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Chapter 21: Q26P (page 626)

What is the magnitude of the electrostatic force between a singly charged sodium ion (Na+, of chargerole="math" localid="1661780999867" +e) and an adjacent singly charged chlorine ion (Cl鈭�, of charge-e) in a salt crystal if their separation is2.82脳10鈭�10鈥尘?

Short Answer

Expert verified

The magnitude of the electrostatic force between sodium and chlorine is 2.89脳10鈭�9N.

Step by step solution

01

Stating the given data

  1. Singly charged sodium ion, Na+, of charge+e and a singly charged chlorine ion, Cl鈭�, of charge 鈭�e.
  2. The separation between the ions, r=2.82脳10鈭�10m.
02

Understanding the concept of Coulomb’s law

Using the formula of Coulomb's law, we can get the magnitude value of the electrostatic force of attraction for oppositely charged bodies.

Formula:

The magnitude of the electrostatic force between any two particles,F=k|q1||q2|r2 (i)

03

Calculation of the magnitude of the electrostatic force

The magnitude of the force using the given data in the equation (i) is

F=ke2r2=9.00脳109Nm2/C2鈰�(1.60脳10鈭�19C)2(2.82脳10鈭�10m)2=2.89脳10鈭�9N

Hence, the value of the force is 2.89脳10鈭�9N.

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Most popular questions from this chapter

Question: (a) Explain what happens to the balls of Problem 42 if one of them is discharged (loses its charge qto, say, the ground). (b) Find the new equilibrium separation x, using the given values of Land mand the computed value of |q|.

Two small, positively charged spheres have a combined charge of5.0脳10鈭�5鈥塁. If each sphere is repelled from the other by an electrostatic force of1.0Nwhen the spheres are2.0mapart, what is the charge on the sphere with the smaller charge?

Two equally charged particles are held3.2脳10-3m apart and then released from rest. The initial acceleration of the first particle is observed to be 7.0m/s2 and that of the second to be 9.0m/s2. If the mass of the first particle is6.3脳10-7kg,, what are (a) the mass of the second particle and (b) the magnitude of the charge of each particle?

In a spherical metal shell of radius R, an electron is shot from the center directly toward a tiny hole in the shell, through which it escapes. The shell is negatively charged with a surface charge density (charge per unit area) of.6.90脳10鈭�13鈥塁/尘2What is the magnitude of the electron鈥檚 acceleration when it reaches radial distances (a)r=0.500Rand (b)2.00R?

Three charged particles form a triangle: particle 1 with chargeQ1=80.0nCis at x ycoordinates (0,3.00mm), particle 2 with chargeQ2is at (0,鈭�3.00mm), and particle 3 with chargeq=18.0ncis at (4.00mm,0). In unit-vector notation, what is the electrostatic force on particle 3 due to the other two particles ifQ2is equal to (a)80.0nCand (b)鈭�80.0nC?
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