95.26: Two positive point charges repel each other wi7t2 s (m6/tywvpks qvm9u0yp;ft32l n th force 0.36 N when their separation i;my2n/6tu09tvmk v7 t 3qfls 2(ppswys 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many eli9zi v:p2 yj.tectrons must be removed from an electrically neutral object :tzi9.pj 2y vito give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow o t9l pq t31(yqc3:ph)bl.xfdpf 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 txqpltp3d:cf pq9.t13ylhb ( )ime?

  13.07: Two identical particles are fixed in place a da45:xc9fcl lx dab: 3jistance of 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which one of the following choicef 5la 439b:lacx x:jdcs best represents the magnitude of each particle’s charge?

  07.25: If two protonspys(seuk 7bj-5g b(n8gfuic8/ d i 2b: are spaced by a distance R, what is the ratio of the gravitational force that one 8u s7f (s2 jn kuc:ydi (-8bbi5g/egpb
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 mass2gdk zk y7tuih5 8mzxxq6w ;-l. .7dfu 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 magnitude of accelerax;mkz df.wx 2 5zdu87.ti67 huql-ky gtion? Ignore gravity.

  94.39: A small object with charge qht,ha * z 3e9fvpj-l*m and weight mg is attached 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 presence of the field, the string makes a constant angle q with the verticp3*lv ht9-*jfazm,h e al. What is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q is connect30za61vk82 mba4uo xq mws9zwed 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 figu 2mb6wowmqu94v013 zx a sz8kare. When the string is cut, which of the illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons ente n6 iv;ov)9wmjr a region between charged capacitor plates with equal speed v. Electron A is directed horizontally to the leftvw6n ij9;mo) v 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 forcetr/h ) ,opo/jpssizv /(s6,x t of magnitude F on a negative point charge placed a distance x away. I o p/p,i(h/ xt,v)s/6otsz rjsf 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-like objects are separated by a distan0yfqzf5 k1 ir:+3skc0u zr1jnce R, the force between them is F. If the distance between them is quadrknyqzk 5cs0 i0+r:z1ffr1u3 jupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a disy6 8b - gr+cpkjexg .cd98hcb-tance produce axje+g ryd6c b98 -c.pbhgc-8kn 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 bpbw iu8,,csk3 l e-qk-etween two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge pl-u kq3 iew,b-k 8,cs+q is:

  01.31: A positive point charge of +q and a negative point charge o ufo y6tnr0z- p,-a mue *ije68eo+ld+f -q are separated by a distance mrt o-*uaeefp,oez+l6in- 06y8u d j+ d. What would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixvderd(zvm/1 hqo)/4 jed on the x-axis inotherwise empty space as shown be4o//d mv)v qjz1edh( rlow.
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 fo dxsrw5ltsl 98-n)i15fw 0bmbrv5: qixed on the x-axis in otherwise empty space as shown below.9o rfrlx18b qs -wvd5:t )iwsm5n0lb 5
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 (+f zecxh92tjin the accompanying diagram. At whiczfet(jx2 ch9 +h of the labeled points is the field most nearly zero?

  98.30: Four positive 7o:9wnjkf;g e point 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 and 3 is 5.0 N; and the force between charges 3 and 4 is 3.0 N. The mjg: 9w n7fok;eagnitude of the total force on charge 3 is most nearly

  94.08: A point chargl rwrqcxcq4k3p8(1h 8e of +4.0 μC is placed on the negative x-axis 0.20 m to the left of the origin, as shown in the acp88hc3 qk(qwr rc 14xlcompanying 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 at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point charge of +4p, 6 w eiyzm5gyxhc- (ru/febh07ks9 4.0μC is placed on the negative x-axphy , r0e7e/4u yzfx-ih(9 gsk6m5bwcis 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 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 a ao.lnw 2 nh,baf,99iarranged on the corners of a 10 cm square as shown. What would be the direction of the resulting eleca,wfann2 hl abo9.i9 ,tric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the x-axe3zxg0wa-4); q irk hlis, each a distance a from the origin as shown. At the poi;hxq- )gk3e0ia4 wlzrnt 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 ch38tq 3f-*eq 8jeti1mwv7c xd. zku+on arges, +Q, +Q, and −2Q, which one of the following choices best representd v8 *ztu78c3 - kiex.w1mten fqo+j3qs the direction of the electric 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 s((y i8 sxi1a:ne x)6nnse:rn a charge per unit length n6i8 n1x e(ansix: sney:)s(rgiven 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?