The three point charges are on the x-axis as in the figure. The (+) charged q_{1} = 15mu * C is at x = 2m and the (+) charged q_{2} = 6mu * C is at the starting point. What should be the x coordinate of q_{3} so that the resultant force acting on q_{3} is zero?

Visualize the problem and identify special cases first examine the problem by drawing a picture and visualizing the motion. apply newton's 2nd law, ∑f⃗ =ma⃗ , to each body in your mind. don't worry about which quantities are given. think about the forces on each body: how are these consistent with the direction of the acceleration for that body? can you think of any special cases that you can solve quickly now and use to test your understanding later? one special case in this problem is if m2=0, in which case block 1 would simply fall freely under the acceleration of gravity: a⃗ 1=−gj^.