95.26: Two positive point charges repel each other with force 0.36 N t3v (ga ej20/x*g5ytann- qinwhen their separqa2gjn(*g/0e n3n-yx5i a v ttation is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electe)v;,isl ) xca (ovk 0yvxh-njb* :yi1rons must be removed from an electrically neutral object to give it a net charge of 0)(y *lebhxxkjiv)1 cn vi s-:;,vy aoQ = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in muc qsixe0014-r*l,acs 0aoy7w xgu/ a horizontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the following choices best represents txia /cy uro *s,ws 47c0m-l0eg0uqax1 he number of electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in place a distance ofm7gv4v.58j;hb +l3sd gx pzwa 0.50mapart. The electric force that one particle e4am7h;wdg 3 z +x8pj sgb.5vvlxerts on the other has 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 by a distance R, what is the ratio of the graviq: eo z9j h*ga1,vnh0wj 3:dpstational force th:djq h3wzg os:*0hvpj n,19a eat 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 6 (tpxt+1 u*z +gctmktup an experiment with a proton 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 tomptt+ut1 (* gkx+tc6z 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 weight mg is atta2mq xye0uh p3:nn3 3lsched 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, y :sp 3nn2e0hxm3ulq3as 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 andq/--i( s)du/ hib7v iaxl5ne t charge Q is connected to an insulating 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 udix tn-q i(b/l7/5)eh -avisis 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 equal tydy-hnt6l2t:prt. *45 nlf v speed v. Electron A is directed horizontally to the left while electron B isynnt 4y5 6tfrdl*:v2tl-h p.t 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 force of magnitude F on a nega/3h xsvrw+(g- ulc /gttive 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 tcl3g -hws+/rug /v(txhat the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated byb,t1 3orjy /uz fzw:u; a distance R, the force between them is F. If the distance between them is quadrupled, tzz yfou, ;t1w br:u3j/he force between them is

  03.18: Two identical elecr r5 y vi+4uv9rzcm:ul2d r;g,trical point charges Q, separated by a distance produce an electrical force ofF on one another. If the distance is decreased to a dist drur9vgvr4: +zcy;5 lru,2imance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q ,m((si 0caceg nzu:z,is placed midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’scn u0(,zmecizg :( ,sa constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a negative ;2 q vq7toid5a7(f,j wcypyy4 point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between the two charvjd7f4y ocy52 aw(tp i7q;yq,ges?

  08.33: Two point charges am)gcn ,qlsq aj68/ 24khzxy.bre fixed on the x-axis inotherwise empty space as shown jq8mgyc/lzn 2 h.x4,aq bs6)kbelow.
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 e6 9ogc x:pxns280vf bympty space as shown belb0 g89sx2v p:x onf6ycow.
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 bx,neg c0c1:n4ivav) ca4v a0shown in the accompanying diagram. At which of the labeled points is thenaa 1v40cn,) bx0cgvi:v4aec field most nearly zero?

  98.30: Four positivev iw0-ce1:6qur opl6 b point charges 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 and 4 is 3.0 N. The magnitude of the total fv-b61l:0uqc ip owe6rorce on charge 3 is most nearly

  94.08: A point charge of +4.0 μC is placed on thetk -i58z9vbyo vv8t j- negative x-axis 0.20 m to the left of the origin, as shown in the accompty8jv- vbz8oti-k5 9v anying 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 potent a/ np1du asv0brgd+/.ial 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 01u /bp/v0.+d rdnaasg.30 m to the right of the origin. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are arranged y2 cc zt4u5sj,on the corners of a 10 cm square as shown. What s452cu ,jcztywould be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q o;(+dzcgahlik0gt0 e dbe )07 and +Q, are fixed in place on the x-axis, each a distance a from the origin as shown. At the point labeled P, a distance along they-axis from the origin, what is the d)+0a7ge dl0bhcgtd0o z ;ei(kirection of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, t i)ouc 7.ckhjnk3 (q0and −2Q, which one of the following choices best represents the direction of the electric field at the point P aj3ou t.q0 7cik(hck)n nd the sign of the electric potential at P from these charges?

  17.43: A semi-circle has radius R, total charge Q, and a charge per unit l2g: kq43qr1yqx,m nc) k i9quhength givem1 4,cuqqr9i)xqhkg3:q2k ny n 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?