95.26: Two positive point charges repel t ctfv+t6d 3r0hdntpl. -(1( ik b0wkueach other with force 0.36 N when their sedt0(6 wvtfc(lbu it.0k+t1-n 3hprk dparation is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electron;e ls.r9.ktyp9 qz) 0vh-+lwi 7bbnaidje 2 *as must be removed from an electrically neutral object to give it a net charge of Q 2bh0v9ap+.ay 9e r.niel-b)zti d;l7k*j s wq = + 1.00 C ?

  13.15 In a circuit, the flow of electoe: (e8cjjay 0rons 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 e0ajjoe8e:y(c lectrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in place a distance of 0.50mapart+q8io) . xoc+7q l.uzwya-vrsy k9z/l. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which one of qqu +7 +./zlaxo9y8 -kziwlrsy)v o.c 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 t kv4 -.yufplg8he ratio of the gravitational forcek8- .flpyu 4vg 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 proton of charge Q and mass M bejnaih+,k l:1 ling 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 expe lin+a,k l:j1hriences 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 o.81 tsusy)apl f a string of length L. The other end is attached to a stationary support. The system is placed in a uniform horizontta8sl )u.p 1ysal 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 ma(dmb)2w) .lvhqswzo , ss 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 indi w)whmz.s )ql,2vd(b ocated. 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 capacitor plates wi n72 /rujfptr0th equal speed v. Electron A is directed horizontally to the left while eltur0/ rn j2p7fectron 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 ,brkh.h; 2w t-qq6.v4 a mfz5blou3 famagnitude F on a negative point charge placed a 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 poina .fl ,v6hhkaq2.q 4u-5wrbzb 3t;om ft charge?

  98.08: When two charged point-like objects ahae xg 7 m3pf(u1m1k9*acj a5fre separated by a distance R, the force between them is F. If the distance between them is quadamju*a1e1 p(g73fh5 mcf k a9xrupled, the force between them is

  03.18: Two identical electrical point chv)pvmq i/x ,3larges Q, separated by a distance produce an electrical force ofFxm/li3vqvp , ) 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 is placed midway between two point charges +3q and -q sk,vapy f q6:9:u (yq .*faj*ykze4oydeparated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on t4z(*fpoy f 96 ,uj::k*deyyka qqvya.he charge +q is:

  01.31: A positive point charge of +q and a negative point charge of -q a ub,;c1c rj1cqre separated by a distance d. What would be the magnitude of the electric field midway between thcc1,ruj1 bq ;ce two charges?

  08.33: Two point charges are fixed dd hwot.o(wfo24ro (( on the x-axis inotherwise empty space as shown below. d ofw4r(w.o 2t(hdoo(
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 npn9a*wd )w873hz 1:uxot/jo yas z 9sfixed on the x-axis in otherwise empty space as shown below. )szxz apnod j :wut/99hsoa17n8* 3yw
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 *we,q. t) nmondiagram. At which of the labeled points is the field most nearly zero?.)nn, eqotwm*

  98.30: Four positive point charges are dr3kfo 9 vt//zk eb,p-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 be kt3e, orz9f/k vd-bp/tween 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 uc joqu40r x68on the negative x-axis 0.20 m to the left of the origin, as shown in the accompanying figure. A second point char8r c064qoujxuge q is placed on the positive 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 electric potential is zero at infinia; 9g24jn q)yh8wtnpk ty. 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 2h)kjq9wn;y ap 84t gnfigure. 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 c 6p. 1vu60qcdlvf6hybxc/l0x/ m oy8uorners of a 10 cm square as shown. What would b/qu6 l8v0lxhm/u0v1x6c.cd fypb 6 y oe the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in pl2 1mah i3nsy:+nn.k6hjf7aumv 1 )*kyldzee4 ace 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 of the el.h:eha6*n nmm+jfk nz2k1i sl )u4yv1yda 3e7ectric field from the given charges?

  16.33 Given the configuration of thrfcqswp-lsp:ioz2p8 eh /p8 h:jmm2 68ee charges, +Q, +Q, and −2Q, which one of the following choices best represents the direction of the electric field c: /mjoqpwips:h82 8 elf2- m86pzhspat the point P and the sign of the electric potential at P from these charges?

  17.43: A semi-circle has radio y(+1tl-mjsi 9g e* xto ys1k*uv5w6cus R, total charge Q, and a charge per unit length s1gw( 9+y*oo *ct6etlkmsvx5-1yj u i given 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?