95.26: Two positive point charges repel each othjc3 tg-xoif +za4q;dk dj07 -l/w-lrcer with force 0.36 N when their separation is 1.5 m. Wx4d-dlw3c - l 7ja-gtq+ko/0zc fri;j hat force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons mu a oyt9x :1hddmr0,kf7zkd(,ust be removed from an electrically neutral object to give trk d ,,9ydd70aou hm f(z1xk:it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontal wire produces a conyuayj b:e;-z6sr)4 giatjkz/x / 6)zs.mw9zf stant current of 3.20 A for a time of 3.0 hour. Which one of the following choices best represent); b a s wj tjg9uayzz6fz4s/r-yix /e:6z)km.s the number of electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed m) m 7yy,rib+ 9)dbtt9p+ulkj 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 foj)ybbl i 7 ,my+mu)r9kt9d pt+llowing choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by a distance R, what is the6js9w,fmsn(c j xw-m- ratio of the gravi( mx-jmsf,jsncww9 -6 tational 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 wi9zttl cod :al(7(2qv*2uaxm nth 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 o7nqd((tlum2 : ta 2acvlzx*9 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 a6+yk )lr )l)rycfchh7m u(r1lttached to one end of a string of length L. The other end is attache l)r)r(1kul )clhfmc+ryh6 7yd 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 magnitude of q?

  09.38: A small object of mass M and charge Q is cxdp*si ,;uk *connected 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 thi*kxu c*,d; spe 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 capacitoa8+/ducyq) x7 3tggj3u;sq( ewygwl xbj p47 +r plates with equal speed v. Eley;ue7l4 u+dcs w/j yxt) gaj q(8bgq+3gwx3 p7ctron 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 neh52 q2hbo7 y5zd0+kbc3em pwy gative point charge placed a distance x aw+c5pk z d3w 02bhh5yq2boy7meay. If the 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-likszj4n3aw i.c0 s-0 adde objects are separated by a distance R, the force between them is F. If the distance between them is quadrupled, the force betweenz4is3-d0 c .0aaw sjnd them is

  03.18: Two identical electrical point charges Q, separated by a distal7 v*imlz5k7rjv.hw1 nce produce an electric vljz.m* vhwl7rki751 al 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 betwpd8nr(pddmfm26lix: n 0u-r 78v0siaeen two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q is:0m8uipn08 rmi6 sdl:(xvn7d-fd a 2rp

  01.31: A positive point charge of +q and a negative poi slzm+*sk) rv)nt charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between the two cz) smrskvl+* )harges?

  08.33: Two point charges are fixed on the x-axis inotherwise e0etgix5f . q+smpty space as shown bet ei.gsf5q+x0 low.
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 cha m1ub l0d,hmm9rges are fixed on the x-axis in otherwise empty space as shown b u9mdlbmh,1 m0elow.
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 shownb iyu* 86ww4ip in the accompanying diagram. At which of the labi 6wwp*y4bu8i eled points is the field most nearly zero?

  98.30: Four positivec hmllsy* noci;w2jwq*z al,2v s/,19 point charges are arranged as shown in the accompanying diagram. The/wlizl2m *slc2 9a1jh s* cn;q,yw, vo 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 is most nearly

  94.08: A point charge of +48b6yibw;k , mb.0 μC is placed on the negative x-axis 0.20 m to the left of;b6ybi,8w bmk 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. What is q?

  95.36: Assume the electrig0ji o4cg8o skb.biw o 6t 0h-rq;as:.c 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 figure. A second point charge q is placed on the positive x-axis 0.30 m to the right of the origin.:h08 q406cwto g sbko j i.gra.;sobi- The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are arranged on g2s )6rugy)+i8 js zx7w9ticx) e6jsl the corners of a 10 cm square as shown. What would be the direction of the rjizy86e g9+ )ris wul27c6))s xgxjs tesulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in placq4unw* i8jxrkcf k64 4d +i+ hj,:putge on the x-axis, each a distance a from the origin as shown. At the point l4jkx+wri4i6d :t,g+jpk*8 hfc uu4 qnabeled 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 charges, +)k v d*br,o-vqh gl-43nfwaj*Q, +Q, and −2Q, which one of the following choices best represents the direction of the * b-r3okj-vwl,g* v daf 4q)hnelectric 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 unitb 6qnn0njgv7p8.2dw w length givenvnqn pwn bdg06jw287 . 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?