1) A pump is designed to move and deliver to a vertical distance of 80 m, what energy per kg of water must be supplied by the pump in this process? Assume that g = 9.8 m/s^2
2) A spring deflected by its rest position by 3 inches. If the modulus of the spring is 150 lbm/in, what is the work done in stretching the spring?
3) A system of piston-cylinder contains a gas which expands by the relationship PV = C. If p1 = 600 psi, v1 = 1.8 m^3, and v2 = 14.8 m^3, calculate the final pressure and the work done.
4) If a process follows the law of PV^1.5 = 19, where P is in KPa and V is in m^3, find the work done if volume is changed from 1.8 m^3 to 2.9 m^3.
5) A round pipe, carrying water has a restriction in it where the diameter at the restriction is 1/2 the normal diameter. If water is flowing through the pipe with a velocity of 3 m/s, what would be the water velocity at the restriction assuming water density is 1000 kg/m^3.