Question

multiple choice 1 point
what is the formula for the pressure at any depth in a liquid? (note: im not asking for the general formula for pressure.)
$p_{liq}=\frac{fh}{a}$
$p_{liq}=mg$
$p_{liq}=dgh$
$p_{liq}=\frac{d}{a}$
2 fill in the blank 1 point
fill in the blank.
the volume principle states that the amount of fluid displaced by an object is type your answer... to the volume that has been submerged in the fluid.

Explanation:

Question 1:

Step1: Recall pressure formula in liquid

The pressure \(P\) at a depth \(h\) in a liquid is given by \(P =
ho gh\), where \(
ho\) is the density (\(D\) can represent density in some notations), \(g\) is the acceleration due to gravity, and \(h\) is the depth.

• For \(P_{liq}=\frac{Fh}{A}\), \(F/A\) is general pressure \(P = \frac{F}{A}\), multiplying by \(h\) is incorrect.
• \(P_{liq}=mg\) gives force (\(F = mg\)), not pressure.
• \(P_{liq}=\frac{D}{A}\) has wrong physical - quantity combination.

Question 2:

Step1: Recall Volume Principle

The Volume Principle (Archimedes' principle related to volume) states that the amount of fluid displaced by an object is equal to the volume that has been submerged in the fluid.

Answer:

1. C. \(P_{liq}=Dgh\)
2. equal