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

GoRadius of Spherical Body 1 given Van der Waals Force between Two Spheres Formula

GoRadius of Spherical Body 1 given Center-to-Center Distance Formula

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Radius of Spherical Body 1 represented as R1. Check FAQs

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

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

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

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Here is how the Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach equation looks like with Values.

Here is how the Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach equation looks like with Units.

Here is how the Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach equation looks like.

-2.069 = \frac{1}{(- \frac{100}{4 \cdot 6 \cdot 10}) - (\frac{1}{15})}

-2.069A = \frac{1}{(- \frac{100J}{4J \cdot 6 \cdot 10A}) - (\frac{1}{15A})}

-2.069 = \frac{1}{(- \frac{100}{4 \cdot 6 \cdot 10}) - (\frac{1}{15})}

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

Follow our step by step solution on how to calculate Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R 1 = \frac{1}{(- \frac{100J}{4J \cdot 6 \cdot 10A}) - (\frac{1}{15A})}

Next Step Convert Units

∴

R 1 = \frac{1}{(- \frac{100J}{4J \cdot 6 \cdot 1E-9m}) - (\frac{1}{1.5E-9m})}

Next Step Prepare to Evaluate

∴

R 1 = \frac{1}{(- \frac{100}{4 \cdot 6 \cdot 1E-9}) - (\frac{1}{1.5E-9})}

Next Step Evaluate

∴

R 1 = -2.06896551724138E-10m

Next Step Convert to Output's Unit

∴

R 1 = -2.06896551724138A

LAST Step Rounding Answer

∴

R 1 = -2.069A

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

Variables

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

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

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

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

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

Other Formulas to find Radius of Spherical Body 1

Go Radius of Spherical Body 1 given Van der Waals Force between Two Spheres

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

Go Radius of Spherical Body 1 given Center-to-Center Distance

R 1 = z - r - R 2

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

Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach evaluator uses Radius of Spherical Body 1 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 2)) to evaluate the Radius of Spherical Body 1, The Radius of spherical body 1 given Potential Energy in limit of closest-approach formula is the radius of spherical body 1 represented as R1. Radius of Spherical Body 1 is denoted by R₁ symbol.

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

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

What is the formula to find Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach?

The formula of Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach is expressed as Radius of Spherical Body 1 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 2)). Here is an example- -20689655172.4138 = 1/((-100/(4*6*1E-09))-(1/1.5E-09)).

How to calculate Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach?

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

What are the other ways to Calculate Radius of Spherical Body 1?

Here are the different ways to Calculate Radius of Spherical Body 1-

Radius of Spherical Body 1=1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 2))
Radius of Spherical Body 1=Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 2

Can the Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach be negative?

Yes, the Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach, measured in Length can be negative.

Which unit is used to measure Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach?

Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach can be measured.

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

​GoRadius of Spherical Body 1 given Van der Waals Force between Two Spheres Formula

​GoRadius of Spherical Body 1 given Center-to-Center Distance Formula

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

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

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

Other Formulas to find Radius of Spherical Body 1

Other formulas in Van der Waals Force category

How to Evaluate Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach?

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

Variable Name

GoRadius of Spherical Body 1 given Van der Waals Force between Two Spheres Formula

GoRadius of Spherical Body 1 given Center-to-Center Distance Formula