In the figure particle 1 of charge +q and particle 2 of charge +9q are held at separation L = 6.30 cm on an x axis. If particle 3 of charge q3 is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio q3/q? LON (a) Number Units (b) Number i Units V (c) Number UnitsHow far apart must he a proton from a group of 33 protons [held in place next to one another) if the magnitude of the electrostatic force acting on the lone proton due to the group is equal to the magnitude ofthe gravitational force on the lone proton at Earth's surface? Number I Units V The magnitude of the electrostatic force between two identical ions that are separated by a distance of8.10 X 10-10 m is 430.9 X 10'9 N. (3} What is the charge of each ion? (b) How many electrons are r'missing" from each ion [thus giving the ion its charge imbalance}? {a} Number I Units v {bl Number n Units V What must be the distance in meters between point charge ch = 352 wt: and point charge q2 = 48.6 w: for the electrostatic force between them to have a magnitude of ?.10 N? Number Units V In the figure particle 1 of charge -5.70q and particle 2 of charge +2.60q are held at separation L = 2.00 m on an x axis. If particle 3 of unknown charge q3 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a) x and (b) y coordinates of particle 3? (a) Number Units (b) Number UnitsIn the figure particle 1 of charge +4e is above a floor by distance d1 = 2.80 mm and particle 2 of charge +8e is on the floor, at distance d2 = 8.10 mm horizontally from particle 1. What is the x component of the electrostatic force on particle 2 due to particle 1? - d2- Number Units VTwo identical conducting spheres, xed in place, attract each other with an electrostatic force of 0.120 N when their centerto-center separation is 41.8 cm. The spheres are then connected by a thin conducting wire. When the wire is removed the spheres repel each other with an electrostatic force of 0.0430 N_ Of the initial charges on the spheres. with a positive net charge. what was la] the negative charge on one ofthem and (b) the positive charge on the other? {Assume the negative charge has smaller magnitude.) {a} Number Units v {bi Number a Units V 35.2 HeC F = 7. 10 N F = 4160 2122 = - 48. 6 UC r = ? F ~9 X 10 9 35 2X 10 X 48 6X10 X 9X 109 710 = 1:47 m. 2. O- attractive forice F = = 0 , 120 N n = (41 . 8 \\ m . 100 R = - An6 2 22 4 2 7 - 0'120 = 9x109 41 8 4 2 .= - 2. 33 X16 12 CY (4+ 22) (4 + 22 1241.8 cm F = 010430 2 = 0 . 0930 9 x 109 (4 + 92 ) 41.8 0. 0430 100 4X0 . 0430 X 41 . 8 )2 100 9 x 10 9 4 + 2 = 183 x 106 C 94+ - 2:33 X 10 12 2 1 83 X 10 -6 . 2 2 - 2. 33 X10 2 = 183 x10 2, 2 " - (1 83 x 10 6 ) 2 - 2.33 X 10 72 = 0 1'83 X 10 + (183 x165) ~+ 4x 2.33 *10/2 2 = 106 2 (1183 + 3:56 ) 4 = 508 2' 695 X 16 6 ( positive charge) on = - 0. 865 X106. ( Negative charge )8.3. L = 6:30 Cm. +9q . 423 Force - F1 = AMIGO 2=+2 2 = +99 Force - F2 = 4716 23 22 ( L-Y) ; F1 = F2 7 L-Y L-Y ) 2 L-Y = 30 L= 4x a ) Location - X -> L = 630 4 1:575 qu y - Ocm (b = 0 Force on 2 2 ? 23 2 16 23 9 8.4. n = 8.10 x10 m . F = 430 . 9 x 109 N a charge - 9 . 2 x F - 9x 109 = 430' 9 X 10 2 2 430 . 9 x 10 x 8 . 10 x 10 10 ) 2 9 x 109 2 = 5.60 X 10 18 5.6 X 10 18 missing electron 2 e 1' 602X1019 = 34 . 985 2 35 electrons