AP Physics 1 2017 Free Response Solutions
TLDRThe video script offers an insightful analysis of the 2017 AP Physics 1 free response questions. The presenter, Dan Fullerton, methodically works through each question, providing clear explanations and strategies for tackling various physics problems. These include ranking potential differences in circuits, determining the battery usage rate, calculating the coefficient of static friction, analyzing angular momentum, and understanding wave superposition. The video is designed to help students approach these complex problems with confidence, offering both qualitative reasoning and quantitative calculations where appropriate.
Takeaways
- π The video discusses the 2017 AP Physics 1 free response questions, with the acknowledgment that the official scoring guides were not yet released at the time of recording.
- π In the circuit analysis question, light bulbs are considered as resistors, and the task is to rank the potential differences across different light bulbs from largest to smallest.
- π The battery life question revolves around understanding which circuit will use up its energy the fastest or slowest, with circuit three using the most power and circuit two using the least.
- ποΈ The static friction experiment involves describing a procedure to determine the coefficient of static friction between a flat wood board and a small wood block, including the derivation of the friction coefficient equation.
- π The angular momentum question explores the conservation of angular momentum during a collision between a rod and a disc, and the effect of the disc's position relative to the pivot point on the rod's angular speed.
- π The wave superposition question requires plotting the velocity of a point on a string as two wave pulses travel towards each other and eventually overlap.
- π The video emphasizes the importance of not getting stuck on a single question and moving on to ensure all possible points are earned before revisiting difficult parts.
- π― The speaker provides a detailed explanation of how to approach each question, including the rationale behind each step and the physical principles involved.
- π For the static friction experiment, the speaker suggests recording the applied force and the total mass of the block at the instant it begins to move to determine the coefficient of static friction.
- π The angular momentum conservation principle is used to derive the post-collision angular speed of the rod in part D, and to compare the outcomes of different collision scenarios in part E.
- π The video concludes with a question about the conservation of energy, discussing the horizontal distance traveled by blocks launched from different heights and the time it takes for them to hit the ground.
Q & A
What is the main topic of the video?
-The main topic of the video is the analysis of the 2017 AP Physics 1 free response questions.
Why does the speaker mention that they might miss a few points in their analysis?
-The speaker mentions that they might miss a few points because the official scoring guides have not yet been released at the time of their analysis.
What is the key concept in the first question regarding the circuits with light bulbs?
-The key concept is recognizing that light bulbs can be treated as resistors in the given circuits.
How does the speaker suggest approaching a question if you get stuck?
-The speaker suggests moving on to the next part of the question or the next question entirely if you get stuck, and then returning to the difficult part after attempting other parts.
What is the basis for ranking the potential differences across the light bulbs in the first question?
-The basis for ranking the potential differences is the configuration of the circuits, considering whether the light bulbs (resistors) are in series or parallel, and how the battery voltage is split across them.
Which circuit does the speaker identify as using the energy fastest and why?
-The speaker identifies circuit three as using energy the fastest because it has two light bulbs (resistors) wired in parallel, each experiencing the full battery voltage, leading to the greatest power dissipation.
How does the speaker describe the experiment to determine the coefficient of static friction?
-The speaker describes an experiment where a small wood block is placed on a flat wooden board, and a spring scale is used to apply force until the block begins to move. The force at the instant before the block moves is equal to the maximum static friction force.
What is the conclusion the students should make regarding the hypothesis that static and kinetic friction coefficients are equal, based on the data provided?
-The students should conclude that the static and kinetic friction coefficients are not equal, as indicated by the data which shows a significant difference between the two coefficients, with one anomalous data point from Lab group number five.
What is the speaker's recommendation for reducing experimental uncertainty in the static friction experiment?
-The speaker recommends repeating the experiment with various additional masses, plotting the applied force readings against the weight of the block and additional masses, and using the slope of that line to determine the coefficient of static friction.
How does the speaker explain the conservation of angular momentum in the context of the rod and disc collision?
-The speaker explains that angular momentum is conserved during the collision, and to maximize the rod's angular speed, the disc should hit the rod at the point that is the furthest possible distance from the pivot while still making contact.
What is the expected change in the post-collision angular speed of the rod if the disc bounces off instead of sticking to it?
-If the disc bounces off the rod, the post-collision angular speed of the rod is expected to be greater than if the disc sticks to it, due to the greater change in the angular momentum of the disc (and consequently the rod) because of the direction change.
Outlines
π AP Physics Exam Analysis - Circuits and Energy
The paragraph discusses the analysis of a 2017 AP Physics free response question focusing on circuits. The speaker, Dan Fullerton, explains three different circuits with varying setups of batteries and light bulbs, treating light bulbs as resistors. The main task involves ranking the potential differences across the light bulbs and determining which circuit's battery will run out of usable energy first and last. The speaker emphasizes the importance of not getting stuck on a single part and moving on to ensure all possible points are earned. The analysis includes a discussion on power dissipation and the impact of circuit configurations on energy usage. The speaker also provides an approach to writing a detailed response with equations and diagrams, although not explicitly written out in the video.
π Experiment Design for Static Friction Coefficient
This paragraph details an experiment to determine the coefficient of static friction between a flat wood board and a wood block. Two methods are discussed: one involving tilting the board until the block begins to slide, and the other using a spring scale to pull the block until it moves. The speaker outlines the procedure, including the equipment needed and the steps to take, as well as how to derive the equation for the coefficient of static friction. The paragraph also addresses how to reduce experimental uncertainty by plotting the applied force against the weight of the block and using the slope to find the coefficient of static friction. The speaker concludes with a discussion on whether static and kinetic friction coefficients are equal, noting that while they may appear the same, a detailed look at the data reveals discrepancies.
π Angular Momentum and Collision Analysis
The paragraph focuses on angular momentum in the context of a rod with a pivot point and a disc being thrown towards it. The speaker explains the qualitative reasoning for where the disc should hit the rod to maximize angular speed. The discussion then moves to evaluating a provided equation for post-collision angular speed and its consistency with the qualitative analysis. The speaker critiques an incorrect equation proposed by a student, highlighting physical sense and conservation of angular momentum as key to identifying the mistake. Finally, the speaker derives an equation for the post-collision angular speed of the rod, considering the disc's rotation and the rod's mass distribution. The impact of the disc bouncing off the rod versus sticking to it is also analyzed, noting a greater change in angular momentum and thus a higher angular velocity in the case of a bounce.
π Conservation of Energy - Block Launch and Slide
This paragraph presents a scenario where two teams launch blocks from different heights on slides and examines the distance each block travels after being released. The speaker explains that the block dropped from a higher point will travel further due to having more kinetic energy and a higher horizontal velocity. In a second experiment, the speaker discusses the distance each block travels when both are launched from the same height but on slides with different shapes. The explanation hinges on the conservation of energy and the fact that both blocks have the same amount of kinetic energy and are in the air for the same amount of time, resulting in them landing the same distance from their tables. The speaker also addresses which block will hit the floor first, attributing it to the quicker acceleration and earlier reach of the edge of the table for the block released from a steeper slope.
π Wave Superposition and Velocity Graph
The paragraph explores a wave question involving two pulses traveling in opposite directions on a string. The speaker describes the task of plotting the velocity of a specific point on the string as the pulses interact over time. A detailed graph is provided, showing the velocity of the string piece at Point P from the start to the end of the 5-second interval. The speaker then instructs on sketching the shape of the entire string at a specific time when the pulses are completely overlapped, emphasizing the importance of superposition in determining the final wave shape. The explanation focuses on the addition of wave values to derive the resultant waveform, which should be neatly presented in the sketch.
Mindmap
Keywords
π‘AP Physics
π‘Circuits
π‘Light Bulbs
π‘Potential Difference
π‘Power
π‘Static Friction
π‘Coefficient of Static Friction
π‘Angular Momentum
π‘Conservation of Angular Momentum
π‘Energy
π‘Wave Superposition
Highlights
The video discusses the 2017 AP Physics 1 free response questions.
The official scoring guides for the exam have not been released at the time of the video.
The exam is a Timed Exam, and it's important to manage time effectively, moving on if stuck on a question.
Light bulbs in circuits can be considered as resistors for the purpose of analyzing the circuits.
In part A of question 1, the task is to rank the potential differences across light bulbs from largest to smallest.
Circuit 3 will use the most power and run out of usable energy first due to the total battery voltage dropped across two resistors.
Circuit 2 uses the least power and will run out of usable energy last, with power dissipation calculated as half the voltage squared over R.
In question 2, the task is to design an experiment to determine the coefficient of static friction between a flat wood board and a small wood block.
The experiment involves attaching a spring scale to the block and pulling it until it just begins to move, recording the force at that instant.
The coefficient of static friction can be calculated using the force of static friction, which is equal to the applied force at the point of movement.
To reduce experimental uncertainty, the experiment can be repeated with various additional masses on the block, and the data plotted to find the slope, which gives the coefficient of static friction.
The conclusion that the coefficients of static and kinetic friction are not equal is drawn based on the data from different lab groups.
In question 3, the task is to determine the effect of a disc hitting a rod pivoted at a point, with the goal of maximizing the rod's angular speed.
The disc should hit the rod to the right of Point C to give the rod the most angular speed.
An equation for the post-collision angular speed of the rod is provided, and it is discussed whether it agrees with the qualitative reasoning from part A.
In part D, the equation derived by a student for the post-collision angular speed is found to be incorrect based on physical sense.
A correct equation for the post-collision angular speed of the rod is derived in part E, considering the conservation of angular momentum.
If the disc bounces off the rod instead of sticking to it, the post-collision angular speed of the rod is greater than when the disc sticks to it.
Question 4 involves designing a low friction slide to launch a block horizontally and discussing whether the blocks from two different teams land the same distance from their tables.
Block one, launched from a higher point, will travel further due to a greater horizontal velocity, despite both blocks being in the air for the same amount of time.
In a different experiment, both blocks land the same distance from their tables because they have the same initial gravitational potential energy and are in the air for the same time.
Block one hits the floor first because it reaches the edge of the table faster due to a steeper slope and more time at higher speed.
Question 5 is about wave superposition, where two wave pulses travel towards each other on a string, and the task is to plot the velocity of a point on the string over time.
The velocity of the point on the string changes due to the interaction of the two pulses, with the graph showing a pattern of positive and negative velocities over time.
At T equals 5 seconds, the pulses completely overlap, and the shape of the entire string is sketched, showing the result of the superposition of the two waves.
Transcripts
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