95.26: Two positive point charges repel each p/triu,j:q +y other with force 0.36 N when their separation is 1.5 m. What force do they exert on eaj/+urtq:p i ,ych other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an elea8nxw9kz 3lgj,c+ n +rctrically neutral objectrnc 3znwl+9+k, jg ax8 to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flowhvsrht5*b/9a*k -( rg n,hs gh8b(vx n 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 9(h/8*hvrtg5*hb h-k n(rgan bxsv, sof electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in place a distance9p1m j)y:aa4 k*z5x5lddhpg 8bo 8szu of 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which one of the folm8x1d*oa59p h5j:s8l) apy u kbdgzz4 lowing choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by a distance R, what is the ratiy4fe;c b,*xc dosm7g2o of the gravitational force4osd 2*xbgmf,y;e7cc 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 w-q iq2 (u(;g0ssxy5oygra3x 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 choice best describeyg iqsqyos x 2g(ur3-;5 xa0w(s 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 f5 ,kvxq2.ra swith charge 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,f,v.xqks r a52 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 ux9 v g7p3by( g(s* umf7kd.uiz/c:oj 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. 3p.g7kuo s*dzuij(b / 9yg :vxm uc7(fThe 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 plates with eq fru369o0zxoe ilw wv.4-v x9fual speed v. Electron A is directix wfrx06.ef9vz4lu39wo-oved 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 magw ek:g)3l6ixnh9e,n:y k7jkinitude F on a negative point charge placed a distance x away. If the distance between the two point charges i:njxg3ii nke 7kl ew,h9 :)6yks halved, what is the magnitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charg 0w 38k1wyhkcked point-like objects are separated by a distance R, the force between them is F. If the distance between them is quadrupled, the force between them isk0w13ky kh8c w

  03.18: Two identical electrical point charges Q, bqq ;jcls4z+zpb7d18d s: npmg7 y6;jseparated by a distance produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, whatd8+qspzd47 qlm6 ;b1czg bp7j sj; y:n is the strength of
the resulting force?

  96.34: A point charge +q is placed +7fguzf*g.pmh3 sn k6midway between two point charges +3q and -q separated by a distance 2d. If Cosm ugk h.3*7g zpfn+6fulomb’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 poink mo6w i2lgr* -)7xiznt charge of -q are separated by a distance d. What would be t m l)*wrkngzxioi 26-7he magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on thetea351- ih,,ykdka qyh+a yk3 x-axis inotherwise empty space as shown bkeyt3aq-ha, +dy1 yia k3k,5h elow.
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 fix+oc;o/dgu 3hr ed on the x-axis in otherwise empty space as shown 3h+u oocd/g;rbelow.
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 +Qnavri*-;(lq mx 9l - v6ejx:jj and –4Q are arranged as shown in the accompanying diagram. At whichxm6:el- rjql *j-xnj9a (; ivv of the labeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompanb ju .gj +r91)9nbdnmgying 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. T+1dn j.)gu jb 9r9bngmhe magnitude of the total force on charge 3 is most nearly

  94.08: A point charge of +4.0 μCbp.idmyef02, eb+: s9zjz* hc 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 field at the o .+9mz *zp,sy2bb hf0eid :cejrigin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point char:dccuz9n rx*7 ge of +4.0μC i dc7c x9:zur*ns 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 electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are ary uumpqv;04 i5ranged on the corners of a 10 cm square as shown. What yvqmiu 4p; 05uwould be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the x-axis, each a distan;b u yrq9*sgw jm o6dors:*d)9ce 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 field froj b6s9 *y*rd9go rwomu:s)d;qm the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, wo;n-g23hg5ysu0 ou3syfp5 qr hich one of the following choices best reprey5su5- 30nqps;3 ryogh2fuogsents 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 chargep:y.zf qvlh,6e q,1na per unit length give1 lh,.z pfaqn,6y: vqen 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?