E=F*d/2 = M*g*d/2 = 25kg * 9.8 N/kg *0.65m / 2 = 79.625J
Answer:
The Hydrostatic force is 
The location of pressure center is
Explanation:
From the question we are told that
The height of the gate is 
The weight of the gate is 
The height of the water is 
The density of water is 
Note used
for height of water and height of gate immersed by water since both have the same value
The area of the gate immersed in water is mathematically represented as

substituting values


The hydrostatic force is mathematically represented as

Where


So


The center of pressure is mathematically represented as

Where
is the moment of inertia of the gate which mathematically represented as

The
is the height of gate immersed in water
Thus


Answer:
The pressure at point 2 is 
Explanation:
From the question we are told that
The speed at point 1 is 
The gauge pressure at point 1 is 
The density of water is 
Let the height at point 1 be
then the height at point two will be

Let the diameter at point 1 be
then the diameter at point two will be

Now the continuity equation is mathematically represented as

Here
are the area at point 1 and 2
Now given that the are is directly proportional to the square of the diameter [i.e
]
which can represent as

=> 
where c is a constant
so 
=> 
=> 
Now from the continuity equation
=>
=>

Generally the Bernoulli equation is mathematically represented as

So
=> 
substituting values


We know, F = 1/4πε * q₁q₂ / r²
Here, q₁ = 5 * 10⁻⁶ C
q₂ = 2 * 10⁻⁶ C
r = 3 * 10⁻² m west
Substitute their values,
F = (9 * 10⁹) (5 * 10⁻⁶) (2 * 10⁻⁶) / (3 * 10⁻²)²
F = 100 N [ East of positive charge ]
Hope this helps!