force category

How to Evaluate Van der Waals Force between Two Spheres?

FAQs on Van der Waals Force between Two Spheres

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