What gauge pressure must a machine produce in order to suck mud of density 1800 kg/`m^(3)` up a tube by a height of 2.0 m?

Explanation

To solve the problem of determining the gauge pressure required to suck mud with a density of 1800 kg/m³ up a tube by a height of 2.0 m, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Gauge Pressure**:
Gauge pressure is the pressure relative to atmospheric pressure. When sucking a fluid (in this case, mud) up a tube, the pressure at the bottom of the tube must be greater than the pressure at the top by an amount sufficient to lift the fluid.

2. **Identify the Relevant Variables**:
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