Do this with the roller costar in class and the 25 mm (0.067 kg) ball in projectile launcher with spring constant (k) of 200 N/m A ball of 0.067 kg is pushed against a spring of spring constant k = 200. N/m compressing the spring 0.055 m. What will be the speed of the ball as it is projected out of the launcher?

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 = ?