95.26: Two positive point charges repel each other with force 0.36 N when theiui9hj 82fannfl71 d,e r separation is 1.5 m. What force do they exert on each 1 2fa9du lf8hnein,7jother when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an electrically neu,ib7 y o3jxvo x(:8e4tlt hj7fpvzh/3tral object to give it a net charge of Q :xftz 8/7ey4txh,b 3l(7vvjoj3 oihp= + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontal wire produziy ,s* -b5graces a constant current of 3.20 A for a time of 3.0 hour. Whis,rba5y z *-igch 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 0.50mapart. The -*ekm-du6 hjq/mdqor.7l ei4electric force that one particle exerts on the other has a magnitude of 3.7qh6qr me-/kdeluji dm- *o .400 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 qwd9kk ra y6w r 9*mg8;gvj6w9ratio of the gravitykrm; rwg dk86g9av9q j *ww96ational 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 *v.vd 2x6cy nu3 0vytw .:ew9atwn..8rodgav of charge Q and mass M being placed near a helium nucwn8ydgvv .nvw: 2o y6aua0xd3*et .wrv.t9 c.leus (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 cdw q+u - a:.*6fhwdgbh+etb-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 signu+:dw-.hgefcw-db+qa6t* h b and magnitude of q?

  09.38: A small object of mass u;0zmlv,mvg,w( 8 mvus-ut/b M and charge Q is connected to an insulating0, (v,us-m ;tl vv/zmwm ubg8u 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 the mass?

  13.29 Two electrons enter a region between charged capacitor plates with equa8hug 18a4dg45 cgpttol speed vpo1gd t cggtu4 885a4h. 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 y:b k302zd-nep v4us-pd +nkhmagnitude F on a negative point charge placed a distance x away. If the distance betwku+zdkev 4b0h nny: s2p p-d-3een the two point charges is halved, what is the magnitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated)/ vaev1/qh ce by a distance R, the force between them is F. If the distance between them is quadrupled, the force betwh) //e1v evcqaeen them is

  03.18: Two identical electrical point charges Q, separated by a dista3jw 2td hb8o;zf6 e,txnce produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, what 3wd,x8hefott2bz;6j is the strength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges +3q and -q si3:)d/o kscay f-b f 9hqru1a6eparated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q i9/c1o:fy6-q)ah 3brk fsau d is:

  01.31: A positive point charge of +q and a negative point charge of -6+qhvhp .(q idq are separated by a distance d. What would be the magnitude of the electric field midway betweedqh (q6p .hv+in the two charges?

  08.33: Two point charges are fixed on the x-axis inother6f; ph;jey/f v5+q snkwise empty space as shown belo p/;v; njef q5+6kfhysw.
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 otherwis;hwc5k 2cba2 je empty space as sho2kahjw;c c25 bwn 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 al o-i9o*z6kz c6zww)gre arranged as shown in the accompanying diagram. At which of the labeled points is theoz-9w z gw)z c*oilk66 field most nearly zero?

  98.30: Four positive point charges are k*p lz hb ::isxc)b:gypor2.2arranged as shown 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 total force on charge 3 pkb2:r *2 pyxs::)czhg. ioblis most nearly

  94.08: A point charge of +4.0 μC is placed on the ndb1 c; bo6 :bni/l/hwxegative 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 the origin is zero. Whanb bx1oidl:/ w/ ch6b;t is q?

  95.36: Assume the electric potential ist h6 hn: ct0rhdhru.s;)en0 (k m1f3jt 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 net elecet ;(ct0hh mu 0n1k.j sf3rt:6hrd)nhtric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are /eu 34czl1ig )l zb1maarranged on the corners of a 10 cm square as shown. What would be tz1a gi/lem3u z)cl1 b4he direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and + tn1mqj7e/f3x6ql d g8Q, are fixed in place on the x-axis, each a distance a from the origin as shown. At the point labeled P, a distance q/38tl16gmexdq n 7 fjalong 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, which onekg.tgyc,7)x+6 :enn6 k 5hehs( desra of the following choices best represents the direction of the electric field at the point P keg ,e : ssngchn+xtdy6h 7.6)eak5r(and the sign of the electric potential at P from these charges?

  17.43: A semi-circle has radius R, t8 g*4hn(zmvv3 wqqt.g otal charge Q, and a charge per unit length givqmv t*3z.gwhv8n4g (qen 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?