A small object has charge Q> 0. Charge q (0 ≤ q ≤ Q) is removed from it and placed on a second small object. The two objects are placed 1 m apart. For the force that each object exerts on the other to be a maximum, q should be: O 30/4 00 on

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Two small balls, each of mass 3.0 g, are attached to silk threads 30 cm long, which are in turn tied to the same point on the ceiling, as shown in the figure. When the balls are given the same charge Q, the threads hang at 0 = 3.0° to the vertical. What is the magnitude of Q?

Three charges are located as shown in the figure, with values q; = 4.8 × 10-16 C, q2 = -1.6 × 10-16 C, q3 = 5.5 × 10-16 C. The charges are separated by d, = 3.2 x 106 m and dɔ = 3.8 × 106 m. d, (a) What is the force of q2 on q j in the x direction, F,? Give your answer in newtons, and recall k = 8.988 x 10° N m²/C². (b) What is the force of q3 on q, in the y direction, F,? Give your answer in newtons.

Two point charges are placed on the x axis. A charge of qA= +4.54 μC is placed at x= 0 and a charge of qB= -2.87 μC is placed at x=d. When a third point charge qC is placed at x= 2.29d, the electric force on the charge at x= 0 doubles in magnitude but maintains its original direction. What is qC?

Three dots are resting on the vertices of a triangle. The sides of the triangle have a length of a = 0.68 m, as shown. Two of the dots (S1 and S3) have +6.5 µC charge, while the other (S2) has −6.5 µC charge. (a) Find the direction of the net force on the third dot (S3) in degrees counterclockwise from the +x-axis.   (b) Find the direction of the net force on the third dot (S3) when it is moved to the origin in degrees counterclockwise from the +x-axis.

Two red blood cells each have a mass of 9.05 × 10-14 kg and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. One cell carries -3.00 pC and the other -2.60 pC, and each cell can be modeled as a sphere 3.75 × 10-º m in radius. If the red blood cells start very far apart and move directly toward each other with the same speed, what initial speed would each need so that they get close enough to just barely touch? Assume that there is no viscous drag from any of the surrounding liquid. initial speed: m/s What is the maximum acceleration of the cells as they move toward each other and just barely touch? maximum acceleration: m/s?