95.26: Two positive point charges repe sm.,j0 lgts f:0u8revrqo*7yxi3m l5l each other with force 0.36 N when their separation is 1.5 m. What force do they exert on fy,rv3mt em u.r7l*jxs08 oqg:i05 sleach other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an elhwgk4 q5o/ :zdectrically neutral object to give it a5g :/h4wdqokz net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow r+kw3lc0 3wgy of electrons in a horizontal wire produces a constant current of 3.20 A for a time of ywr+ 3lw0g3kc3.0 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 particles are fixed in place a distance of i5e c)ittqf+y7-ki +j uv3xs. 0.50mapart. The electric force that one particle exerts on the other has a magt i.keu+5 xc3j-fsy )i+tvq i7nitude 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 rat+8a v 0v) nz)*lisdrrpio of the gravitational force thatrsa*ilnvd v r)0 zp)8+ 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 wi wh /2louc*fw u1916tszuv2leth a proton of charge Q and mass M being placed near a helium nucleus (2 protons and 2 neutrons) of charge +2Q and mass 42uslht 16 2f9/*vlw1 wuuz ceoM. The objects are each released from rest 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 with charge q and weight mg is attached ti k,w x7-9jgcco one end of a string of length L. The other end is attached to a stationary supporxwc-cij 7, g9kt. 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 sign and magnitude of q?

  09.38: A small object of mass M an) -9stlwham2 qnm2*pzd 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 staticmatp 29 2 *zwmhlns)-q 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 rejhcd4w-au ew/3 +3zw jgion between charged capacitor plates with equal speed v. Electron A is directed horizontally to the left while electron B- w4hc/3j weudw z+3ja 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 exerty v-0y k:b6ybns a force of magnitude F on a negative point charge placed a 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 neg6:b0k-ynby v yative point charge?

  98.08: When two charged point-like objects are separated by a distance zsgo(y m z+a)9R, the force between them is (ygs+)z9mzo a F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distance pr x/h llvi437gysk6d ,koduce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, wkhgv ,/3lk i74x6d ylshat is the strength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges +3q +p+ mc-za6v noand -q separated by a distance 2d. If Coulomb’s constant ic6-pamon z ++vs k, the magnitude of the force on the charge +q is:

  01.31: A positive point charcqihgc hi0 : t+59iq ov).ga7wge of +q and a negative point charge of -q are separated by a distance d. Wcqtaq .+hw:hv9)oi g7gic05ihat 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 empty space audwcw llv,nyph3l*w +*gc/) ,s shown b *g,wl/*,hvu pcclwnwld)y+3 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 folhw,fw/in ,m* wslf k ,v)gh)u);2 bzixed on the x-axis in otherwise empty space as showfi);govlw fl bh,,zw) m,*n)h2ks w/u n 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 u: i1bsuq r.g9the accompanying diagram. At gqu bir :1s9.uwhich of the labeled points is the field most nearly zero?

  98.30: Four positive poin+cqwyp.a k q7y nhr2tvi+/s6;t charges are arranged as shown in the accompanying diagram. The force between charges 1 and 3 is 6.0 N; the force betw t hc/sy+awiq 6;7knqv2+ryp.een 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, kc75e5 bdt5/aq zsx,*nkxor of +4.0 μC is placed on the negative x-axis 0.20 m to the left of the origin, as shown in the accompanying fig ,/qeoxxksz,55k5 ac7n*tbrdure. 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 potential is zero at infinity. A point charge of 1 3 1nryio3w xkm+8g3hqc-h zi+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 +cxq1i -hro 1 mnzkh8wi3yg 33positive 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 t)z :uhmekpx;.pxj1 o udc8+-qhe corners of a 10 cm square as shown. What would be the direction of the resultj8 -pu mh e:cxk.+o1;zx) dqpuing electric
field at the center point P?

  14.10: Two charges −Q and +Q, a.2 vy7f5 g/mz i4wv6lsv l2brzre fixed in 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, w2 l.vvivg5/mzfsb 7r zy264wlhat is the direction of the electric field from the given charges?

  16.33 Given the configuration of three h.),+nbmh t u(enfxafz;x0 v: 0nrk0lcharges, +Q, +Q, and −2Q, which one of the following choices best represents the direction of the electr)00fuz:eb . k,+ xmnnharv(lnt x0 ;hfic 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, cnbefn:.*t q43uz b :mtotal charge Q, and a charge per unit length given as m f *.bncu :ntzq:e3b4$λ=λ_0cosθ$ 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?