Question

Figure below shows a cube of each side 15cm immersed in a tub containing water
of density 103 Kg m-3 such that its top surface is 20cm below the free surface of
water.

Answer 1

AnswEr

Pressure exerted by water on the bottom of a deep dam(Hydrostatic pressure) is 120000 Pa.

GivEn :

Density of water, ϱ = 10³kg/m³

Height = 12 m

g = 10m/s²

To find :

Pressure exerted by water on the bottom of a deep dam(Hydrostatic pressure) =

SoluTion :

We know that,

$\begin{gathered}\begin{gathered}\sf \longrightarrow \: Hydrostatic \: pressure = \rho \times g \times h \\ \\\end{gathered}\end{gathered}$

Substituting the values,

$\begin{gathered}\begin{gathered}\sf \longrightarrow \: Hydrostatic \: pressure = {10}^{3} \times 10 \times 12 \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\sf \longrightarrow \: Hydrostatic \: pressure = {10}^{4} \times 12 \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\sf \longrightarrow \: Hydrostatic \: pressure = 10000 \times 12 \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\sf \therefore { \blue{Hydrostatic \: pressure = 120000 \: Pa}} \\ \\\end{gathered}\end{gathered}$

Hence,

Pressure exerted by water on the bottom of a deep dam(Hydrostatic pressure) is 120000 Pa.