From eacd6f7bc1a4a048e1352b740dd3354e2a035106 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Fri, 11 Mar 2022 21:15:23 +0100
Subject: Expand knowledge base

---
 content/know/concept/archimedes-principle/index.pdc | 11 +++++------
 1 file changed, 5 insertions(+), 6 deletions(-)

(limited to 'content/know/concept/archimedes-principle')

diff --git a/content/know/concept/archimedes-principle/index.pdc b/content/know/concept/archimedes-principle/index.pdc
index 3a063ec..fb91b67 100644
--- a/content/know/concept/archimedes-principle/index.pdc
+++ b/content/know/concept/archimedes-principle/index.pdc
@@ -39,7 +39,7 @@ $$\begin{aligned}
 Where $\va{g}$ is the gravitational field,
 and $\rho_\mathrm{b}$ is the density of the body.
 Meanwhile, the pressure $p$ of the surrounding fluid exerts a force
-on the surface $S$ of $V$:
+on the entire surface $S$ of $V$:
 
 $$\begin{aligned}
     \va{F}_p
@@ -75,18 +75,17 @@ and zero on the "non-submerged" side, we find:
 
 $$\begin{aligned}
     0
-    = \mathrm{g} (\rho_\mathrm{b} - \rho_\mathrm{f}) V
     = \mathrm{g} (m_\mathrm{b} - m_\mathrm{f})
 \end{aligned}$$
 
-In other words, the mass $m_\mathrm{b}$ of the submerged portion $V$ of the body,
+In other words, the mass $m_\mathrm{b}$ of the entire body
 is equal to the mass $m_\mathrm{f}$ of the fluid it displaces.
 This is the best-known version of Archimedes' principle.
 
-Note that if $\rho_\mathrm{b} > \rho_\mathrm{f}$, then,
+Note that if $\rho_\mathrm{b} > \rho_\mathrm{f}$,
+then the displaced mass $m_\mathrm{f} < m_\mathrm{b}$
 even if the entire body is submerged,
-the displaced mass $m_\mathrm{f} < m_\mathrm{b}$,
-and the object will continue to sink.
+and the object will therefore continue to sink.
 
 
 
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