95.26: Two positive point charges repel bf4ziy 0 jho5j/) wox.each other with force 0.36 N when their separation is 1.5 m. What force do they exert onjw b0 5yix)zfo. h/4jo each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an elecnxd(tngxtmk vc1)97 9trically neutral object to give it a net chg7t d)t9m 1(kxvxn9cn arge of Q = + 1.00 C ?

  13.15 In a circuit, the flowxb0eoeu52v2i a)cccy ;qy,.q 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 ; vc)c0a2.be5yeyiqcu q2x, o during this time?

  13.07: Two identical particles are fixed in place a distance of 0.6i2xx3*uwbz ci az0n2ab3 /yx50mapart. The electric force 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?3zi x0b*/ 22 i6n aaxbxyuwcz3

  07.25: If two protons a ddoj6(fha om:rfn;ao+(1 i8e8: eb nere spaced by a distance R, what is the ratio of the gravitational force tha(dne(i n;ar m6+eo8ob: a1o8f e:jdhft 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 proto-.x ue)sax6kd t6 nna5(lsp)mn 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 th5xes nu6l6d)xkp n. a-( sa)mte 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 atta08ndfw4i bs :+qn(qlv. uvm.fched to one end of a strinnd8mnvq.(iqf uv:4sbl.wf0 + g 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 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 char,qgkq+ 18z7n) krak lege Q is connected to an insulating massless string in a vacuum on Earth. A uniform electric field exists throughout the region ,7q+k 8k1la gkqn )rezof 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 e0*.s -p wron(9rreqctnter a region between charged capacitor plates with equal speed v. Electron A is directed horizontally to the left while electron B is dirs -.0q ncrp9*otw(re rected 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 exert3cqgw08 zq4ro8 hw qe-s a force of magnitude F on a negative point charge placed a distance x away. If the distance betwee- h4rzo0w8g 8w3eqqq cn 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 oes2 6/78s hxzmn ih jd:f0gfg7bjects are separated by a distance R, the force g:2xd ehs ni8 jms0fz7g7/6f hbetween them is F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical poi(p hi4ig-(ooynt charges Q, separated by a distance produce-h(g io(p 4iyo an electrical force ofF 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 -q06vlrtf4s)bl)kk g lwn-0a rk3;jm z0 separated by -0 )jnt k0zl slv 3 r4gkr)l;6f0bwmkaa distance 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 negrs5qg mm4 4jt(6hh3g gative point charge of -q are separated by tm jhgm 4(5sh3gg qr64a 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 5d h+* rgsqkk;x-axis inotherwise empty space as shown belowg*kh5k + ;sqrd.
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 8mk(zh t.5dci be 0dv6are fixed on the x-axis in otherwise empty space as shown beezdi8hbk 6.c0dt m5(v low.
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 diagrbgk uwa+y8f90f( oux.7w hj w,am. At w.8j9x f0ugbw7f+ w (ouwy,ka hhich of the labeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown ;j mqx sm/z+wzic), k-jb38 dxin the accompanying diagram. The force between charges 1 and 3 is 6.0 N; the force /z, j;ixdkmj+w bq-zcx38ms)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 +4.0 μttx dk( a/z:xy47 rh3zC 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 origin. Thth /a(7z d:yk txzr43xe net electric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infi.wi jaxqug)wveyd * ja:v1:13nity. 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 t.)u qge :wawy1v:ivj3*x 1jadhe 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 a9ik j5p4:5cgh:smjh( wwj 9wx uq .k, 2sne3csrranged on the corners of a 10 cm square as shown. What would be the direction of the resulting elc39kk( sw4si5 9m2 w5 wxcjj :g,jehps:u h.nqectric
field at the center point P?

  14.10: Two charges −Q and +Q,3nl+w)bt.rrao aj 3i tdbh8 3s+e+ff6 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 from the origin, what is the direction of the electric field8 bj.3oeatw rf++sf )6a ni l3th+rb3d from the given charges?

  16.33 Given the configuration of three charges, +Q, +h 1ifh vja.3xq6a+lc( Q, and −2Q, which one of the following choices best represents the direction of the electric field at the point P a+j13v6 i .ahxlfh(c qand the sign of the electric potential at P from these charges?

  17.43: A semi-circle has radius R, a 51uh 8dcj /ol eu/,p,2zfswhtotal charge Q, and a charge per unit lengt,fj, u2h1 o/ cda5 zlwp/sue8hh 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?