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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

Figure 21-12 shows three pairs of identical spheres that are to be touched together and then separated. The initial charges on them are indicated. Rank the pairs according to (a) the magnitude of the charge transferred during touching and (b) the charge left on the positively charged sphere, greatest first.

In Fig. 21-28a, particles 1 and 2 have charge 20.0渭Ceach and are held at separation distance d=1.50m. (a) What is the magnitude of the electrostatic force on particle 1 due to particle 2? In Fig. 21-28b, particle 3 of charge 20.0渭Cis positioned so as to complete an equilateral triangle. (b) What is the magnitude of the net electrostatic force on particle 1 due to particles 2 and 3?

In Fig. 21-38, particle 1 of charge +4eis above a floor by distance d1=2.00mmand particle 2 of charge+6eis on the floor, at distanced2=6.00mmhorizontally from particle 1.What is the xcomponent of the electrostatic force on particle 2 due to particle 1?

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.108Nwhen their center-to-center separation is50.0cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0360N. Of the initial charges on the spheres, with a positive net charge, what were (a) the negative charge on one of them and (b) the positive charge on the other?

In Fig. 21-39, two tiny conducting balls of identical mass mand identical charge hang from non-conducting threads of length L. Assume that u is so small that tan u can be replaced by its approximate equal, sin u.

(a) Show thatx=(q2L2蟺蔚0mg)1/3gives the equilibrium separation xof the balls.

(b) If L=120cm,and, x=5.0cmwhat is|q|?
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