A student microscope has a 10X objective and a 15 X eyepiece. A student is using the microscope to view a thin slice of an apple. The cells in the apple have a diameter of 0.10 mm. Assume a length L = 160 mm.(a) How far from the objective lens should the apple slice be placed?(b) Determine the angular size of a cell when viewed through the microscope.(c) Determine the angular size of a 19-mm-diameter penny at a distance of 25 cm.

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.