Answer:
The hydro static force on the back of the dam is [tex]1.96\times10^{11}\ N[/tex]
Explanation:
Given that,
Width b= 1000 m
Depth d= 200 m
We need to calculate the average pressure
Using formula of average pressure
[tex]P_{avg}=\rho\times g\times d_{avg}[/tex]
Put the value into the formula
[tex]P_{avg}=1000\times9.8\times100[/tex]
[tex]P_{avg}=980000\ Pa[/tex]
We need to calculate the hydro static force on the back of the dam
Using formula of force
[tex]F = P_{avg}\times A[/tex]
Put the value into the formula
[tex]F = 980000\times1000\times200[/tex]
[tex]F=1.96\times10^{11}\ N[/tex]
Hence, The hydro static force on the back of the dam is [tex]1.96\times10^{11}\ N[/tex]