95.26: Two positive point charges repel each other with forceqyh., (4ee8q2ja3wgjmltf j2 0.36 N when their separation is 1.5 m. What force do they el w2(3e4 tgq.m jyf2j8eh aqj,xert on each other when their separation is 1.0 m?

  12.13 Approximately how mae(v ;: 6z 07+l es vdxq2xytku9ev;acony electrons must be removed from an electrically neutral object k2 ct l yx;u+vo7(;e906zxq eavd:ve sto give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow oitv,(.jr ik8 *ijxr7 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 electrons that pass through a vertical cross-jrt.7 ir8x(o,jiivk * section of the wire during this time?

  13.07: Two identical particj (rf6pslw2/1xt g(trh4hj7c+dk w -eles are fixed in place a distance of 0.50mapart. The electric 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 particletpf(41s/ -c+h2txedjkjrw(lh wrg67’s charge?

  07.25: If two protons are spaced by a distance R, w43kufy1jo/g phat is the ratio of the gravitational 1f3jp 4yguk/o 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 2 i;/ z 45rgxpgpwcqv*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, whic xqpz*/2;g 4pvg wr5ich 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 .gg kv1 dpdg*p +f /cpgrm02;zweight 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 z.+ 1k/pg;vdgc0*fdg2 mr pgpstring 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 charge Q is connected 9x + eeaq6fbp8to 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 ill+ 9qef xba8pe6ustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region between charo;:hyx6 a ; aklzf0j*lqgrs ./ged capacitor plates with equal speed v. Electron A i axq. sl0lrokf*;g;/z6 :ajhys 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 poirhtblw*.jpc s ;-o rjn/l. n14nt charge exerts 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 postlspj; h/rjn -1 .rlo4nc.*b witive point charge exerts on the negative point charge?

  98.08: When two charged point-like object +z c 7zezaig(,,lalbfem;5zfb4xl0/s are separated by a distance R, the force between them is F. If the distance between them is quadrupled, the forc4bzlec7flzl aae 0z; ,(5f,+mzx gb /ie between them is

  03.18: Two identical electrical point charges Q, m7i7fw ft/v- v:cnc3aseparated by a distance produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, what is the strength oa- tn vff 37v7i/:wccmf
the resulting force?

  96.34: A point charge +q is placed midwakj;s/*be bwoe4i6 lhva o90 w5y between two point charges +3q and -q separated by a distance 20/wbi 496 lba v;ow* hej5osked. 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 negative point charge of -q are sepabhyg2;6.w0x ..bu)4lv zwvx vr hg2sgrated by a distau; gybhvsgl2v.xwh )b 26r.w.4zgv 0xnce d. What would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on t n :f6pe5l8k/ ic4:mr of;76luq bwnanhe x-axis inotherwise empty space as shown b7n5 6ine4 rmklp:: c;6wlb f o8qfu/anelow.
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 q ru- 6eb2oo)3dulf5e0tzr9 wmz1 y4jshown belb euw12j )rdzyr934 u-qtz0mofol6e5 ow.
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 arran6nrk;zb)y 4t iged as shown in the accompanying diagram. At which of the labeled points is the field most nearly zero;n bzk6ryi) 4t?

  98.30: Four positive point charges are arranged as shown in t, k0l 0; qxj+ecks1q79rudjz qhe 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 bet1lq7xec r0u q,0kj;s+ qk 9jzdween 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 onr2em ,xjab2r : the negative x-axis 0.20 m to the left of the origin, as shown in the accompanying b x:ej22rarm,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 electric potential is zero at infinity. A point charge ofny g66dkqy, 4fwq z.y+ +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 thfw+6 qzk ny4g 6y,q.dye 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 k4vz7bet u3l3arranged on the corners of a 10 cm square as shown. What would be the direction of the resulting3z7be tulk 4v3 electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the x-axisw/7 nbhd5lsnb5)qp + s, each a distance a from the origin as shown. At the point labeled P, a distance along they-an b/5 wp75nqbh)ld+ ssxis from the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configuration qkge;kh 7.m5i(aj-p qiy e43xof three charges, +Q, +Q, and −2Q, which one of the following choices best represents the directiopq5k3e7x; i h.(4jy-kgaeq i mn 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 ake li)fmn u8 -e2g*ic; charge per unit length given amu; ek -2i8c* gei)fnls $λ=λ_0cosθ$ 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?