95.26: Two positive point charges repelu/ dd *p dd)bj2u.tb9n each other with force 0.36 N when their separation is 1.tj pddnub) b9d.d2u*/5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many el du)*io,ubi9hectrons must be removed from an electrically neutral object t9, oii*ubd hu)o give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flnmjbd+-ftu cfnaq /60, )mgoiij2 sv58*n6koow of electrons in 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-section of the wire during this timc +/ *5ni)jvt8 f6m,qna-u onmijkgd0sfb o 26e?

  13.07: Two identical par*v+a;qdsd 6 fsticles are fixed in place a distance of 0.50mapart. The electric force that one particle exea +sv qf;dsd6*rts 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 of5yy 9dk bsy.eds10j3j the gravitational force jk03sds yj5. 9b d1eyythat 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 p2;j2bfkk:9a wu9rvayh r27e p roton 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 magh ; wu:vep22k9kf9ray2jar7b nitude of acceleration? Ignore gravity.

  94.39: A small object with charge q and weight uc 6b.pgiatf1+lva2 -mg is attached to one end of a string of length L. The other end is attached to a stationaib v+.1f2ctg 6a-apulry 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 ovm2nvg q6e ;m:f mass M and 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 is cut, which of the illustratgn 2q6:vvme; med paths best indicates the trajectory of the mass?

  13.29 Two electrons entn(* jztfej*;prj+k2fgtk4 2ler a region between charged capacitor plates with equal speed v. Electron A i g;pj(2*kzje*ktl2 nf 4+ jrfts directed 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 point charge exerts a force of magnitude F on a 1dvt m*v;kk6q negative point charge placed a distance x away. If the distance between them ;q1v dtv6k*k 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 separat /-kuej: t68kbfrzt 9ked by a distance R, the force between them is F. If the distance between them is bkuk:k6/t98tj- ez r fquadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a e5x(dd6x v9p8r:pc wu distance produce an electrical force of9(v8cwxedp 5 p:d6u xrF on one another. If the distance is decreased to a distance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q ijz 7d;pj3i sd5s placed midway between two point charges +3q and -q separated by a distjjd7idp3; zs 5ance 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 and a negative point ch7khg:tap z+d :arge of -q are separated by a distance d. What would be the magnitude of the electric field midway beg+hd7atzk ::p tween the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty spayukc8tabx3qb5(s 7k d z/d8u ,ce as shown be7 ,5buqszbk 38audctdk( /y 8xlow.
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 s;-baoaa5xr/ njz(v(0gnd6d m pace as shown below.v (njobax-0(a ng dmr6/;z5da
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 accompan wq*fo/s8old 14 sr*uaying diagram. At which of the laaow r*d u8o/*qs sl41fbeled points is the field most nearly zero?

  98.30: Four positive point charges areyr982 y1me4ne0c nl,lcponb; 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 c epnnll 0cn9mey2y;8,4 ob1r the total force on charge 3 is most nearly

  94.08: A point charge of +4.0 μC is placed on + v4p6wp sd2.bjae5us 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 electric field apd 5pe2sb6+4 usj.vwat the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point charge of lwz4hybcag+n99(:w2 e4 mbnefi;ct* +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 pl ftw4n 9 i*(bzha:c;ye2 lwe94c+mnbgaced 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 10 cm squfm a55rxs+o3 xare as shown. What would be the direca5o m+x r5fsx3tion of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on th.cveajro wy28 .n*7bye x-axis, each a distance a f8.7vjea*rcw o.2by nyrom the origin as shown. At the point 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 chab - ow3:t4(rpoes+rr6qw q)h0)bud slz( jh j7rges, +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 from these charge rl)w6ueo:jqrh3r7t d4(qb0j)z+ ob(- sh spws?

  17.43: A semi-circle has radius R, total charge Q, and a charge per unit lexq*6n:t*d)l w y1 v4jmtugv3tjy 7au *ngth given wt:q7*n x6mlu*j)g4j y1du a*vyt3tv 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?