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b/PhysicsGravitationLabReport/main.tex index b1a3e94..4e7ae26 100644 --- a/PhysicsGravitationLabReport/main.tex +++ b/PhysicsGravitationLabReport/main.tex @@ -70,13 +70,13 @@ \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.\\ -Use the same simulation to determine the dependence of the gravitational force on the distance between the two masses.\\ - -Determine the experimental value of the universal gravitational constant (G). (This is what relates the gravitational force to the masses and distance rather than being these proportional. G must be included in your final equation.)\\ - -Determine an Equation for the Universal Law of Gravitation based on your data, using only symbols. +\begin {itemize} + \item 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. + \item Use the same simulation to determine the dependence of the gravitational force on the distance between the two masses. + \item Determine the experimental value of the universal gravitational constant (G). (This is what relates the gravitational force to the masses and distance rather than being these proportional. G must be included in your final equation.) + \item Determine an Equation for the Universal Law of Gravitation based on your data, using only symbols. +\end {itemize} \section*{Introduction} @@ -375,7 +375,7 @@ While all data was collected jointly, the five separate experimental setups can \end{tabularx} \end{table} -\subsection*{Analysis} +\subsection*{Discussion and Analysis} The first major observation that can be made using the raw data is that for all data points (in all 5 tables), \textbf{$F_{1\rightarrow2}$ (N)} = \textbf{$F_{2\rightarrow1}$ (N)}. This observation is \textbf{Newton's Third Law}, @@ -543,13 +543,20 @@ G = 6.67 \times 10^{-11}\,\text{N\,m}^2\text{/kg}^2 \label{eq:solvedNLUG} \end{equation} -et force acting on the block can be calculated using Newton's Second Law, which can be used to calculate the frictional coefficients. +the force acting on the block can be calculated using Newton's Second Law, which can be used to calculate the frictional coefficients. \section*{Conclusion} \subsection*{Error Analysis} - - +One major source of error within this lab is the assumption that the simulation is entirely functional in simulating gravitational attraction. +In an real-world scenario, there are other external forces (friction, air resistance, electromagnetic forces) that can impact the gravitational attraction, +and if the simulation doesn't not properly isolate the gravitational force, the final relationship and the calculated gravitational constants can be off. +Additionally, the small nature of $G$ means that minor errors in any input variables or rounding errors have a profound impact on the +calculated force and gravitational constant. Moreover, the simulation only offers discrete input increments for distance and mass, whereas +the scale (particularly for distance) is free to move at any point in the screen. Hence, the distance intervals may be slightly inaccurate +as they depend on teh accurate placing of the two objects based on teh scale. Offering continuos distance inputs would offer a slight improvement. +Due to the relatively high number of trials conducted, these errors are relatively negligible in finding proportionalities; however, they can significantly impact the calculation of $G$. +Hence, $G$ was calculated using the default values for distance, ensuring that there would be no innacuracy of the data point. \end{document}