Archimedes needs your help determining whether the new crown made for the king by a local jeweler is authentic. What is the buoyant force that he should expect from a 0.50 kg solid gold crown when it is immersed in water? The density of gold is 19,300 kg/m3 and the density of water is 1000 kg/m3.

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.