95.26: Two positive point charges repel each other with force 0.36 N when their s3dv1y+4 m3bhex hnclz p)4,wseparation is h43 ,vnlmw 3sc y41 ez+hxdb)p1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many eli vwr;w2f))c8sady0t bms*l1n s4v,mectrons must be removed from an electrically neutral object to give it a net charga l)vd* m;, mybs1svn)sir80wwtc f4 2e of Q = + 1.00 C ?

  13.15 In a circuit, the flowar+ ogkb,3 bj,a k:o9b 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 of electroa,3o :9rbjo,k+ k bbgans 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 0.50m 8h/6dballx 3u hts)zq6u4(lk apart. The electric force that one particle exerts on the other has a magnitude of 3.00 Nsdlthl uxq8 l46k6)h (bua/ 3z. Which one of the following choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced bya2:2: m *h,n.v m4mi.vqsobwv avgow6 a distance R, what is the ratio of the gravitat v6mo.2in amwq*:,s.avbo :4vhvmw2g ional force 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 mass M b ) fibfyl3o(kkg( t4v+eing placedk (kvty)(fb3+4 filgo 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 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 a sij(r+ d)0zg*-os. ha rac;wpatring 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 caarjc)apw.-sdz( ; +0rig*oh onstant angle q with the vertical. What is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q is connected w rnyeh7zw v4z8: x27 unti:l*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 thexz4elw:ivyu7 7nw 8 z2r n:t*h mass?

  13.29 Two electrons enter a region between charged capacxl,z3 3yoc e2r;qq-gr v,w2sritor plates with equal sp-wq vcy qro2z xs;r ,32lgr,3eeed 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 F on a negativ m.i25y/emksb4 /z ethnnf3 +x ide:v1e 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 ev/e zk f53 h 1./:ditbnyn+i2 x4smmepositive point charge exerts on the negative point charge?

  98.08: When two charged point-like objeglp9v60*cz sg cts are separated by a distance R, the force bet*glz9s6pgvc 0 ween them is F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical poinc2.yas w6k4pa+n:u xvt charges Q, separated by a distance produce an electrical force ofF on one another. If the distance is decreased to a diyw62xakp : snva+4uc .stance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q is placed midway between two point ch77uf2asasb- df6nz 5targes +3q and -q separated by a distance 2d-tz fu asas2 n7b5df67. If 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 negativv g.v)1fdiv(p n-4omcq 3f2 ygzd1vc+ e point charge of -q are separated by a distance d. What would be the magnitude of the iv2pcv+ vqocn d1fz.g1g ym( d-3v4f)electric field midway between the two charges?

  08.33: Two point charges are fixe6;b8 xwhjf**k0qqztxnz s p55d on the x-axis inotherwise empty space as shownh xk *n8*pj swzt550q;zq6bxf 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 chargesb: 7 n86t2dunqh .cxth w;j6c-xjy of- are fixed on the x-axis in otherwise empty space as shown below. ;h:xdn8y tjhwo6-nc 7 ub.-2xj6tqfc
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 accompany *3q,qz1,aupd2 ozwazing diagram. At which of the labeled points is the fiauwq*,z1oq d3 zp ,z2aeld most nearly zero?

  98.30: Four positive point charges are arranged as shoh9vkk ,qek/r /0 .pajiwn in the accompanying 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. The magnitude of the ti.r //kve 9qpka0jk, hotal force on charge 3 is most nearly

  94.08: A point charge of +4.0 μC is placed on the negative x- jhl: (8anc fr-f(r2qzaxis 0.20 m to the left of the origin, as shown in the accompanying figure. A second poin(:c(fzj-hrfalr n2q 8t 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 p xws)f1kyd)u4- d:gku otential 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 acc))gxydkf:ku4- w u1sdompanying 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 chargnxs f3cql;y.wt k4h,r k9seo-(mj. y,es are arranged on the corners of a 10 cm square as shown. Wha ko.he9wx 3 qck-m,fr, sslyj4tn ;.(yt 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 on the x-axis,u/t -ch.f /f 3dz.kgni 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 direction of the electric field from the give/. .uhi/n3tfd- zgcfk n charges?

  16.33 Given the configuration of three charges, +Q, +Q,-prlvk o.c*x w:ip s6dta/ hu*y jo2(z hj56t2 and −2Q, which one of the following choices best repjd * ph/ a(tjv:k2os*2zuh ycl xp6wr-o it6.5resents 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 lengt /xufg0kwg6,o (:r mbeh gguw0: xmg,bf oe 6k/r(iven 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?