An engine pumps water from a tank at the rate of 10 kg per second and ejects from a nozzle 7 m above the surface of the tank with a velocity of 20 m/s. What is the output power of the engine?

Explanation

To solve the problem, we need to calculate the output power of the engine that pumps water. The power can be calculated using the work done by the engine in one second. The work done consists of two components: the work done to lift the water to a height and the work done to eject the water with a certain velocity.

### Step-by-Step Solution:

1. **Identify the Given Data:**
- Mass flow rate of water, \( \dot{m} = 10 \, \text{kg/s} \)
- Height of the nozzle above the tank, \( h = 7 \, \text{m} \)
- Velocity of water ejected from the nozzle, \( v = 20 \, \text{m/s} \)
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