We move a particle along an x axis, first outward from x = 1.0 m to x = 4.0 m and then back to x = 1.0 m, while an external force acts on it. that force is directed along the x axis, and its x component can have different values for the outward trip and for the return trip. here are the values (in newtons) for four situations, where x is in meters. find the net work done on the particle by the external force for the round trip for each of the four situations. (e) for which, if any, is the external force conservative?

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 = ?