Pressure in a Fluid: Same in All Directions?

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    Fluid Pressure
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The pressure in a fluid at any point is the same in all directions, as confirmed by the discussion. While one participant initially believed pressure increases upward due to greater depth, it was clarified that pressure is calculated by multiplying depth by fluid density. This results in uniform pressure exerted in all directions at a specific depth. The concept that pressure acts equally in all directions is fundamental in fluid mechanics. Understanding this principle is essential for solving related problems in physics.
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Homework Statement



2. The pressure in a fluid at any point is:

a. greater upward
b. greater downward
c. greater laterally
d. the same in all directions

Homework Equations



n/a

The Attempt at a Solution



I thought the pressure was greater upward because it is greater at greater depth, but the answer key says its the same in all directions. can someone explain why?
 
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Pressure is computed by multiplying the depth below the surface by the density of the fluid. At that specific depth, pressure is exerted in all directions and it is the same in all directions.
 
Ohhh because the point has no area
 
Yes!
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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