95.26: Two positive point charges repel each oth7)rd/6x2uxb a w lylr(er with force 0.36 N when their sx 2 blrd7uy a6xl/w(r)eparation is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how manylbo.c4 ,z(o*yyex,pm electrons must be removed from an electrically neutral object to give i*me , y4xl,ooybp zc(.t a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of t5cv9jsp hh.m6 ( mu4jhen+s2 electrons in a horizontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which onjv. jsnum(+6ht 4hs52 9pecmh e of the following choices best represents the number of electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in place a distance o(*tn8 o3rqvfw f 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which one of the followinon3 *f(rv8wtqg choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by a distani td v65qej*- +uf;gkuce R, what is the ratio of the gravitational force that onefe 5vdik* qt;j6-uug+
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 prowhv4qhp0-)r cton 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 scienti)hpc hq40-v rwst’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 charrjb:ilw-u u 3.ge 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 horizontal electric field E, as shownu.l b-r:3uj wi 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 con3bjvex95d8 w )tfj, eznected to an insulating massless string in a vacuum on Earth. A uniform electric field v9)wee,fjtzd5x 83jb 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 capacitor plathc71;nllvfyhe ho6 /2 yllp,:es with equal speed v. Electron A is he2ly; o llflvp:16/hn ,c7yhdirected 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 oe1h2t.1m acpf n a negative point charge placed a distance x away. If the distance between the two point charges 1ctp. h1m2feais 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 separa8 m4kpe4bo94cozsdw 09fajr+ ted by a distance R, the force between them is F. If the dis44df ra9sbo9+pczmjw0o4 k 8etance between them is quadrupled, the force between them is

  03.18: Two identical vua+l2 jukg; 2electrical point charges Q, separated by a distance produce an ele2v ka j;2u+gluctrical 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 p 4g3l0ipeu:x zlaced midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnit 0ge3 ulzx:i4pude of the force on the charge +q is:

  01.31: A positive point charge of +q q(k*xhh 43luf)y/b raand a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric fh )*x/(uby3fklhr a4 qield midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty space as shokj q6* bbswa;bp f7p*4wnpw*abbbp4s f;7q k6j* below.
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 fixedvd, m99wmnqe4 on the x-axis in otherwise empty space as shown below4 m9w,qvm9ed n.
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 arrangeg+j *3yoxdefx n/ q ;e1-+kykld as shown in the accompanying diagram. At which o on;l/ eg++d *xk3e-qy1fkxyj f the labeled points is the field most nearly zero?

  98.30: Four positive poid704tn3vymmicg o;q4 nt 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 Nomgmq74v ;d4n 03iyc t; 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 negativpoo-al2xp 5: /l7zzhoe x-axis 0.20 m to the left of the origin, as shown in the accxao7l/l2ozh 5o:- p pzompanying 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)+sk wunn :w2h 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 point charge q is placed on the positive x-axis 0.30 m to the right of the origin. The net eu knw:s+)wh2n lectric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are arranged on the --bpx(moo+ qq o t2kwh g-2an,corners of a 10 cm square as shown. Whatm -oq2q +a-bkph2o no(-wtg,x would be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed inbfch:1 (/av+x dw/hqo 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 :c/+ /w(vqh hf xd1abofield from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, which o vl gkgx0i fg,,,-5*zgxgdq7dne of the following choices best represents the direction of the electric field at the point P and the sign of the ele57dqdg *, fgvgzlix,gg, kx0-ctric potential at P from these charges?

  17.43: A semi-circle has uh;za vpd/e:+w :j5v hradius R, total charge Q, and a charge per unit length given as uhve ;: a/h+dvpzw j5:$λ=λ_0cosθ$ 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?