The figure below shows a small, hollow, rubber sphere hanging vertically from a thin, lightweight thread. The sphere has a mass of 6.50 g and a uniformly distributed charge of q, = 31.5 nc. Directly below it is a second sphere with the same mass, but a charge of 9, = -58.0 nC. (Assume this second sphere is fixed in place.) The centers of the two rubber spheres are a distance d = 2.00 cm apart. 92 - (a) What is the tension (in N) in the thread? (b) The thread will break if the tension in it exceeds 0.180 N. What is the smallest possible value of d (in cm) before the thread breaks? cm

Two metal spheres of identical mass m = 4.60 g are suspended by light strings 0.500 m in length. The left-hand sphere carries a charge of 0.765 µC, and the right-hand sphere carries a charge of 1.47 μC. What is the equilibrium separation between the centers of the two spheres? 0.6078 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four- digit accuracy to minimize roundoff error. m

The gecko is sticking upside down to a smooth ceiling. The remarkable adhesion might be due to static electricity. Gecko feet are covered with microscopic hairs. When these hairs rub against a surface, charges separate, with the hair developing a positive charge and negative charge forming below the surface. There is an attractive force between the separated charges. This is an effective means of adhering to a surface, but it comes at a cost: Two planes of charge are like two charged plates of a capacitor, which takes energy to charge. Doubling the amount of charge on each surface increases the attractive force, but also increases the energy required to separate the charge. Part A By what factor does this energy increase? (UElec){ (UElec); ΕΧΕΙ ΑΣΦ Submit Request Answer Provide Feedback ?

The figure below shows three small, positively charged spheres at three corners of a rectangle. The particle at upper left has a charge q, = 8.00 nC, the one at the lower left has a charge of q2 = 4.00 nC, and the one at lower right has a charge q, = 6.00 nC. The rectangle's horizontal side has length x = 5.50 cm and its vertical side has length y = 4.00 cm. (a) What is the electric potential (in V) at the upper-right corner of the rectangle? (Assume the zero of electric potential is at infinity.) 2.65*10**3 What is the electric potential at a point due to a single charged particle? Given more than one charged particle, how do you find the total potential at a point? How far is each charge from upper right point? Be careful with units and signs. V (b) What would be the potential (in V) at the upper-right corner if the charge q, at lower left was -4.00 nC instead? 2.71*10**3 Use the same method as used in part (a). Note q, is now the opposite sign. How does this affect the potential due…