Mistake Master

Fluids

Fluids are matter that flows, liquids and gases both. Four ideas carry the unit. Density is a property of the substance, not the sample. Pressure climbs with depth and depends on density, not on the shape of the container. The fluid pushes up on anything sitting in it, and a comparison of densities decides whether the object floats or sinks. And in moving fluid, a narrower channel speeds the flow while the faster flow drops the pressure.

Topics
Equations For every problem in this unit
Density
$\rho = \dfrac{m}{V}$
Pressure
$P = \dfrac{F_\perp}{A}$
Pressure at depth
$P = P_0 + \rho g h$
Gauge pressure
$P_\text{gauge} = \rho g h$
Buoyant force
$F_b = \rho V g$
Continuity
$A_1 v_1 = A_2 v_2$
Bernoulli's equation
$P_1 + \rho g y_1 + \dfrac{1}{2}\rho v_1^2 = P_2 + \rho g y_2 + \dfrac{1}{2}\rho v_2^2$
Unit 8 tools
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60 open-ended problems.

Read the question, work it out, then flip the card to compare your reasoning to the worked solution. Mark each card so you can return to the ones that still bite.

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