user20061024
13.07.2021 •
Physics
Water stands at a depth H in a tank whose side wails are vertical. A hole is made on one of the walls at a depth h below the water surface. Find at what distance from the foot of the wall does the emerging stream of water strike the floor?
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Ответ:
x = 2h
Explanation:
This is an exercise in fluid mechanics, let's find the speed of the water in the hole
P₁ + ½ ρ v₁² + ρ g y₁ = P₂ + ½ ρ v₂² + ρ g y₂
where the subscript 1 is for the tank surface and the subscript 2 is for the depth of the hole
the pressure inside and outside the tank is the same
P₁ = P₂
we must measure the distance from the same reference point, let's locate it on the surface of the water
y₁ = 0
y₂ = h
Suppose the gap is small compared to the diameter of the tank
v₁ «v₂
v₂² = 2 g (0-h)
This is the speed of the outlet water in the tank, as the force is horizontal this speed is horizontal.
Let's use the projectile launch ratios
vₓ =
y = y₀ + v₀ t - ½ g t²
the height when reaching the floor is y = 0,
the initial height is measured from the floor therefore y₀ = H-h
0 = (H-h) + 0 - ½ g t²
t =
we look for the distance x traveled
x = vₓ t
x =
x =
x = 2h
Ответ:
a and c
Explanation: i took a guess but let me know if i'm correct.