95.26: Two positive point charges repel each other e-g e;2-j 31(4zzuce bi6m dlo cldu0xwith force 0.36 N when their separation is 1.5 m. What force do they exert on each other whed b g ie x0ol-l1due(jz2-ecmzuc;634n their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an electrically neut0wkatx4ly. *yral object to give it a net charge of Q = + 1.00 C yx40wakl. *yt ?

  13.15 In a circuit, the flow of electrons in a horizontal witj97fe-q06e j6 gk3 ppkq,.srzbxe1 p2fx ff1re produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the following choices best represents the number of electrons that pass through a9 xfpfg7ekfqs6,t0z-p 2j .k631eb qrjxf1 pe vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in pla+vu1m/ 3nx,zd q 3llkmce a distance of 0.50mapart. The electric force that one particle exerts on the other ha,dz3q3kvlm1 m/ u+nxl s a magnitude of 3.00 N. Which one of the following choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced h1bdrk40 3i i.84kh/ q tfzgayby a distance R, what is the ratio of the gravitational force /3hk0ib a z41.hf8tygrqi 4dk 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 experiment with a 2c6ia2tc2 i lfproton of charge Q and mass M being placed near a helium nucleus (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?2c6 aift lc2i2 Ignore gravity.

  94.39: A small object with charge q and weightd(o2e7 9ndwqb mg is attached to one end of a string of len 2eobnd79( wdqgth 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 field, 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 t6 umq1h8+ kn.apwrh(tlt.qxuv-f/,and charge Q is connected to an insulatingt/.fuumah,1q 86.nhtt w( vrq+pkx -l massless string 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 capacitor plates with equalvh8p ;vwsmyvv -0rpz( ss3, 6i speed v. Electron A is directed horizontally ti; rvp,v6m0pz3( wsv-8yhs vso the left while electron 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 lvis1rke b a )r74i5g7a force 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 thg7 lbrr4 1ik s5ai)v7eat the positive point charge exerts on the negative point charge?

  98.08: When two charged ppt y283xjj8 6tz k4vjcoint-like objects are separated by a distance R, the force between them is F. If the distance between t8t3vz42 8tj j ycpk6xjhem is quadrupled, the force between them is

  03.18: Two identical electrical point c(hoa w -7rhuh7harges Q, separated by a distance produce an electrical force ofF on one another. If the distance is decreased to ao-a7hhu h(r7 w distance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges +3q 34bc,dda qr4f5wc;(; n3 x xfyr.dz cuand -q separated by a distance 2d. cbcxy.fqza; xn(r,3 wf;d 4 cu4 d3rd5If Coulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive poin*b tgq/z dz:uqt9;vmb( uh53 gt charge of +q and a negative point charge of -q are separatz/t*:b3mdgqb ugq ;59zuht v(ed by a distance d. What would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixe3fz t:.d4solwthk3dja sdhv64;f06gd on the x-axis inotherwise empty space as shown bt4 dhvds ozwf.astd f0 36k;6 4gj3:lhelow.
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 otherwise empty space as sh ; 9 wsm-c bog :dig;5gsytzn,6u6r0vvo;;0 w95 ,rgmct iusovbvnd:6s-6gy gzwn 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 and –4Q are arranged as shown i1ns q.y.qu ;x2htq s6wya5.i81x i vcjn the accompanying diagram. At which of the labeled points is the x iqtuchqi.ay;5nsxj8s v 2qy.1w6 .1 field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the acnsk 4n.7xkxx2companying 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 and 4 is 3.0 N. The magnitude of the total forcen x24. kxknsx7 on charge 3 is most nearly

  94.08: A point charge of +4.0 μC is placed on the negative x-axis 0.20 m to theg 74lihqzdk,8fsu1 a. left of the origin, as shown in the accompanying figure. .7giq4 zdf, l1ks 8auhA 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 electsl12h p ,t*gabmyfs 8mh .,q/mric potential is zero at infinity. 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 also zero. ,1hb.p*ql/ ymtmsh s,m8 2fag What is q’s charge?

  03.27: Four electricalny+ l 5n*sfjn2o)nvr 7 charges are arranged on the corners of a 10 cm square as shown. What would bef +*75nn onjs2)rvlyn the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the x-axis, each a dista2kkl;5v rm9hwnce a from the origin as shown. At the point labeled P, a distance along they-axismwkrv9lkh 2 5; from the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, n gk- v0q(qt-y+Q, +Q, and −2Q, which one of the following choices best represents the direction of the electric field at the point P and the sign of the electric potential at P frq 0vgnk q(y--tom these charges?

  17.43: A semi-circle has radius R, total charge Q, and a charge per r/e 8v gl1tc4mcn+, ka z+jz3r unit length giv3+r zl 4vjz81 cm/a+,ecgnktren 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?