Answer:
P = 40.7kPa
Explanation:
To find the pressure on a surface 6 meter below you use the following formula, which takes into account the heights in which pressures are measured and also the density of the fluid and the gravitational acceleration:
[tex]P_2-P_1=-\rho g(y_2-y_1)[/tex] (1)
P2: pressure for a height of -6 m = ?
P1: pressure for a height of -2 m = 1.5kPa = 1500 Pa
ρ: density of water = 1000kg/m^3
g: gravitational acceleration = 9.8 ms^2
y2: -6m
y1: -2m
(the height is measure from the water level, because of that, the heights are negative)
You solve the equation (1) for P1:
[tex]P_1=P_2-\rho g(y_2-y_1)[/tex] (2)
Next, you replace the values of all variables in equation (2):
[tex]P_2=1500Pa-(1000kg/m^3)(9.8m/s^2)(-6-(-2))m=40700Pa\\\\P_2=40.7kPa[/tex]
hence, the pressure on a surface 6 m below the water level is 40.7kPa
