for every 10m you desend below the surface of water

To calculate the increase in pressure for every 10 meters you descend below the surface of water, you need to understand the concept of hydrostatic pressure. Hydrostatic pressure refers to the pressure exerted by a fluid (in this case water) due to the weight of the fluid above it.

The pressure increases with depth because as you descend, there is more water above you, which creates a greater force and thus higher pressure. The increase in pressure is usually measured in units of pressure called Pascals (Pa).

The formula to calculate hydrostatic pressure is:

Pressure = Density x Gravity x Height

Where:
- Density is the density of the fluid (in this case water), which is approximately 1000 kg/m^3.
- Gravity is the acceleration due to gravity, which is approximately 9.8 m/s^2.
- Height is the depth below the surface of the water.

Now, to calculate the increase in pressure for every 10 meters descended:

1. Start with the initial pressure at the water surface, which is usually atmospheric pressure (approximately 101,325 Pa).
2. Use the formula mentioned above to calculate the pressure at that depth.
3. Repeat the calculation for every subsequent 10 meters of descent, adding the previous pressure to the calculated pressure at each new depth.

For example, to calculate the pressure at a depth of 10 meters below the surface:

Pressure at 10m = Density x Gravity x 10m

Substituting the values:

Pressure at 10m = 1000 kg/m^3 x 9.8 m/s^2 x 10m = 98,000 Pa

To calculate the pressure at 20 meters below the surface, you would add the pressure at 10 meters to the calculated pressure at 20 meters:

Pressure at 20m = Pressure at 10m + Density x Gravity x 10m

And so on, for each subsequent 10-meter increment.