95.26: Two positive point charges repel each other withlu-)nl ci t cnxfb 2/4is-6l*e force 0.36 N when their separation is 1.5 m. What force do they exebxe 2 u/n* lici4nl)ft6csl--rt on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be rfp x;1t8/zvet emoved from an electrically neutral object to give it a nevfe/p t;t 1z8xt charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow4ni7e 2lbzs :t of electrons in a horizontal wire produces a constant cut eisnl 24z:7brrent 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-section of the wire during this time?

  13.07: Two identical particles are fixed in place a distance of 0.50maparf4uy 5 tj93,i7tgz odgt. The electric force that one particle exerts on tiot7 d 4t3j9fy5gug ,zhe 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 are spaced by a distance R,;u74 dh wmw(hk what is the ratio of the gravitati4u( hk dhwwm;7onal 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 g7g+: :ra;.hoqyun r ensca19o8, ixkwith 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, which choice best describes the object that experiences t ks8 rnr1a7.n u,qga:hy9o oi:xc+ e;ghe 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 weigh*c 3d+7vfjjgbkt):a bt 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 q with the vertical. What is the sign and m)ckbbdj*g3atv:7 fj+ agnitude of q?

  09.38: A small object of mass M and charge Q is connected to an insu.3e/vpmyjq /uoyy - r8lating 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 trajecvrq j38e-. /m/puoyyy tory of the mass?

  13.29 Two electrons enter a3h j7l 7bwv4cu region between charged capacitor plates with equal speed v. Electron A iubc4h w7l 7j3vs 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 govg7,+anbxk4 06tt r toyu4;b2 bleg h/e)a5 a force of magnitude F on a negative point charge placed a distance x away. If t gttue7rbt o2 6 ag), 4vlex5;0o+hb/nbk4ayghe distance between 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+sacj fc8 vi,-1wuou, separated by a distance R, the force between them is F. If the distance between them is quadrupled, the fv osu ,fjwci8-ua,+c1 orce between them is

  03.18: Two identical electrical point charges Q, separatea8.bl rvxtmjnh4k.*)u)axjc -rdn ) ( d by a distance produce an evrdaj. -t lx)m8.rcba)()n knh *ux4jlectrical force ofF on 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 two92q+:bfr2 *fo a odfdlgoq,/c point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magld2 q9 :g cfor2f* +d,/fqoaobnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a negatiym,wh+i7 ok n7, 5kjcfve point charge of -q are separated by a distance d. Wh5 j+,mfk7, k onyciw7hat would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotbgewbiz863 hyn5/ +4x(zee+wopxt k0herwise empty space as shown zpe/zx5ebo3 w6 0+y(8b+gxkht 4n weibelow.
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 ( 7yx n6rtsgt-space as shown t6s -x yrng(7tbelow.
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 accoq8q;9mt pto3t g,3ded:ckws.mpanying diagram. At which of the labeled points is the field8 9tc, qqedmk3do.tsg;w3tp: most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompanying dia1nyc3ov..mkh4 y- n scgram. The force betweec-3ny kvny.1ocsmh4 .n 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 is most nearly

  94.08: A point charge of +4.0 μC is placed ,h5brd*a ib p,on the negative x-axis 0.20 m to the left of the origin, as shown in the acc,*b,a hp rbd5iompanying 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 g;q cth, vp 2j1vektxh;27f 8hzero 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 thtk v p,hg;chxhv j1eq27;t 28fe 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 charges are arranged onsu0fn qssi+p9: ze5 :aom9n;y the corners of a 10 cm square as shown. Whpye ua+9:s ;0:fiosqs mn9z 5nat would be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in b-7nat;et f 1v1f 3ocf x:hvamgp85x3 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, what ix113omvbcg7p;t- n:axv f8tehf5f 3as the direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, which one of th(q37p go6zb d;nqsg y6e following choices best represents the dires3bg qznp od 6y;7q(6gction 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 hy1v (sj5f 8gaper unit length 5j1y vaf (hsg8given 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?