95.26: Two positive point charges repel each other with forcb- xbr,(5jh*m(gy6 -lxhrv yzo 8a6gm ui30 sye 0.36 N when their separation is 1.5 m. What force do they exert on each other when their separation r(og ( bj3a*6x, sv8-gzhu -m5y ry6yhi m0lxbis 1.0 m?

  12.13 Approximately ho) nioa( v4/7uta +ah*d/ps hnow many electrons must be removed from an electrically neutral object to gi +*h4sa/ uta/nn o7dho(v )piave it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electronuy,9wq gyaj629fq k /ms in a horizontal wire produces a constant current of 3.20 A kwy6aj9/gm q2fy9 ,qufor a 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 particles are fixed in place a dis9jy uta8l6xb, tance of 0.50mapart. The ,8 jt 6x9buylaelectric force that one particle 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 aramwcg*lpq5 qku 14k/3 e spaced by a distance R, what is the ratio of the gravitational forceqlgm pc 41w 3*5q/kauk 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 exphk o tvdi(me7p n,03,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 rest and begin to move. From the scientist 0,v 37k d(di,meopnth’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 we,0ur+y v t li7 +qaz64vzf3sjgight 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 vl ts+zj +gy 6vqfru4i ,z03a7q with the vertical. What is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q iz/p/rh7l y sr58z0loa90sra.d9+vm; ebh jqes 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 /07lseqs.85bd+9 0 mr/azljhrh9y ;vz par oethe illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region between charged capaked,j k l*eg 98.a,xuz ;r+ea 5wx-fumcitor plates with equal spr wxk-zga.; ,ajk5*ue+ue8e l x9 fdm,eed v. Electron A is 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 magnitude 6e)9)cvzntae a+u p8rF 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 pointpe a8v9a)z6n)te +cur charge exerts on the negative point charge?

  98.08: When two charged )or- kn(/xp4wetylha( r,ty1 point-like objects are separated by a distance R, the force between them is F. If the distance between them is quadrupled, the f /rwextpl-y14a( tr, ko )(ynhorce between them is

  03.18: Two identical electrical point charges Q, separated by a distance produce5hqq9k0q v8rld -we c; an electrical force ofF onl-vw k reh0c8q d5;q9q 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 chargesul 80vy qyx)xoe6 /k3m +3q and -q separated by a distance 2d. u6xq) eov/ 3y0kxy8mlIf Coulomb’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 point charge of -q arfeh7imo b7*0ve separated by a distance d.obfe 70vi7m h* 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 inotq.r zw1) dn*n/ coo+urherwise empty space as shownc1qdwn rroz/.n+* u) o 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 space as shokw 908stxljx g+yp kb-xg,6k;wnsk6kwlgx8y- tp kx,9gxb0j+; 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 ar5mhff7snvymgg ,; o r-n0w2g44q: vhzaw,;jh e arranged as shown in the accompanying diagram. At which 04wmhfvhf ;w:;2gn7m hy 4,s-zvn ajgr go,q 5of the labeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accomye 5qh4 7 v.laruzix(:fk cr53panying diagram. The force between charges 1 and 3 ac4:e.z5i xy(hrlq57v fr3k uis 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. The magnitude of the total force on charge 3 is most nearly

  94.08: A point charge gyex2.y8 emxnx0t2rfb+c) d 3of +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 field at 2c3t8n)yer 0 fgdxy+2mx exb.the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point charge of +4.57w5kym;i4 xc0cso ;s3amzoh 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 sk0xcw4 3ayzmmc5i;;h5so 7o 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 thezpt 4* kjb(cg0 corners of a 10 cm square as shown. Whb4c*gpk(jtz 0at would be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed 9na2yb;s b l f-97 si lww8.pn(jfu5dgin place on the x-axis, each a distance a from the origin as shown. At the point fud9 g-w; lnsayb .i8f2bjl5wn9(7splabeled P, a distance along they-axis from the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, whix*l52w/ahjtoc om9 lp,4i-d.yy:m u a ch one of the following choices best represents the direction of the electric field at the point P and the sign of the electric potential at P fo oy*/uala.xlct4 w5i m2-:y,p 9mdjhrom these charges?

  17.43: A semi-circle has radius R, to8ayji(6 rtphit3n 6a8tal charge Q, and a charge per unit length given8y h3 tpj(raii8a6 6tn 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?