Question

Calculate the pressure exerted by water at the depth of 10 m.The density of water is $10kg/m^3$, and $g=10m/s^2$

Answer 1

Step1: Given data

The density of water (d) = $10kg/m^3$.

Depth of water (h) = 10 m,

Acceleration due to gravity (g) = $10m/s^2$

The pressure exerted by water (P) =?

Step2: Formula used

$$\begin{gathered} Pressure=height\times density\times gravity \\ P=hdg...............\left(a\right) \end{gathered}$$

Step 3: Calculating the pressure

Putting the given values in equation (a)

$$\begin{gathered} P=10m\times {10}^{3}kg/m^3\times 10m/s^2 \\ P={10}^{5}N/m^2 \end{gathered}$$

Hence, the pressure exerted by the water at depth of 10 m is ${10}^{5}N/m^2$.