95.26: Two positive point charges repel each other wi 2nff.jyh5 75k3yr dtrth force 0.36 N when their separation is 1.5 m. What force djh5rny3f7 fd2 ty5k .ro they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be ramkw yz7/r9 9tx c38dl98bcoa7i.l dt emoved from an electrically neutral object to give it a net charge of 9c8o 9arltl9t3id/.ymx8wkcza d77 bQ = + 1.00 C ?

  13.15 In a circuit, the flow of electrons /2aww1m5 jb) ome; ibr0kvd 3l)gf)uhin 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 the number of electrons that pass through a vertical cross-sect mfo hv) 5lejawir31;wb)/u0gm)k2dbion of the wire during this time?

  13.07: Two identical particles are fixed in db1ph9 -ot9 eeplace a distance of 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which ont9h epd -be1o9e of the following choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spa- o9n,ljo: :*v,p stfqk4bcq nced by a distance R, what is the ratio of the gravitational force th,jptbsqol* nvf: ,4nc o-qk9:at 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 sety 6l9 6pfs em(svy5ki0s up 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 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 accelerail6 sek9vf s(m560pyytion? Ignore gravity.

  94.39: A small object with charge q and weightyqnr8+bj1/ e j mg is attached to one end of a string of length L. The other end is attached to a statiojjq8y + e/rnb1nary 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 and charge Q is connect3m m*r7k ag2 an wy/ys4rd 69flmqo3s,ed 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 ,sf rl2y 3nmm 4okgwq9s7ra 6/yma*3d 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 y+x d,w22pz psplates with equal speed v. Electron A is directe, 2wzpd+syp 2xd horizontally to 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 poinyczc w 9a 2chy;+-n*xtt charge exerts a force of magnitude F on a negative point charge placed a distance x away. 9-yczn x*ac2tc h;wy+If the distance between the two point charges is halved, what is the magnitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated)l(l *gdz- m/j vyeiu/ by a distance R, the force between them is F./g-e lyu(d)z m/lvji * If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distance prodr4(cv0bk41xedb brhr8jt .m(uce an electrical force ofF on one another. If t (crj. x 1(k0he8bmbb44rrdtv he distance is decreased to a 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 +3 .m/ rxzzwbav6wgo l;4d c/9c2q and -q separated by a distance 2d. If Coulo6oc ; wr /.wv z2dzcm/ag94lbxmb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a negative pointe(t(swdi q,uv7+ 7b ua charge of -q are separated by a distance d. What would be the magnituddi 7(, wu+q(vutab7 ese of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise emb.bf 8w3pyz2net t7p/s6-tjsf28v rbta 6w v5pty space as shown below.- ews5 jtp7pbvz2n/6tt8yb arf8v .23 bfs6 wt
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 w;k0:t x rhpx2shown below. 2tr:kphx0x;w
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 accompanying dia nh1gmu m x48i6.-itdmsnd51rgram. m4r1tmxi su.dn16m5dghn8 i-At which of the labeled points is the field most nearly zero?

  98.30: Four positive point charges awev slf8g-24t i;g feuz+2a48va6qd sre arranged as shown in the accompanying diagram. The force between charg4isd8 6 wq84g2ese;+afzaflt v v- 2uges 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 +4mxl(1 3w0yxg yi nr7h).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 t7xi)rhg lxyy3 (0wn1m he origin. The net electric field at the origin is zero. What is q?

  95.36: Assume the electric pote. b4-;w peym c,ddha5bntial is zero at infinity. A point charge of +4.0μC is placed on the negative x-axedb4 y wcp5.dm;, -ahbis 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. What is q’s charge?

  03.27: Four electrical charges are arranged on the colkep40kq +x zml5/x*srners of a 10 cm square as shown. What would be the direction of th/*e0xklk+sz4 qp5lxme resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the xq(d 2:*p m w8(lzu9* wssbimarmv+gu6 -axis, each a distance a from the origin as shown. At the point labeled P, a distance along they-axis from the origin, wr6p(d m 9gmq+v:sm* 2wz(aubw si*8 luhat is the direction of the electric field from the given charges?

  16.33 Given the configuration of three rh4g*)w(dz)i a ee6rrcharges, +Q, +Q, and −2Q, which one of the fol6g( w hdr ez)rar)*i4elowing choices best represents 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, total r dgee43 0+;g3fwrahlsg;-* y ykclsbhx2 3/xcharge Q, and a charge per unit length given as 33f*k d;w0xycg rg x-l gshle/23resa b4y+h; $λ=λ_0cosθ$ 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?