Quiz Template

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\lhead{\textbf{PHYS 101 --- General Physics I}}
\rhead{\textbf{Quiz 3}}
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\setlength{\parindent}{0pt}
\setlength{\parskip}{6pt}

\newcounter{questionnum}
\newcommand{\question}[1]{%
  \stepcounter{questionnum}%
  \vspace{10pt}%
  {\large\bfseries Question \thequestionnum.} \hfill \textbf{[#1 points]}\\[4pt]
}

\newcommand{\choicelist}[4]{%
  \begin{enumerate}[label=\Alph*),nosep,leftmargin=20pt]
    \item #1
    \item #2
    \item #3
    \item #4
  \end{enumerate}
}

\begin{document}

\begin{center}
  {\LARGE\bfseries Quiz 3: Newton's Laws and Applications}\\[8pt]
  {\large PHYS 101 --- General Physics I}\\[4pt]
  {\large October 17, 2025}
\end{center}

\vspace{6pt}

\begin{tabularx}{\textwidth}{@{}X X@{}}
  \textbf{Name:} \hrulefill & \textbf{Student ID:} \hrulefill \\[10pt]
  \textbf{Section:} \hrulefill & \textbf{Instructor:} \hrulefill \\
\end{tabularx}

\vspace{6pt}
\hrule height 1pt
\vspace{6pt}

\begin{tabularx}{\textwidth}{@{}X r@{}}
  \textbf{Time Allowed:} 30 minutes &
  \textbf{Total Points: 50} \\
\end{tabularx}

\vspace{4pt}

{\small\textbf{Instructions:}
\begin{itemize}[nosep,leftmargin=*]
  \item For multiple choice questions, circle the letter of the best answer. No partial credit.
  \item For short answer and problems, show all work for full credit.
  \item You may use a scientific calculator. No phones, notes, or textbooks.
  \item Use $g = 9.8\;\text{m/s}^2$ unless otherwise stated.
\end{itemize}}

\vspace{4pt}
\hrule
\vspace{2pt}

\begin{center}
\small
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
\textbf{Q1} & \textbf{Q2} & \textbf{Q3} & \textbf{Q4} & \textbf{Q5} & \textbf{Q6} & \textbf{Total} \\
\hline
/5 & /5 & /5 & /5 & /15 & /15 & /50 \\
\hline
 & & & & & & \\
\hline
\end{tabular}
\end{center}

\vspace{4pt}

{\large\bfseries Part A: Multiple Choice} \hfill (20 points, 5 each)

\question{5}
A book rests on a horizontal table. Which of the following is the Newton's third law reaction force to the gravitational force acting on the book?

\choicelist
{The normal force of the table on the book.}
{The gravitational force of the book on the Earth.}
{The friction force between the book and the table.}
{The weight of the table acting on the floor.}

\question{5}
A \(5.0\;\text{kg}\) object is pushed across a frictionless surface by a constant horizontal force of \(20\;\text{N}\). What is the acceleration of the object?

\choicelist
{$2.0\;\text{m/s}^2$}
{$4.0\;\text{m/s}^2$}
{$9.8\;\text{m/s}^2$}
{$100\;\text{m/s}^2$}

\question{5}
An elevator accelerates upward at \(2.0\;\text{m/s}^2\). A person with mass \(70\;\text{kg}\) stands on a scale inside the elevator. What is the reading on the scale?

\choicelist
{$546\;\text{N}$}
{$686\;\text{N}$}
{$826\;\text{N}$}
{$140\;\text{N}$}

\question{5}
Two blocks are connected by a light string and pulled across a frictionless surface. If the total mass is \(m_1 + m_2\) and the applied force is \(F\), what is the tension \(T\) in the string between the blocks?

\choicelist
{$T = F$}
{$T = \dfrac{m_2}{m_1 + m_2}\,F$}
{$T = \dfrac{m_1}{m_1 + m_2}\,F$}
{$T = \dfrac{F}{2}$}

\vspace{8pt}
{\large\bfseries Part B: Short Answer and Problems} \hfill (30 points)

\question{15}
A block of mass $m = 8.0\;\text{kg}$ is placed on a rough inclined plane that makes an angle $\theta = 30^\circ$ with the horizontal. The coefficient of kinetic friction between the block and the surface is $\mu_k = 0.25$.

\begin{enumerate}[label=(\alph*)]
  \item Draw a complete free-body diagram for the block, labeling all forces. \textit{(3 pts)}

  \vspace{4.5cm}

  \item Calculate the normal force acting on the block. \textit{(4 pts)}

  \vspace{3.5cm}

  \item Calculate the acceleration of the block as it slides down the incline. \textit{(4 pts)}

  \vspace{3.5cm}

  \item If the block starts from rest, how fast is it moving after sliding $2.0\;\text{m}$ down the incline? \textit{(4 pts)}

  \vspace{3.5cm}
\end{enumerate}

\question{15}
Two blocks are connected by a massless string over a frictionless, massless pulley (an Atwood machine). Block 1 has mass $m_1 = 6.0\;\text{kg}$ and Block 2 has mass $m_2 = 4.0\;\text{kg}$.

\begin{enumerate}[label=(\alph*)]
  \item Draw free-body diagrams for each block. \textit{(3 pts)}

  \vspace{4cm}

  \item Applying Newton's second law to each block, write two equations relating the tension $T$ and acceleration $a$. \textit{(4 pts)}

  \vspace{3.5cm}

  \item Solve for the acceleration of the system. \textit{(4 pts)}

  \vspace{3.5cm}

  \item Solve for the tension in the string. \textit{(4 pts)}

  \vspace{3.5cm}
\end{enumerate}

\vfill

\begin{center}
  \textit{--- End of Quiz ---}\\[4pt]
  {\small Please check your work before submitting.}
\end{center}

\end{document}