Abiconvex lens with an object at 2 f. rays are drawn both parallel to the principal axis and through the center of the lens. the ray parallel is bent through the focal point on the image side of the lens. the ray straight through the center of the lens is not bent. the rays converge at the image at 2 f on the image side of the lens that is inverted and the same size as the object. what are the characteristics of the image formed by the object?

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?