5. In a hydropower plant, electricity is produced by rotating many turbines. The turbines are rotated by letting water ow with some kinetic energy through them. The water is initially stored in a reservoir located at a higher point than the turbines and a ood gate is opened such that water will fall onto the turbines. Assume that the ood gate is located directly above the turbines at a height of 50 m. Consider 1 m3 of water. The density of water is 1000 kgm'3. (10 Points) (a) Find the potential energy of 1 m3 of water in the reservoir with respect to the turbines. (b) Find the velocity of 1 m3 of water at the point it falls onto the turbines. (c) If a volume of 60 m3 is passing through the ood gate per second, nd the input power of a turbine. Assume the kinetic energy of water is fully transduced into the rotational kinetic energy of the turbines. (d) The eiciency of such a turbine is usually around 60%. Find the amount of electric energy produced by a turbine per second