Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

At what distance is the electrostatic force between two protons equal to the weight of one proton?

The electrostatic force between two protons equal to the weight of one proton, when the two protons are placed at a separation of 0.119 m.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given data

The force of repulsion between two protons is equal to the weight experienced by a proton.

Step 2: Weight

Weight of an object is defined as the force by which the Earth attracts the body. The expression for the weight is given as,

$F = m g$

Here, F is the weight of the object, m is the mass of the object and g is the acceleration due to gravity.

Step 3: Calculating distance

The electrostatic force between two protons is,

$F_{e} = \frac{K q^{2}}{r^{2}} - - - - - - - - - - (1.1)$

Here, is the electrostatic force constant $(K = 9 \times 10^{9} N - m^{2} / C^{2})$ , q is the charge on protons $(q = 1.6 \times 10^{- 19} C)$ , and r is the separation between the protons.

The weight of one proton is,

$F = m_{p} g - - - - - - - - - - (1.2)$

Here, m_p is the mass on a proton $(m_{p} = 1.67 \times 10^{- 27} k g)$ , and g is the acceleration due to gravity $(g = 9.8 m / s^{2})$ .

Since, the electrostatic force between the protons equals the weight of one proton.

Equating equation (1.1) and (1.2),

$m_{p} g = \frac{K q^{2}}{r^{2}}$

The expression for the separation between the protons is given as,

$r = \sqrt{\frac{K q^{2}}{m_{p} g}}$

Substituting all known values,

$r = \sqrt{\frac{(9 \times 10^{9} N - m^{2} / C^{2}) \times {(1.6 \times 10^{- 19} C)}^{2}}{(1.67 \times 10^{- 27} k g) \times (9.8 m / s^{2})}} = 0.119 m$

Hence, at a distance of 0.119 m the electrostatic force between two protons equal to the weight of one proton.

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College Physics (Urone)

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Short Answer

At what distance is the electrostatic force between two protons equal to the weight of one proton?

Step by Step Solution

Step 1: Given data

Step 2: Weight

Step 3: Calculating distance

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College Physics (Urone)

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Short Answer

At what distance is the electrostatic force between two protons equal to the weight of one proton?

Step by Step Solution

Step 1: Given data

Step 2: Weight

Step 3: Calculating distance

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