95.26: Two positive point charges repelx/i 6rp- a(bqq0c 2t c30(xspwzz unz6u9)hhd each other with force 0.36 N when their separation is 1.5 m. What force do theyiznza63cx) u2 hpz x0q -btr9 s(p(/w0uqc d6h exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be remoj8g5b9 ,y 8n)au vsvaoved from an electrically neutral object to 98un)avavybs8o 5j g,give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the-klptulge *,p-0*upc flow of electrons in a horizontal wire produces a constant current of 3.20 A for a -gkt - *p0upcel,pl*u 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 time?

  13.07: Two identical particlh3hdahg2/bga i)so :h t13pb j8s3va* es are fixed in place a distance of 0.50mapart. The electric force that one particle sjg*3hhahaso p8bt3)da31/:h 2vgbi exerts 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 R, what is the ratio of td6 zg 5axcxrgd1-g2i0)mm8 u (ivfq7nhe gravitational force thatvggx 61- 5m2 (uacq7zi0fr 8nmd)dgi x 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 exp*kde m5c mg:/deriment 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 restg m5d :cd/emk* 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 acceleration? Ignore gravity.

  94.39: A small object q xwt.p5-ftwtx f l3nvw;tgq *4;v5c4 with 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, 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 si* x.4tv5flw5t np cqt;4v-f3g wx q;wtgn and magnitude of q?

  09.38: A small object of mass M and charge Q is connected t5p s4slh b /lqz7 wvgt;hc()/iw; lzk(o an insulating massless string in a vacuum on Earth. A uniform electric field exists throughout the region of the vacuum as indicai c(hwlw4)z;bt(; qssv//gz k 5lhpl7ted. 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 dp iuw k(u5i)(2wrt fm*1h(tu plates with equal speed v. Electron A is directed horizontally 1fth wp5*k(u(ir ()itumdw2u 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 on a negat 3fjfmt-auz;o:i r2x) ive point charge placed a distance x away. If the distance between the two point charges is halved, what is the magnitudtfixo3r; a-j 2f:m)z ue of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects a fl58+qyo*nqk/b( ulmeedu ry6/60wgre separated by a distance R, the force between them is F. If the distance between them is quadrupu e y80keg/w+m/*o6(lunrqf blqdy 56led, the force between them is

  03.18: Two identical electrical pp:cpm1cu ik2k0l t. )njd3gx1n8b4fioint charges Q, separated by a distance produce an electrical force ofF on one another. If tgd.i l3)b1 0 82jkm ptick4 n:cf1pnxuhe 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 t4 zef0wn;5lbh:4mg( j q(rlx midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force j l4z nh(4:fw qbr (te5;mxg0lon the charge +q is:

  01.31: A positive point charge of +q and tc hp06b,ow.d s /kif.:ow9 uya negative point charge of -q are separatebkuww/yc o oi.sd.6hpt9 :0f, d by a distance d. What would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise ec t,m -s6sig,xmpty space as shown gc,-,it x6sms 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 fixed on the x-axis in otherwise empty mo+,)nvm: bsh3k,(ma8 :on e+ nsakpjspace as shown b:bv snkmn 8kp,+emj3shm:(,oana+)o elow.
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 accompj vy0rt,x my+cb .i(-zanying diagram. At whichxy(-c, v.mz+t b iy0jr of the labeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accok0vzxq2*vyp 3 il zbe91p7u1+leej.7b+pi d dmpanying diagram. The force between charges 1 and 3 is 6.0 N; the forcev*bqbel i 1d v1+d72uxjp9.zz7e0yp3p+ e lik 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 +4.0 μC is placed on the negativedk/ops;309,lbgj p ywe2fc - f x-axis 0.20 m to the left of the origin, as shoo0pb;f/,dw c9y gsje23lpkf -wn 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 origin is zero. What is q?

  95.36: Assume the electr.n4hb kq67(: y vt9sjqppzn z9ic 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 ne4p (z7h:p9kqbzst9v.q ny j6n t 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 /.yq4l,c+*vk)izc : js xrhig 10 cm square as shown. Whatyj x)i zk*l+gvr:4,.ccsihq/ would be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place onn .+qabpy0d e81, tc,iva ex4z 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 ti.n xbc1y q4edaz, ept+8,v a0he direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, which oneo l-f25 ouyf3q.itj x3 of the following choices best represents the direction of the el5qiyfxjo3l .t 32fu o-ectric 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, ppq 7ju. y62(ou7pmpdu/xzlvnd42r 4and a charge per unit length y7 l2umxunj/(dvp.6p 4pz qdup o72r4 given 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?