95.26: Two positive poinjbr)0d9ixq6*xv snk ( t charges repel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each other when their separation is 1.0 m?xir*(9 vk 0s)jnbq6 dx

  12.13 Approximately how many electrons must be remonj +gj(xv2r o1j3(:tpa b i,ejved from an electrically neutral object to(jr(j:i jj3 vet ax1gb2onp+, give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontal wire produces a conscnjk bc; e.:l6tant 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 a vertical cross-section oc6 :l; bjke.ncf the wire during this time?

  13.07: Two identical particles are fixed in place aa)w* 3we sso2c distance of 0.50mapart. The electric force )eo2*ascww3s 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 particle’s charge?

  07.25: If two protoni6 kqa 7/zzrudh( ;g4ls are spaced by a distance R, what is the ratio of the gravitational force that o 4(;kriz6g7lqhua /zdne
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 wi/mm7l4dujsa cq8+ b.pth 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 to move. From the scientist’s point of view,+mp7 bs4/ jluac.dmq8 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 anl6ll k 3-i cc4fl(8jldd weight 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 thei4k6-l8cfl (3 cl djll 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 and charge Q is connected to a pom;i2aj8(t a)okat2w t( w;cn insulating massless string in a vacuum on Earth. A uniform electric field exists thro mkwitto(a; oa)28p2(wjat c;ughout 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 cjf ;0hpf9* xwpd8l0+tgeqvc l5o53dl apacitor plates with equal speed v. Electron A is directed horizontally tov ;c+d3ptq l05xfl9*dho8lfw5e gjp0 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 a force of magnitude F on a negative9kw:zlap, iqzcq m+0u9 h3dd2 point charge placed a distance x away. If the distance between the two point charges is halved, what is the,2qi+d3:z l 9kpzchdqmuw0a 9 magnitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like obj.8yv a3.f;lmfsrrpyvd(bqof y ,898 u ects are separated by a distance R, the force between lf,vs8 y9fo ;3r (ybpd88yf. r .vquamthem is F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distance lkib.w,x zv rcg2o/*g6o +k g 5,lnh6iproduce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, 6gihlwioxgzk *.,groc6 l25bnk/v , +what is the strength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges/d a wfdr*;k r-54zrhdi+taa 7 +3q and -q separated by a zr-;dh 7* tw/ada4 iraf5rk+ ddistance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q ot6d( ei4wm6land a negative point charge of -q are separated by a distance d. What would be the 66m( eilwtdo4magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on thaqjxl;3g y2j+8:es lov pe*kzu3b9n e1 3/uf ce x-axis inotherwise empty space as shown below1buake33+uojl *2 gf:es 83xc/q vpn9 ey;l jz.
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 lw* z1 *-v4h5( etbukwamhh)c shown belw) azvb4tm5h uh(*chw*l1ek-ow.
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 in the accompy05djsxp.1 s iaq7*y3iue ;nw9f 5nlranying diagram. At which of the labeled 7ine5xaif 0;yl9w1y53ps drsq u*nj.points is the field most nearly zero?

  98.30: Four positive point charges arcdj7jljz ,v s z182rqx.3n)w ne arranged as shown in the accompanying diagram. The force between ch c)87n.w jzs2 jjdnzx1,rv 3qlarges 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 force on charge 3 is most nearly

  94.08: A point charge of +wdhz7;jw5mb.c( t)rq 4.0 μC 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 mto the right of the origin. The net ele5; w7 b)mzj tcqhr(w.dctric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point charge oflp n7-38hrkz 1kod+s+v x9f vz +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 vz1vz3- + 9dnk7s fxloh+p8 krthe positive x-axis 0.30 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 on the ; l81fz qnb :b9fl(68fzenocfcorners of a 10 cm square as shown. What would be the direcn9b:cz; 6ln 8fffqz1bleo(8f tion of the resulting electric
field at the center point P?

  14.10: Two charges −Q andj )x3r kk8-5 cgsu-at.a,yp t2 zcc4yk +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 direction,kt yc )kac5at yg .jc-4x3r82szu-pk of the electric field from the given charges?

  16.33 Given the configuration of three charges, aat6,kyehn0cg22 h3 p0i m1nv+Q, +Q, and −2Q, which one of the following choices best repres 6n 2emcg iphvy,003naahk1t 2ents the direction 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 radius R,; l5ych8emr s1rio))w total charge Q, and a charge per unit length given a8m wlr1cy;isohr)e ) 5s $λ=λ_0cosθ$ 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?