95.26: Two positive point charges repel each other with forc--n w/nc,8 o.c2uc w/zbyv:p9otvwbze 0.36 N when their separation is 1.5 m. What force do they exert on each other when their separation is 1./ czo pu9wn :ccbbw,.yvn 82 tv-wo-/z0 m?

  12.13 Approximately how many electrons must be removed from an el-zl5.+sx, kouc im, s4u:uwdtectrically neutral object to giv,u 4c oi-,w st5x.u m:+ulszkde it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, t)d) 6kgiyi yvbt( 2.g wwm(sq,cjw11she flow 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 tt 21,ys) 6)i iw1wcgj.((dvkwsgqbymhrough a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in plc9g2cvf s /lbly 9j.9yace a distance of 0.50mapart. The electric force that one yll9. /9vg2c sbc jfy9particle 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 are spaced by a distance R, what is the ratio 8fn;50hqico yof the gravitational fofqi0yh; 58nocrce 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 ofy p /ibpa(:no* 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 the greatest magnitude of electric force from the other and which object exper /:ypn*pia(obiences the greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object with chargjyq/qdyd1)m7;enkhy*qb. r6 (c6 seoe q and weight 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 figucdb(;e yq /*y.7 he6)6qny1moqrsjdkre. In the presence of the field, the string 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 c.s: dey:5r,47 9u-ijr im5tqogca cw:u 4ekauonnected 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 indi5ji7tkuiwc eegc s:- u4.y :ar,m9aq:45ud rocates the trajectory of the mass?

  13.29 Two electrons enx6e v76x3zyr+vum/ tlter a region between charged capacitor plates with equal speed v. Electron A is directed horizonte xvyv6u +7mzl/t36r xally 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 Fl0 4zx .uy glflaoyu7f2.2y l, 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 poin.y27f ug.lyxfualz ,yl0 ol 24t charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated by a distat+de wo0w9(rbn36 dl lnce R, the force between them is F. If the distance between them is quadrupled, the forc d3(l+9o lrwn6e0t dbwe between them is

  03.18: Two identical electrical point char 6.4w8qlm4 lix .khqktges Q, separated by a distance produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, what is th4.m4 l.qh8wtk ik6xl qe strength of
the resulting force?

  96.34: A point charge +q is placed midway between two poin5ht ix i/6 x/k0uvkg 8gb1sr-dt charges +3q and -q separated by a distance 2d. If Coulomb’s ix/kdgu8i0vr1gk st -b6x/5h constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and hv pmsu; letqtav6t0b5 n5u.w fq(399a negative point charge of -q are separated by a distance d. What would be ttvh.w0mp ft aqu5s 5;3buet( v9q6 9nlhe magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed o2v9mqygyx jse;3q 71yn the x-axis inotherwise empty space as shown belowvq317y yg 2 xsyjq9;me.
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 i2 kcwe,wi.r1kn otherwise empty space as shown belo 1r2w kk.w,eciw.
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 t;ih n1qb b0jm*1ey i4yhe accompanying diagram. At which of the labeled points is the field moshn0i b bjem4;qy iy*11t nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompan srs+ (fl5le 2wb,)qhuying diagram. The force between charges 1 and 3 is 6.f5,(qu r)l h wslsb+2e0 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 o(3yfxi)uy1 scem 9qxk;: u z/if +4.0 μC is placed on the negative x-axis 0.20 m to the left of the origin, a1m 3uuik : 9(eysxqic/yzx);fs 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. What is q?

  95.36: Assume the elez 1fe;7xi/vgmq4w:se* ,zdb xctric potential 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 accompanying figurez4 /e1s die7;*vxmxqfg,z:w b. 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 charges are arranged on the corners o:lkn )lwcin( s;b9k(ff a 10 cm square as shown. What would be the directcsbn) l (wn:(fk kl9;iion 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, ea(n-kz p d 0kc17 dw5u7bc1dze)flr0vdch a distance a fromklb)(p7dz0f ckc07e5v1w-ddudn 1z r 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 given charges?

  16.33 Given the configuration of three chary/y0gi mf)vnq od3h .3ges, +Q, +Q, and −2Q, which one of the following choices best represents the/.n qi hmvy3yg3 d)f0o 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, totn ):upam x3w/dxh/rhy:b .l b*z/m b.ur/kme3al charge Q, and a charge per unit length givmxham zr/k /ehpmlu. b 3:d/3/buwn): b*.yrxen 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?