Water is moving with a speed of 5.0 m/s through a pipe with a cross-sectional area of `4.0 cm^(2)`. The water gradually descends 12 m as the pipe cross-sectional area increases to `8.0 cm^(2)` (a) What is the speed at the lower level? (b) If the pressure at the upper level is `1.5 xx 10^(5)` Pa, what is the pressure at the lower level?

Explanation

To solve the problem, we will break it down into two parts: (a) finding the speed at the lower level and (b) calculating the pressure at the lower level.

### Part (a): Finding the speed at the lower level

1. **Identify the given values**:
- Speed at the upper level, \( V_1 = 5.0 \, \text{m/s} \)
- Cross-sectional area at the upper level, \( A_1 = 4.0 \, \text{cm}^2 = 4.0 \times 10^{-4} \, \text{m}^2 \)
- Cross-sectional area at the lower level, \( A_2 = 8.0 \, \text{cm}^2 = 8.0 \times 10^{-4} \, \text{m}^2 \)
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