Question

I need help in this problem but not with the physics part, I'm stuck with the algebra, the book skips some algebra steps and I'me getting stuck there, I need to understand how they eliminate K and q3, and also when they are solving for x, what happened to the other x, if you could do that part doing all the algebra steps I would appreciate it so much. Thanks

Example 23.3 Where ls the Net Force Zero? AM Three point charges lie along the x axis as shown in Figure 23.8. The positive charge 위=15.0 μC is at x-2.00 m, the positive charge g2 a 6.00 AC is at the on- gin, and the net force acting on g, is zero. What is the x coordinate of ? 2.00 m SOLUTION 91 Conceptualize Because g, is near two other charges, it experiences two electric forces. Unlike the preceding example, however, the forces lie along the same line Figure 23.8 (Example 23 3) Three in this problem as indicated in Figure 23.8. Because 9, is negative and 91 and mislit are positive, the forces ft, and are both attractive. Because q2 is the stnaller q, is zero, the force eseredty charge, the position off, at which the force is zero should be closer to喪than to 9-4, on must be equai in magnmade Figure 238 ped sean o point charges are placed along the x 42 axis. If the resultane force acing on Categorize Because the net force on gs is zero, we model the point charge as a exened tby on on g particle in equilsbrium Analyze Write an expression for the net force on charge gs when it is in equilibrium: as (2.00-x Move the second term to the right side of the equation and set the coefficients of the unit vector i equal: continued Eliminate k, and lgsl and rearrange the equation: Take the square root of both sides of the equation: Solve for x: 2.00 Viga 2.00 V 6.00 × 10 6 C v6.00 × 10 6 C +V15.0 × 10 6 C Substitute numerical values, choosing the plus sign = 0.775 m

Answer 1

Answer. The nur bree actin , em charge 23,us F3 =0 The 굼, ces acting en ue Fd and Fa Fence, between change 온2子23 =貝3 The Fas =-ki-12211231 i Heseeis the distonce buten ehge 72 and t3. x 2 %nce Fes as a.try. aleh, Mirt Aide吇 axa- (え

Taking a Rout NEY 10