Finished procedures

PhysicsGravitationLabReport/main.tex

@@ -25,7 +25,7 @@
 
 
 \titleformat{\section} % top-level section
-  {\Large\bfseries\scshape} % Large font, bold, small caps
+  {\LARGE\bfseries\scshape} % Large font, bold, small caps
   {\thesection} % shows 1, 2, 3, ...
   {1em} % spacing between number and title
   {}
@@ -63,7 +63,7 @@
 \textbf{Date:} 16 November 2025
 % ---------- MAIN DOCUMENT ----------
 
-% Acknowledgment
+
 \section*{Objectives}
 Use the \href{http://phet.colorado.edu/sims/html/gravity-force-lab/latest/gravity-force-lab_en.html}{Gravitational force simulation} to determine the dependence of the gravitational force on the mass of the objects involved.\\
 
@@ -108,45 +108,80 @@ the relationship of proportionality proposed by Newton, and the collected data w
 universal Gravitational constant, $G$.
 
 
+\subsection*{Research Problem}
+The research objective for this project is to verify the gravitational relationship between two objects and verify the
+constant $G$. The primary problem of investigation is that theoretical mathematics often fails to adequately capture
+a true relationship in the real world. Moreover, using physical objects and tools of measurements can result in
+unwanted noisy data and is limited by the precision of measurement. Ergo, a simulation bridges this gap, 
+allowing for an accurate verification of NLUG.
 
 
 
 
+\section*{Methodology}
+\subsection*{Materials and Resources}
 
-\section*{Materials}
+As this lab was performed within a simulation, all physical materials are limited to a computer with at least 400 MB of memory to render the simulation.
 
-The following methods and apparatus were used to determine the coefficients of static and kinetic friction:\\
+Within the simulation, the simulated materials include
 \begin{itemize}
-    \item 119g Wooden block
-    \item Adjustable angle metal inclined plane with protractor
+    \item Adjustable Mass, $m_1$
+    \item Adjustable Mass, $m_2$
+    \item 10 Meter Scale
+    \item Automatic Force Scale to Measure Gravitational Attraction
+    \item Two simulated people holding $m_1$ and $m_2$ from colliding into each other due to gravitation
 \end{itemize}
 
 
-\section*{Procedure}
-\begin{enumerate}
-    \item Set the plane angle to $0^\circ$ and place the block at the far end, roughly 10 cm from the edge.
-    \item Slowly raise the plane and stop when the block starts to slide down.
-    \item Record the angle value in a data table under \textbf{static friction}.
-    \item Repeat steps 1--3 five times, then take the average of the angles. This average angle will be used to calculate static friction.
-    \item Repeat step 1.
-    \item Slowly raise the plane while tapping the edge to overcome the static friction. Stop when the block starts to slide down the ramp without slowing down.
-    \item Record the angle value in a data table under \textbf{kinetic friction}.
-    \item Repeat steps 5--7 five times, then take the average of the angles for kinetic friction.
-\end{enumerate}
-
-\section*{Experimental Setup}
+\subsection*{Experimental Setup}
 
 \begin{figure}[h!] % h! = “here” placement
     \centering
-    \includegraphics[width=0.7\textwidth]{Sketch} % <-- your image file name
-    \caption{Experimental setup for measuring static and kinetic friction using an inclined plane.}
+    \includegraphics[width=0.7\textwidth]{ExperimentalSetup} % <-- your image file name
+    \caption{Experimental setup for the gravity simulation}
     \label{fig:friction_setup}
 \end{figure}
 
-\newpage
+Note that in Figure \ref{fig:friction_setup}, all inputs (independent variables) are denoted in blue, whereas outputs (dependent variables) are denoted in red
+
+
+\subsection*{Procedure}
+\begin{enumerate}
+    \item Set the location of mass 1 to exactly 2 meters on the scale, and set mass 2 to exactly 6 meters on the scale, with a distance between of 4 meters
+    \item Set the mass of objects 1 and 2 to exactly 100 kg
+    \item Set the force values to scientific notation, and uncheck the option for masses of constant size
+    \item Leaving the mass of $m_2$ constant, change the mass of $m_1$ to be the values listed below, and record both the force on $m_1$ by $m_2$ and the force on $m_2$ by $m_1$
+      \subitem Mass values for $m_1$ (kg): 50, 100, 250, 500, 750, 1000
+    \item Reset the simulation as detailed by steps 1-3
+    \item Leaving the mass of $m_1$ constant, change the mass of $m_2$ to be the values listed below, and record both the force on $m_1$ by $m_2$ and the force on $m_2$ by $m_1$
+      \subitem Mass values for $m_2$ (kg): 50, 100, 250, 500, 750, 1000
+    \item Reset the simulation as detailed by steps 1-3
+    \item Change the masses of both $m_1$ and $m_2$ to be the values listed below, and record both the force on $m_1$ by $m_2$ and the force on $m_2$ by $m_1$
+      \subitem Mass values for $m_1$ and $m_2$ (kg): 50, 100, 250, 500, 750, 1000
+    \item Reset the simulation as detailed by steps 1-3
+    \item Leave $m_2$ at 10 meters on the scale (align the black dot for center of mass), and move $m_1$ based on its center to the below values on the scale, and record both the force on $m_1$ by $m_2$ and the force on $m_2$ by $m_1$
+    \subitem Position values for $m_1$ (m): 0, 2, 4, 6, 8
+    \item Reset the simulation as detailed by steps 1-3
+    \item Leave $m_1$ at 0 meters on the scale (align the black dot for center of mass), and move $m_2$ based on its center to the below values on the scale, and record both the force on $m_1$ by $m_2$ and the force on $m_2$ by $m_1$
+    \subitem Position values for $m_1$ (m): 10, 8, 6, 4, 2
+
+\end{enumerate}
+
+Note that the above steps require the following raw data the be collected at each datapoint
+
+\begin{itemize}
+  \item Position of the center of mass of $m_1$, (m)
+  \item Position of the center of mass of $m_2$, (m)
+  \item Mass of $m_1$, (kg)
+  \item Mass of $m_2$, (kg)
+  \item Force on $m_1$ by $m_2$, (N)
+  \item Force on $m_2$ by $m_1$, (N)
+\end{itemize}
 
 \section*{Results}
 
+\subsection*{Raw Data}
+
 \begin{table}[h!]
 \centering
 \caption{Measured critical angles for static and kinetic friction.}