Awell hole having a diameter of 5 cm is to be cut into the earth to a depth of 75 m. determine the total work (in joules) required to raise the earth material to the surface if the average mass of 1 m is 1830 kg. (data: g = 9.81 m/s) (hint: how much work is required to raise a volume of ad/4 x dx from a depth of x feet to the surface?

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 = ?