95.26: Two positive point charges repel each other with force 0.edb 0h 8;zl4cd5kcs 4d36 N when their separation is 1.5 m. What force do they exert on hd0bc4c 4 8dzkde ls5;each other when their separation is 1.0 m?

  12.13 Approximately how m 9yu pxe(vh6t6any electrons must be removed from an electrically neutral9vx6e6t (yp hu object to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizlg8w/; z s:: x-qpslgyontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the following choice-z/ q; xsgg:s8ll wyp:s best represents 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 place a distance ofm2 ,b/bf-1hgk ,2a8xezaxvlg 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,k21gevb x8- , ahxgfla/bz m2 best represents the magnitude of each particle’s charge?

  07.25: If two protons arn8ompfljoe7f ftk5 lu +(7/n 6e spaced by a distance R, what is the ratio of the gravitatiln6 ml 77 fo n/t8(kejpou+ff5onal 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 experiment with a pwmzy8p +h+rsy6(q zm 4roton 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 magnitudpmmq++y( rz y8h4wzs6 e 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 attaaf *e g3an.:xvac/qn5 ched 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 :a cf/n 3q5*ena avg.xpresence 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 connect4bf w) c9x(muy,n q(ki sxj2),em;trped to an insulating massless string in a vaqx92,)nybuw;fe m(,4xi rpjtm)c s k(cuum 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 capa::n loub 2.5kv1ln7oqdph3 hh citor plates with equal speed v. Electron A is directed horizontally to the left whi5:.7kdlnq 2:1 nph3lh bouvhole 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 mc o1j7w9fgbw; 1u*u9b d*3z5ij bwf bqagnitude F on a negative point charge placed a distance x away. If the distance between the two point charges is halved, what i c 5;zwuo9u*fd b9iw1bj7*13 jb wbgfqs 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 separat:- y6eqb(zezqfd g),fed by a distance R, the force between them is F. If the distance between them ezqd) y gz:b6qe-(, ffis quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distanceb/ea/3jjj a4 2hr14vh.smcdf produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, what is the ./2hdj1/avb43rse f 4hc jjmastrength of
the resulting force?

  96.34: A point charge +q is placed midway between two point chj5 4c-ti0 poyk)pwbyk iaj9lal-dgh 6- +-v *garges +3q and -q separated by a distance 2d. 5a* y0-i+- d9) - bjkoylptvawhcpgi k4j-g6lIf Coulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a negaa*ld nu7k 4ovc;o+k;g :f/q iotive point charge of -q are separated by a distance d. What would be the mv o k/;ok+ag4 d oiuf:7l;c*nqagnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inother 9btml::rf pe4(v -(rdswu6yxwise empty space as shown belr 4(xlsem u-dp f9v t6r(:b:wyow.
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 9lqi:o t/-) pcxeyh 9rylo2.p fixed on the x-axis in otherwise empty space as shown below. )etiop y yrl9hlq op2:x -c/.9
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 aniv t6xd d:7n4uu )u w3e6,zibbd –4Q are arranged as shown in the accompanying diagram. At which of thud, 3 7b6u)6: idewubinz 4xvte labeled points is the field most nearly zero?

  98.30: Four positive point charges are arrange5001nv(p2l5bqw 8oawxc(an buem ;m c d 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.ow n 5b;be(q0mn0ca2(mv 18 lw cxpau5 The magnitude of the total force on charge 3 is most nearly

  94.08: A point charge o: ftee9x/hv.nvh4 h a1f +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 origntxa9hvhf4 e /ev.1 h:in. The net electric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point charwlyw9 qx( zr3,ph-kc /ge of +4.0μC is placed on the negative x-axis 0.20 m to the left o3cwh- ,zr 9lp/k(qxywf 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 corners of a 1yc+de*o6 2lb w0 cm square as shown. What would be the direction of the resul*ew6byo2+ dcl ting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the wc,g,+ogje)/ bi6x fjy-l6rn x-axis, each a distance a from the origin as shown. At the pr-w) b6fjyj,/eno g+6lic, xgoint labeled P, a distance along they-axis from the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, which fb80nl)7cjtxk+ nz g,one of the following choices best represents the direction of the electric field at the point P and the sign of the electric p,fxjgnlck+b)t n 7 z80otential at P from these charges?

  17.43: A semi-circle hzf,l1-pybw qk+l 1j0an2 run9as radius R, total charge Q, and a charge per unit length give9 fan1-y1nj ll+zbrk2puq,w0n 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?