95.26: Two positive point charges repel each other with force 0.36 N whenkedr4oxx7a 7f5n9)k q their separatio7x 94eoqkad)f7x k 5rnn is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an electricahbh/q:)6 uq/y*gpe* oht lzv,lly neutral object to give it a net cha b*hgol/quh6z *pe:vhq/t ),y rge of Q = + 1.00 C ?

  13.15 In a circuit, dsh19 qopxcl/v; 2od: the flow of electrons in a horizontal wire produces a constant current of 3.20 A for a time of 3.0 hourv9dhp /qoo:d xc1 l;2s. Which one 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 of 0.50mapart. Tw+* ,jan 4jihkhe electric force that one particle exe4n ,*khjajw +irts 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?

  07.25: If two protons are spaced by a distance a ia mr78.a n-y2 3www*cw18i*kn nzvxR, what is the ratio of the gravitational for32x1nam8.8a k7 wi w*y nnrc-iza wv*wce 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 mk:pe tb7-:v s 7yo1ieyw.0s bqass 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. Frokbo0 siytpy w7:e-vq.e:s17 b m 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 acceleration? Ignore gravity.

  94.39: A small object with charge q and weight mg is attached to one end of jcczfg: m vwjm -q2m*- k.(+jri*2 nhaa string of length L. The other end is attached to a stationary support. The system is placed in a uniform horizontal ele- (m*q+:wji kfvz*hjc rg. nm2-mjc a2ctric 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 mij. sec+49qz wgi 2vz)ass 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 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 t4zzj)i 9vcsi gwe2. q+he mass?

  13.29 Two electrons enter a region between charged cap6wqxh6 q6bjm/gxd x 9w4r6 c5uacitor plates with equal speed v. Electron A is5 6xm qxcwbdur6xhg /4j6w96q 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 charge exerts a force of magnituh,0 86tjkwkj(/it btc) quc.y,wt .ukde F on a negative point charge placed a distance x away. If the distance between the two point charges is halved, what is the magnitud jk hc0t(.).tjyq8, tu/,bcku 6wktiwe of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects ar0kx gfjc6vw/ ;)kh 6ide separated by a distance R, the force between themx6dfv j)k;wik/0 cgh6 is F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated 0.4cfdbptv4 x j9a rd1by a distance produce an electrical force otx0. 1 avfbrd9pjc4 d4fF 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 s6w/(hplg+ 6we i2qqaceparated by a distance 2d. If Coulomb’s constant is (q/ wcli+ap6 gh6w e2qk, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a negative point charge of -/qbcnd1j;wkb .98 9n)fljjp vq are separated by a distance d. What would be the magni .d9fnbn j91;vp 8lbk/ jcqj)wtude of the electric field midway between the two charges?

  08.33: Two point charges are fixi c(,8zhs : qf8pwjl*bzt3y(jb 0hbg9ed on the x-axis inotherwise empty space as shown belowi ,th l(py h:*z 9cb8gzfbsjj3w0q8b( .
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 spa03frghlmfmh(7zp 2j1 ce as shownmrpm2 lj3 fh07hgzf(1 below.
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 accompamgrbzu6*8-8 a 2 *eyju qbb+kgnab1+k nying diagram. At which of the lau+r+jbkkn** b2mg ygbeb1u8 8a a6z-qbeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompanyispi7 ,d8 ayzdo bh:m1wr+-*4 jhs3k fong diagram. The force between charges 1 and 3 is 6.0 N; the fow d7-h bs,p 4im8+o*r31z johsak :dyfrce 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 +cynmn9)vwaeon56 6j +4.0 μC 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. The net electric fiawv)con 6 +5n9 m6yjeneld at the origin is zero. What is q?

  95.36: Assume the electric potential is zfzb3+/ bn,x +g zegp;uero 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 seconzu +z /+3e;,gpbxbgnfd 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 corners of a 10 cm squarl9iu+pxbbo 4y ovj/2* e as shown. What would be the direction of the resulting elebj2y9vu* boo4 ilxp+/ctric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the 15ofp s06 86 r z-gxxweshfp:ax-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 dir s5 z 8 sgpxxpafof6hwr06e:-1ection of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −wy7dj .ot6hq- 2Q, which one of the following choic 6jtw7q dy-.hoes best represents 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 a charge per unit leni+(h ip 0zg,bzgth given as0(,pgb+i izzh $λ=λ_0cosθ$ 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?