1. What is the amount of work required to stretch a linear spring from its rest position by an amount of 0.20m if it has a spring constant of 45 kN/m.
2. A water pump increases the water pressure from 15 psia to 55 psia. Determine the power input required, in hp, to pump 0.80 ft^3/s of water.
3. A geothermal pump is used to pump brine with a density of 1050 kg/m^3 at a rate of 0.30 m^3/s from a depth of 200 m. For a pump efficiency of 74% determine the required power input to the pump. Neglect any frictional losses in the pipes and assume the geothermal water at 200m depth to be exposed to the atmosphere.