Steve's house is on the roof of a building about 10 meters high. Steve wants to decorate the surrounding landscape by planting a large pine tree on this rooftop. Unfortunately, trees can be planted, but there are no water pipes on the roof of the building. There is a small pond right next to it. At this time, Steve tries to grow pine trees on the roof by pulling up the water from the pond. You need a pump to pump water up. Steve tries to purchase a pump by obtaining the power required by the method he learned in thermodynamics class. Using a pipe with an inlet diameter of 12 cm, the pump must draw water from the pond at a constant flow rate of 0.83 m^3/min to sufficiently water the pine trees. Water is sent to the tip of a roof hose with a shrink nozzle. The nozzle outlet has a diameter of 3 cm and is 10 m above the inlet of the pipe in the pond. Water enters at 20 degree Celsius, 1 atm, and exits without significant changes in temperature and pressure. The magnitude of the heat transfer rate from the pump to the periphery is 5% of the vortex force. (a) What is the velocity (m/s) of water at the inlet and outlet? (b) Also, what is the power (kW) required by the pump to purchase the pump?