95.26: Two positive point charges repel each other with force 0.36 N when their2h1whon5v5d5tz+ 0 zqf age v5 separation is 1.5 m. What force do they exert on each other when their s+vf vgnehwzt1 5d5o2a5q z0h5eparation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an elec u+ 7 :2ny;wqo/jqlpio 29vgictrically neutral object to g i9jy;:o vi7ucp2 qw n+/ol2qgive it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electri+j9cbed ,9 awuz7bwsvl+;hg; xhjx )x40e1mons in a horizontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the follzhwuxselg+ 7 ) 1vca;4,9j0iwjxb ;mex9bdh+owing choices best represents the number of electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical p .9lq jtt qtk7*29pdovarticles are fixed in place a distance of 0.50mapart. The electric fj9* p2t d9l7ov tqkqt.orce 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 protons are spaced by a dista*yk. tb p7hl+vnce R, what is the ratio of the gravitational force that one y bkvh.7*+plt
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 experimw*n,(kfwq6 d tfof(s /ent with a proton of charge Q and mass M being placed near a helium nucleus (2 protons andfww/ fo6ds*q(,tk n(f 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 acceleration? Ignore gravity.

  94.39: A small object with charge q and weight mg is attached to one end ofgq:*; zib 1ytof3k 23xggvl 9o a string of length L. The other end is attached to a stationary support. The system is placed in a unifogzl2* : 3b ogiy 1f3t;xqkovg9rm 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 connecnzf;w*q3 : 7ug .wurzhted 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;w * ugrw:.f7hzn qu3z 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 fva y w *uwq2-*qg6h: /smm( nv6eimw6enter a region between charged capacitor plates with equal speed v. Electron A( q2 uygsq e mhamwnf6w-6/w6*:iv mv* is 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 negative poinpv4 zcjr v:c1b o86cz y:68quat charge placed a o::68z cjc8vb1ya6qvc4upz r distance x away. 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-li4srblq o((1w ske objects are separated by a distance R, the force between them is F. If the distance between them is quadrupled, the force between tlw1qsr4b (so (hem is

  03.18: Two identical electrical powne)a h-ytg mdw7 -t4-int charges Q, separated by a distance produce an electrical force ofF on one ano- w4a)7e wmhy dtn-gt-ther. 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 is placed midway between two point charges +3jp.d2x ;kf zka:ffj: 5 m(5fpjq and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the pjjkx: ; k fdfz5fpf 5j.2m:(aforce on the charge +q is:

  01.31: A positive point charge of +q a;dot*1k; qdwqvvc :/cnd a negative point charge of -q are separated vvq; dc:1;/ qodkw*ctby a distance d. What would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty space as e,gd c*d t:tm6 w;rxx.shown bew6cg;t ,:d. mxxet *rdlow.
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 txx3wz x+u;jh dq9c6(h he x-axis in otherwise empty space as shown below. h 3xc9xw;z6xdu +j q(h
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 acc2 ua3m/ ey,tzhq gzj:;3+gs vpompanying diagram. At which of the labeled points is the field most /q,2:m3eu zv+j szh t3p a;ggynearly zero?

  98.30: Four positive / 5pchz ew0l,tw bel :+cr.l.wqa58hxpoint 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 p0h :b8l,a wz h+tle.re lww/qx.5 cc5and 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 +4.0 μC is placed on the negative x-axis 0.20 mbi+r yy7m fez n 1pl6e:k jhbha)*-8x3 to the left of the origin, as shown in the accompanying figure. A second point charge q is placed on the posit1hj-6bireklz7 )yfymnxaph83:e b+ * ive 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 electroam4z;h d8/t s drf5qc yjr/)kxv9 ),fic potential 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 p);,a9 x jdzs)45f8c voy /frqhk tmd/roint 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 cornersnp in (3 -y,eo+lp5mz2tq1 s2 gar/lhu of a 10 cm square as shown. What would be the direction of the resulting rea2y2n ph3l(qt-up1 /gni+slo z,m5electric
field at the center point P?

  14.10: Two charges −Qrm4kv y; (zpm- 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 fyp -mz(4;kmr vrom 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, whic *r54px*r: s lmdw7hgsh one of the following choices best represents the direction of the electriclsg7*x *hw:s rrd5p4 m 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 charge Q, and a cha hl6; )8dso;adbt wfb pg*7i,jrge per unit length *bj ;b8 7ifpl;w6todah,)dg sgiven 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?