The pressure under the surface of a liquid increases with depth. Determine the pressure in Newtons per square meter on a lake at a depth of 100 meters (over 300 feet).
p=ρgh=1000(kg/m3)•9.8•100=9.8•10^5 N/m2
To determine the pressure at a given depth in a liquid, you can use the concept of hydrostatic pressure. Hydrostatic pressure refers to the pressure exerted by a fluid at rest and is proportional to the depth and density of the fluid.
To calculate the pressure at a specific depth, you need to use the formula: P = ρgh, where P is the pressure, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height or depth.
In this case, we are looking for the pressure at a depth of 100 meters in a lake. The density of water is approximately 1000 kg/m^3, and the acceleration due to gravity is approximately 9.8 m/s^2.
Using the formula P = ρgh, we can substitute the values:
P = (1000 kg/m^3) * (9.8 m/s^2) * (100 m)
Now we can calculate the pressure:
P = 980,000 Newtons/m^2
Therefore, the pressure on the lake at a depth of 100 meters is approximately 980,000 Newtons per square meter.