95.26: Two positive point charges repel each other with force 0i .vsvwhdv8y/n25p ;v .36 N when their separati58/ yn;vw dsvih2p .vvon is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many 6e8eqruup90xelectrons must be removed from an electrically neutral object to give it a net charge of Q e9 ru0qpxe6 u8= + 1.00 C ?

  13.15 In a circuit, the flow of electro0/tuw qp; f reze4qw uj9/fq33ns 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 tiq0p qtqf94 zurf/33ej;wwe/u me?

  13.07: Two identical partic+vsh,aoureq 4o*dv3 )cs-(dyles are fixed in place a distance of 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N.a-h*,cos dder4( )o su3+yqvv 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 of the gxja tzxq9 ,izi1(hx-0 ( kcbw,g .ne5wyrb/-b ravitational for.x-9 xbz ji5zc,wg i(be ,kyqht0w(x rb/na-1ce 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 upxcr+ uw -4mrn1v-3po rcyw*3m an experiment with a proton 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 choiwo--crp mncwx3 ry uv+3rm 41*ce 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 char0odr)eqs0v90 ro .kjtg kn;wt65 a+n4fjq9z mge q 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 horizontao005 vzr.gw9mrkj0ttsnq +46fk n jqe; o9)ad l 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 cqpbht n) v0k16harge Q is connected to an insulating massles v1 )qkn6pthb0s 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 illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region between charged caeqos /dq b:6 royn(:uci4cp8-igyr5 , pacitor plates with equal speed v8 bc(,::ndpeuri /4gqo -rcio 5syq y6. Electron A 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 charc 7b7.8wxuns v. t,;ychdrvyc4/*m* zn3yr mc ge exerts a force of magnitude F on a negative point charge placed ab s*.ycytcdn;x u, y8.4 v*m3wv7m hcr7nzc/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-lh5), k *cbgzfbov1iqbo-+ 5ipike objects are separated by a distance R, the force between them is F. If boo5*),cbpkf hi1z q+igbv5- the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separat/7o l8 s.n-gdxa4rsvr ;ygl 1med by a distance produce an electrical force ofF on one another. If the xl rr1o/ y7;alv-g dsmgs8 4n.distance is decreased to a distance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +mxru nsa 3z u(p5:;xu.q is placed midway between two point charges +3q and -q separated by a ur3sm;u x.(:p 5uazx ndistance 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 charge of -qse 5koa/ 19bya are separated by a distance d. What would be the magnitude of the eaeoa/skb5y 91 lectric field midway between the two charges?

  08.33: Two point chanpe z;gk)o.stqmj. fc-x2 ,fdnni 486kr 0 i5brges are fixed on the x-axis inotherwise empty space as shown becg0m e fj .4tfi-i2;5qnpdo.nrzn)6 k ks,8bx low.
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 space a6z k 6kkn,* o)k8rznpss shown belos8 )p6kkkok z,*6nrznw.
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 arrang:ujej -2x-5* naa,scp( s0o d uc+wstaed as shown in the accompanying diagram. At which of the labeled points is the fieldaau (j-0tjs+c- ao,usw:5ne2dc px *s most nearly zero?

  98.30: Four positive point charges are arranged as shown iikl78o1q,a atn 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. ,ka18qtlia7o0 N. The magnitude of the total force on charge 3 is most nearly

  94.08: A point charge of +4.0 μC is plan7mx k(3e ain si2/3 ixzyc9x:e6k s*cced 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-az3x7csysn:a m93e/x6i eikc n*(ix k2xis 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 potent+i9(fuysnh4 (g.f vcs t9h4wfial 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 point charge q is placed on the positive x-axis 0.30 m to the right of the oritfg (v 9s(49u+hw c.f yfh4snigin. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges arrrfm(j7+5higdk)ril wn1l / /e arranged on the corners of a 10 cm square as shown. What would be the direction of the resulting e/ g1mwl57f (d nij+likhrrr/)lectric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on themp 0+0ww-eemvxk r5zvwu+ o- ; x-axis, each a distance a from the origin as shown. At the point labeled P, a distance along they-axis fromrpv -km +0 eeum0zvw-;o5x+ww the origin, what is the direction of the electric field from the given charges?

  16.33 Given the conf5x ue1 zh7dujee ll8+0iguration of three charges, +Q, +Q, and −2Q, which one of the following choices best represents the direction of the +dlz7 10hlu ue 8jexe5electric field at the point P and the sign of the electric potential at P from these charges?

  17.43: A semi-circle hasag)i, .lyv bpa8nif9. radius R, total charge Q, and a charge per unit length given as 8 9fybvgl ,i..)npa ai$λ=λ_0cosθ$ 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?