95.26: Two positive point charges repel each other with force 0.36 N w3hsju+k6tqke8qz xwxh 9t9f) qfj 7:/hen their separation is 1.5 m. What force do they exert on eak+k7e6zx9 w/h)83xfj : qqst9jhft quch other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an electrically neubxxt;0wf*x,ark-n mh0+s 4satral object to give it a net charge of Q = + 1.0xa0x sn0a4;xf,t r kb*w+h- sm0 C ?

  13.15 In a circuit, the flow of electrons in a horizontvh vpv;t cs 6k3vex)3;al wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the following choices best rek36 v vvp;x;thv)cse 3presents the number of electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in placev7kk,t 2gdh9i 2si9zr a distance of 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which one of the following choices best represents the magnitude of each particd 792zgsi ihkkr9v t,2le’s charge?

  07.25: If two protons are se puz npou3 -+j*tp:1ypaced by a distance R, what is the ratio of the gravitatio+te o 1py-:pzu n3pu*jnal force that one
proton exerts on the other to the electric force that one proton exerts on the other?That is,$\frac{F_{gravity}}{F_{electric}}$=

  10.12: A scientist sets up an experimentxpn/ pw/i 0)wg with a proton of charge Q and mass M being placed near a helium nuwn wx/pg/0pi )cleus (2 protons and 2 neutrons) of charge +2Q and mass 4M. The objects are each released from rest and begin to move. From the scientist’s point of view, which choice best describes the object that experiences the greatest magnitude of electric force from the other and which object experiences the greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object with charge q and wei2yc6f;: dc4ehu7m mspght mg is attached to one end of a string of length L. The other end is attached to a stationary support. The system is placed in a uniform horizontal electric field E, as shown in the accompanying figure. In the presence of the fic dey:smpc2m;hu6f 74 eld, the string makes a constant angle q with the vertical. What is the sign and magnitude of q?

  09.38: A small object of mass M and chargoyt48d/fdne 8e Q is connected to an insulating massless sno tydf48e/8d tring in a vacuum on Earth. A uniform electric field exists throughout the region of the vacuum as indicated. The mass remains in static equilibrium at an angle of θ with the vertical as shown in the figure. When the string is cut, which of the illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region between charged capacitlcti3j c voj+ ,y:z81onz6xcqz * wy25or plates with equal speed v. Electron A is directed horizontally to the left while electron, it2xzl8:5wvy q16zz3ojnc+j c*coy B is directed at$30^{\circ}$below the horizontal. Each electron makes it to the left-hand plate. Which one of the following choices best compares the speeds of the charges ( $V_A$, $V_B$) upon arrival at the left plate? Consider only the electrons A and B’s interactions with the constant electric field between the plates, ignoring any relativistic effects.

  08.06: A positive point charge exerts a forcv8a7usmu+xz ypl:o 49fwp h,5e of magnitude F on a negative point charge placed a distance x away. If the distance between the two point charges is halved, what is the magnitude of the new force that the positive p84,ha:f uyp+w u9ox7lpmvzs5oint charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separatex mg*,0s)g ec4g jxuf(d by a distance R, the force between them is F. If the distanufxmc*jg, g) gx4s(e 0ce between them is quadrupled, the force between them is

  03.18: Two identical electrical point char;b+ q6id6ht5dz( jhytv :y7r nges Q, separated by a distance produce an electrical force ofF on one another. If the distance is de(yt;rdj dt+7b qiv: h5n 66hyzcreased to a distance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q is placed midway betweeyd+-eyx: c . ie0w/zjexqj8sa) .v1-qop) pwr n two point charges +3q and -q separated by a distance 2d. If Coulomb’s cons.v )pqzqdw w-jx e/po8a 10yee+-s .cx j:)yritant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge8l q- rz 8txnp+fvlk)cq,9 ig* of +q and a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between t8l89+ kv *)lpi gcrnqxt, -qzfhe two charges?

  08.33: Two point charges are fixed on the x-axis inotherwiseruvi/* 0m; gndlvtwzzgc.+(b 6b6 2ov empty space as shown beo+z n2wurg v b6*;zm0vc6(dvbt.gli /low.
In which Region(s) is there a place on the x-axis (aside from infinity) at which the electric potential is equal to zero?

  08.34: Two point charges are fixed on the x-axis in othw.(c9j3hnt o5p:g anxerwise empty space as showhp3wnxc 9ng.t5ao(j : n below.
In which Region(s) is there a place on the x-axis (aside from infinity) at which the electric field is equal to zero?

  98.23: Two charges +Q kj sn0q/p,s,wndfk1w b5hx*(and –4Q are arranged as shown in the accompanying diagram. At which of the labeled points is the f ,15* hnqkn k bxfsw0(,dp/jswield most nearly zero?

  98.30: Four positive point cbuny*(mh9f1.six31x mx:ebph l e p4.harges are arranged as shown in the accompanying diagram. The force between charges 1 and 3 is 6.0 N; the force between charges 2 and 3 is 5.0 N; and the force between charges 3 (ls1* peh.bnp3b exy1uix m f:x m9h4.and 4 is 3.0 N. The magnitude of the total force on charge 3 is most nearly

  94.08: A point charge of +4.0 μC ax15q mbyp8. v.fncd,is placed on the negative x-axis 0.20 m to the left of the origin, as shown in the accompanyi8vp.da .1yxm,qcn bf5ng figure. A second point charge q is placed on the positive x-axis 0.30 mto the right of the origin. The net electric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinitmkhb+s zszkcg-58 /0yy. A point charge of +4.0μC is placed on the negative x-axis 0.20 m to the left of the origin, as shown in the accompanying figure. A second point charge q is placed on the positive x-axis 0.30 m to the right of the origin. The net electric potential at the origin is alsgb-s cy8zsh+ z 05mkk/o zero. What is q’s charge?

  03.27: Four electrical charges are arranged on the cw g( :zhufex6u 6/7lhworners of a 10 cm square as shown. What would be the directf 7xwheu( :wu 6g6/zlhion of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on . dph hn gs,dhg8:,4ncthe x-axis, each a distance a from the origin as shown. At the point labeled P, a distance ah,c 4n:dnd,8hgg.s phlong they-axis from the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configurationk0/vx0p9u j 5 mg0cfzq of three charges, +Q, +Q, and −2Q, which one of the following choices best represents the directij 00pkm9 fcu/qz0xgv 5on of the electric field at the point P and the sign of the electric potential at P from these charges?

  17.43: A semi-circle has rad6l 2s:0cgf4siw, zww w3 ey,vnius R, total charge Q, and a charge per unit length given evcy,3lzw24 iw6fs0nw g:w, s as $λ=λ_0cosθ$ with θ defined in the figure and $λ_0$ a positive constant. Which one of the following choices gives the electric field strength at the point labeled P?