Worksheets

worksheets/ApplyingNewtonLaws.tex

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+\documentclass[12pt]{article}
+
+\include{include/preambleworksheet}
+
+\begin{document}
+
+\begin{worksheet}{Physics Worksheet}{Applying Newton's Laws}
+
+
+\question[0cm]{Indicate below which of these forces are "real" forces and which are not. Explain the origin of each force and how that determines if the force is fictitious of not:}
+
+\questionpart[2cm]{Gravitational force on a person towards the centre of The Earth}
+
+\questionpart[2cm]{Centrifugal force on a mass swinging in a circle}
+
+\questionpart[2cm]{Inertial force on a mass attached to the cieling of an accelerating car via string}
+
+\questionpart[2cm]{Friction force on a beach-ball rolling on sand}
+
+
+
+
+\question[0.5cm]{Consider a block traveling along a counter clockwise along a circle that is slowing down. Draw the direction of the linear velocity $\vec{v}$, linear acceleration $\vec{a}$, angular velocity $\vec{\omega}$, and angular acceleratio $\vec{\alpha}$ for the block}
+
+\begin{tikzpicture}
+
+\draw[dash pattern=on 3pt off 2pt] (0,0) circle (2cm);
+\draw[fill=gray] (1.7,-0.3) rectangle (2.3, 0.3);
+\draw[line width = 2pt, color=black] (0,0)--(1.7,0);
+\end{tikzpicture}
+
+\newpage
+
+\question[5cm]{A present is placed at rest on a plane that is inclined, at a distance $L$ from the bottom of the incline that makes an angle $\theta$ with the ground. At the bottom of the incline, the box is determined to have a speed $v$. If the box is instead released from a distance of $4L$ from the bottom of the incline, what will its speed at the bottom of the incline be?}
+
+
+
+
+
+
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+
+
+
+\question[0cm]{Imagine you are swinging a bucket full of water attached to a rope in a vertical circle}
+
+
+\questionpart[4cm]{Where along the trajectory is the tension on the rope the highest?}
+
+\questionpart[4cm]{Why doesn't the water spill out of the bucket at the top of the circle? Give two explanations:}
+
+\questionpart[4cm]{What is the minimum speed required for the water to not spill out of the bucket?}
+
+
+
+
+
+
+
+\end{worksheet}
+
+\end{document}

worksheets/ApplyingNewtonLaws_Answers.tex

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+\documentclass[12pt]{article}
+
+\include{include/preambleworksheet}
+
+\begin{document}
+
+\begin{worksheet}{Physics Worksheet}{Applying Newton's Laws}
+
+
+\question[0cm]{Indicate below which of these forces are "real" forces and which are not. Explain the origin of each force and how that determines if the force is fictitious of not:}
+
+\questionpart[0cm]{Gravitational force on a person towards the centre of The Earth}
+
+\textbf{real}
+\vspace{1.5cm}
+
+\questionpart[0cm]{Centrifugal force on a mass swinging in a circle}
+
+\textbf{fake}
+\vspace{1.5cm}
+
+\questionpart[0cm]{Inertial force on a mass attached to the cieling of an accelerating car via string}
+
+\textbf{fake}
+\vspace{1.5cm}
+
+\questionpart[0cm]{Friction force on a beach-ball rolling on sand}
+
+\textbf{real}
+\vspace{1.5cm}
+
+
+\question[0.5cm]{Consider a block traveling along a counter clockwise along a circle that is slowing down. Draw the direction of the linear velocity $\vec{v}$, linear acceleration $\vec{a}$, angular velocity $\vec{\omega}$, and angular acceleratio $\vec{\alpha}$ for the block}
+
+\begin{tikzpicture}
+
+\draw[dash pattern=on 3pt off 2pt] (0,0) circle (2cm);
+\draw[fill=gray] (1.7,-0.3) rectangle (2.3, 0.3);
+\draw[line width = 2pt, color=black] (0,0)--(1.7,0);
+\end{tikzpicture}
+
+\textbf{$\vec{v}$ points up,  $\vec{a}$ points into the circle, $\vec{\omega}$ points out of the page, $\vec{\alpha}$ points into the page.}
+
+\newpage
+
+\question[0.5cm]{A present is placed at rest on a plane that is inclined, at a distance $L$ from the bottom of the incline that makes an angle $\theta$ with the ground. At the bottom of the incline, the box is determined to have a speed $v$. If the box is instead released from a distance of $4L$ from the bottom of the incline, what will its speed at the bottom of the incline be?}
+
+
+\textbf{$\vec{v_2} = 2\vec{v_1}$}
+
+
+\vspace{5cm}
+
+
+
+
+\question[0cm]{Imagine you are swinging a bucket full of water attached to a rope in a vertical circle}
+
+\questionpart[0cm]{Where along the trajectory is the tension on the rope the highest?}
+
+\textbf{At the bottom becuase the tension directly opposes the weight of the bucket}
+\vspace{4cm}
+
+\questionpart[0cm]{Why doesn't the water spill out of the bucket at the top of the circle? Give two explanations:}
+
+\textbf{1. The normal force, centripidal force and gravitational forces cancel each other out. 2. The water is actually in free-fall, however so is the bucket. and since they are in movement together the water stays within the bucket}
+\vspace{2cm}
+
+\questionpart[0cm]{What is the minimum speed required for the water to not spill out of the bucket?}
+
+
+\textbf{$v=\sqrt{gR}$ where R is the radius of the circular path the bucket is rotating around.}
+
+
+
+
+\end{worksheet}
+
+\end{document}

worksheets/Bforce.tex

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+\documentclass[12pt]{article}
+
+\include{include/preambleworksheet}
+
+\begin{document}
+
+\begin{worksheet}{Physics Worksheet}{Magnetic Force}
+
+
+\question[0cm]{The following questions concern Earth's magnetic field}
+
+\questionpart[7cm]{Draw a diagram of Earth and its magnetic field and the resulting field lines. Indicate where the north and south pole are}
+
+\questionpart[5cm]{A proton moves East in Earth’s magnetic field, which way is it deflected?}
+
+\questionpart[5cm]{An electron moves towards Earth in its magnetic field. Which was is it deflected?}
+
+\newpage
+
+\question[9cm]{Show that the force on a charged particle with charge $q$ and mass $m$ undergoing uniform circular motion when traveling perpindicular to a magnetic field $B$ is \par $\vec{F_B} = \frac{q^2 B^2 R}{m}$}
+
+
+
+
+\question[0cm]{Derive the equation for the amount of charge $Q$ going through a circular loop with radius $R$, experiencing a torque $T$ from a perpindicular magnetic field $B$ over a time $t$. What happens to the charge as time goes on assuming all other variables remain constant. Does your result make sense?}
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+
+
+
+\end{worksheet}
+
+\end{document}

worksheets/Bsource.tex

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+\documentclass[12pt]{article}
+
+\include{include/preambleworksheet}
+
+\begin{document}
+
+\begin{worksheet}{Physics Worksheet}{Magnetic Source}
+
+
+
+\question[5cm]{A coil is made of N loops of current-carrying wire packed closely together. What is the
+magnetic field at the centre of the coil?}
+
+\question[5cm]{What happens when two parallel wires are carrying charge in the same direction close to each other? Why?}
+
+
+
+\question[0cm]{Does  Amp\`ere's law prove that there is no magnetic field in a loop that encloses no current? Provide an example with a diagram where poor use of Amp\`ere's law might appear to give this result}
+
+\newpage
+
+\question[7cm]{Derive the current density of a solenoid of radius $R$ emitting a magnetic field $B$ with $N$ loops?}
+
+\question[7cm]{Derive the current density of a toroid of radius $R$ emitting a magnetic field $B$ with $N$ loops?}
+
+\question[0cm]{What would happen to the current density and the magnetic field of a solenoid, if you were to make the two ends meet and create a toroid, such that the radius of the toroid is equal to the radius of one of the loops from the solenoid?}
+
+
+
+
+\end{worksheet}
+
+\end{document}

worksheets/ChargesAndFields.tex

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+\documentclass[12pt]{article}
+
+\include{include/preambleworksheet}
+
+\begin{document}
+
+\begin{worksheet}{Physics Worksheet}{Electric Charges and Fields}
+
+\question[5cm]{How does a lightning rod work?}
+
+\question[5cm]{Show that the Coulomb Force is conservative}
+
+\question[5cm]{How much heavier would a proton have to be to counterect the repulsive field it exerts on a positive charge with it's gravitational field?}
+
+
+\newpage
+
+\question[0cm]{Imagine an electric $\vec{E}$ field poitning East and a diapole submerged within it.}
+
+\questionpart[6cm]{Draw a diagram of this, where there is a net torque on the diapole}
+
+\questionpart[6cm]{Draw the two equilibriem states the diapole can be in. Label which is stable, and which is unstable}
+
+
+\questionpart[0cm]{Which of the diagrams above has the highest, and the lowest potential energy}
+
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+
+
+\end{worksheet}
+
+
+\end{document}

worksheets/Circuits.tex

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+\documentclass[12pt]{article}
+
+\include{include/preambleworksheet}
+
+\begin{document}
+
+\begin{worksheet}{Physics Worksheet}{Electric Circuits}
+
+
+
+
+\question[0cm]{The follwing question concerns RLC circuits}
+
+\questionpart[5cm]{Search online and draw a diagram of an RLC circuit and indicate all the components}
+
+\questionpart[5cm]{Look up what the "equation of motion" of an RLC circuit is. What motion does this equation describe?}
+
+\questionpart[5cm]{What are RLC circuits used for?}
+
+\newpage
+
+
+
+
+\question[0cm]{What is the effective resistance of the below delta formation resistor if $R_1 = 1 \Omega$, $R_2 = 4 \Omega$, and $R_3 = 5 \Omega$. (Hint: look up "Delta-Wye Circuit Transformations")}
+
+
+
+
+
+
+
+\begin{circuitikz}
+    % Nodes
+    \draw
+    (0,0) node[anchor=east] {A} to[R=$R_{1}$] (3,0) node[anchor=west] {B}
+    to[R=$R_{2}$] (1.5,-2.6) node[below] {C}
+    to[R=$R_{3}$] (0,0);
+\end{circuitikz}
+
+
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+
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+
+
+\end{worksheet}
+
+
+\end{document}