The figure below shows a small, hollow, rubber ball hanging vertically from a thin, lightweight string. The ball has a mass of 7.00 g and a uniformly distributed charge of q, = 29.9 nC. Directly below it is a second ball with the same mass, but a charge of 92 = -58.0 nc. (Assume this second ball is fixed in place.) The centers of the two rubber balls are a distance d = 2.00 cm apart. (a) What is the tension (in N) in the string? N (b) The string will break if the tension in it exceeds 0.180 N. What is the smallest possible value of d (in cm) before the string breaks? cm

A 8-g charged plastic sphere charged to 75 µC is on top of a plastic spring with spring constant k = 400 N/m, which has a relaxed length of 10 cm. You then place another charged object 1 cm above (not touching) the sphere. Now, the spring is 9.5 cm long. Find the charge on the new second object.

A small metal sphere carrying a net charge of Q = -2.00 uC is held stationary by insulating supports. A second small metal sphere with a net charge of Q 2 = +7.80 uC and mass 1.50 g is is held 0.8 m away from the center of the first sphere. Assume the two spheres can be treated as point charges and that you can ignore gravity. If the second sphere is released, how fast will it be traveling when it is 0.6 m away from the center of the first sphere?

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +6q. Sphere B carries a charge of -5g. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Last, sphere C is touched to sphere B and separated from it. For the following questions, express your answers in terms of q. (a) How much charge ends up on sphere C? 0.5 (b) What is the total charge on the three spheres before they are allowed to touch each other? 0.25 (c) What is the total charge on the three spheres after they have touched? 0.375 Additional Materials M eBook JAN 12 tv MacBook Air DII 80 F7 F8 F6 esc F4 F5 F1 F2 F3 * 24 %

The figure below shows four small beads, each with a positive charge, at the corners of a square. The length of each side of the square is a. The bead at top-right has a charge of q; the one at lower-left has a charge of 8.0q; the other two each have a charge of 6.0g. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) a 6.09 а 8.0g 6.0g a (a) What is the magnitude of the force on the bead with charge q? Express your answer in terms of k, q, and a in symbolic form. ka [12.485] F = a? What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After finding the x- and y-components of the net force, how can you use them to find the magnitude of the net force? (b) What is the direction of the force on the bead with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.) 45 ° counterclockwise from the +x-axis

Two fixed positively charged balls (q 1 = 1 × 10-ºC; q 2 =?) are separated by a distance d = 0.3 m. If the Coulomb force between the two charges is F = 10-6N, then the charge q2 is equal to: (ke = 9 × 10° N.m²/C²) 10^-9 C 10^-8 C 10^-7 C 10^-2 C 10^-6 C

A 0.01294 kg ball with a positive charge of 47.4 μC hangs from a light string right next to a large vertical metal plate (the metal plate is so large compared to the length of the string and ball consider it to be infinite in size).  How much surface charge density must the plate have to repel the ball so that the string makes and angle of 5.03 degrees from the vertical.  Give your answer to 3 significant figures and in units of nC/m/m (nanoCoulombs per meter squared: Blackboard has trouble with squred units).  Type in the units right after your numerical answer.

Two charged spheres on a frictionless horizontal surface are attached to opposite ends of a string & are in static equilibrium. The 39 kg red sphere has more charge than the 22 kg green sphere. The total charge magnitude on the spheres is 120 ?C & they have the same polarity. As a result the tension is 202.5 N & the centers of the spheres are 0.39 m apart. Find the charge magnitude on each sphere. Qred (bigger charge) = Qgreen (smaller charge) =