15.4.2: Buoyancy

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Jan 11, 2024
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- 15.4.1: Hydrostatics
- 15.4.3: Hydrodynamics

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Following Olivia's thoughts, we assume that an object will displace an amount of water $V_W$ such that the weight of water displaced is equal to the weight of the object. Let's test her first statement that an object with density equal to water, $\rho_O/\rho_W=1$ , will displace a volume equal to the object. $V_W/V_O=1$ . To do this

Select the "Intro" simulation and choose a custom object.
Set the object's mass and volume to equal values so that $\rho_O=m_O/V_O = 1 kg/L$ . Note this is the same density as water.
Does your observation agree with Olivia?

Test her other hypotheses.

$\rho_O/\rho_W=0.5 \rightarrow V_W/V_O = 0.5$
$\rho_O/\rho_W=1.5 \rightarrow V_W/V_O = 1.5$

Do you draw the same conclusions as Olivia?

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