Positive charge is placed on two conducting spheres that are very far apart and connected by a long, very thin conducting wire. The radius of the smaller sphere is 5.60 cm and the radius of the larger sphere is 10.5 cm. The electric field strength at the surface of the larger sphere is 215 kV/m. Find the surface charge density on the 5.60-cm sphere. (in C/m^2)

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j