a) i) Define power as used in Physics. (1 mark) ii) Write down the SI unit of power and express it in base units. (2 marks) b) A pump is used to raise water from a well 15 m deep and discharge it at the surface through a pipe of cross-sectional area 4.0 × 10⁻³ m² at a speed of 5 m/s. i) Calculate the volume of water discharged per second. (2 marks) ii) Calculate the mass of water discharged per second. (2 marks) iii) Calculate the kinetic energy given to the water per second. (2 marks) iv) Calculate the potential energy given to the water per second. (2 marks) v) Calculate the minimum power rating of the pump. (2 marks) vi) If the pump operates at an efficiency of 80%, calculate the actual power input to the pump. (2 marks) c) State the energy transformation that occurs in the pump described above. (1 mark) [Density of water = 1000 kg/m³, g = 10 m/s²]