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zBjM^Vqzttla8&M!Agu=f?29EiNid@)O1IM%b(j~;fXL&hVBqOlV$H5bk4Qt&5kfD! zcJ0O{%np$zBXF2YTYC@1xz!X`V}Z*lCj&XA6xuZ_+Rqf5pBZxoa|OIUu-2+{1dzxx zaU7@@^>|L3G`IUYK}evpq)9&V3hIpaZ0GQ*As*BQxTk-3?Iq4M^+4djTga2Bjp=Fk zs?%0L^Ijl?E&8HW8d0i8)hkdv?NV6=D6>n>o#0fP;Hi0nmvcd~+BLB-v?n? z8E7e^r^Mbs%zT|wTRbi+r5#qBH@V>gR5q>@SrR=06cB}asU7T diff --git a/PhysicsGravitationLabReport/main.tex b/PhysicsGravitationLabReport/main.tex index 8af9793..b1a3e94 100644 --- a/PhysicsGravitationLabReport/main.tex +++ b/PhysicsGravitationLabReport/main.tex @@ -543,31 +543,13 @@ G = 6.67 \times 10^{-11}\,\text{N\,m}^2\text{/kg}^2 \label{eq:solvedNLUG} \end{equation} -\section*{Error Analysis} - -The first major source of error lies in the method of raising the angle to the right amount. The acceleration of the raising of the block must be zero; otherwise, -the block may start to slide earlier than it should have. Hence, the raising of the block is assumed to be the major source of error in this experiment. -Alongside this, the human reaction time to accurately read the protractor within decent tolerance is also a source of error. -Since the coefficients of static and kinetic friction were calculated using $\tan{\theta}$ and involved precise decimal values, -inconsistency in the measured angles could result in either an overestimate or underestimate of the actual coefficients. - -\section*{Discussion} - -The physics concepts used in the lab are the coefficients of static and kinetic friction, which have major applications in the real world, specifically in materials science and engineering. -For example, understanding friction is crucial in designing systems like car wheels, where controlling the friction is vital to driving in different conditions (especially slippery roads). -Another such application of friction is in the design of screws, as the friction within threads is what allows them to hold materials together securely. Hence, a lower coefficient -of static friction would result in a looser screw, while a higher coefficient would result in a tighter screw, which can be crucial in construction, manufacturing, and architecture. -Understanding static and kinetic friction is not only important in product design but can be crucial to ensure safety in various applications, impacting everyday life. \\\\ -Another way that this lab can be carried out is by using a spring scale to directly meassure the force needed to start moving the block and keep it moving at a constant velocity. -This method would also accurate measure the coefficients of static and kinetic friction, although it may be prone to different sources of error. A second method this lab can be carried out -is by using a motion sensor to track the block's movement down the incline, and similar to the cart and ramp lab, the motion sensor can be used to derive the acceleration (by differentiating the velocity data). -From the acceleration, the net force acting on the block can be calculated using Newton's Second Law, which can be used to calculate the frictional coefficients. +et 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} + + -Through this lab, it was determined that the coefficient of static friction ($\mu_s$) of wood on metal is roughly \textbf{0.33}, and the coefficient of kinetic friction ($\mu_k$) is roughly \textbf{0.27}. -The coefficient of static friction can be compared to the established range $0.2-0.6$ for such surfaces. -The experimentally determined value falls within this range, indicating that the results are accurate and that the lab was completed successfully. \end{document}