Jan 4, 2022 ... The question set: https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap14_frq_Physics_C-M.pdf The scoring guidelines: ...Mar 26, 2023 ... 10:01 · Go to channel · A rant about the 2022 AP Physics C Mechanics test. Quantum•14K views · 5:26 · Go to channel · AP® Physic...We can refer to the AP® Student Score Distributions released every year by the College Board. The current version of AP® Physics 1 has only been offered since the 2014-2015 school year. These reports show us that the mean score in 2015 was 2.32, in 2016 was 2.33, in 2017 was 2.40, in 2018 was 2.36, in 2019 was 2.51, and 2.65 in 2020.Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ... to gravity. Fn , FN , N , “normal force”, “ground force”, or similar labels may be used for the normal force. Scoring Note: A response that includes extraneous vectors can earn a maximum of 1 point. Scoring Note: Horizontally displacing the F. N and Fg vectors slightly is permitted in order to. The College Board AP Physics C exam has 2 sections - Multiple choice questions section and free-response section. Section 1: The multiple choice question section has 35 questions and lasts for 45 minutes. Section 2: In the free-response section, a total of 3 questions are given and it lasts for 45 minutes. In both sections, you can score …Get is a good AP® Physics C: Mechanical score? Earning a 3, 4, or 5 is generally accepted as scoring well on an AP® audit. As stated by to College Board, a 3 is ‘qualified,’ a 4 ‘well qualified,’ and a 5 ‘extremely well qualified.’ Contingent on the college or university you plan to attend, credits may be awarded for scores within ...AP Physics; Physics C: Mechanics, Physics C: Electricity and Magnetism Course Description or “Terms Defined” in the AP Physics 1: Algebra-Based Course and Exam Description and the AP Physics 2: Algebra-Based Course and Exam Description. 5. The scoring guidelines typically show numerical results using the value g =9.8 m s2, but the use ofAssessment Overview. The AP Physics C: Mechanics Exam assesses student application of the science practices and understanding of the learning objectives outlined in the course framework. The exam is 1 hour and 30 minutes long and includes 35 multiple-choice questions and 3 free-response questions. A four-function, scientific, or graphing ...The AP Physics course is equivalent in content, depth, and complexity to an introductory physics course at the college level. This course is designed to prepare the student to excel on the AP Physics C: Mechanics exams offered in May. The course follows the AP curriculum closely. AP Physics is an in-depth, content-intensive study of physical ...Section 1: Multiple Choice Section. 35 MCQ in 45 minutes. Section 2: Free Response Section . 3 FRQ in 45 minutes. Timing is the main conflict when it comes to the AP Physics C: Mechanics exam. You must be extremely fluent with the topics and have practiced through dozens of problems to successfully complete the course.Everything You Need to get a 5 on AP Physics C: Mechanics . This guide will explore a selection of our best AP Physics C: Mechanics exam tips and advice designed to assist you in achieving a coveted score of 5 on the AP Physics C: Mechanics exam.AP Physics; Physics C: Mechanics, Physics C: Electricity and Magnetism Course Description. or “Terms Defined” in the . AP Physics 1: Algebra-Based Course and Exam Description . and the . AP Physics 2: Algebra-Based Course and Exam Description. 5. The scoring guidelines typically show numerical results using the value . g =9.8 m s. 2, but ...22.1K Likes, 154 Comments. TikTok video from Dylan Ott (@dylanott): “How to get a 5 on the AP Physics C: Mech AP exam (college app review in bio) #apexams #apphysics … AP® Physics C: Mechanics. Looking for an AP® Physics C: Mechanics score calculator? Click here for this and more tips for your test! Dive into intensive exam prep of calculus-based physics and review the many theories and applications of classical mechanics with Albert's AP® Physics C practice questions. From 1969 to 1972, AP Physics C was a single course with a single exam that covered all standard introductory university physics topics, including mechanics, fluids, electricity and magnetism, optics, and modern physics. [6] In 1973, the College Board split the course into AP Physics C: Mechanics and AP Physics C: Electricity and Magnetism.AP. PHYSICSC: MECHANICS FREE-RESPONSE QUESTIONS. (c) Plot the data points for the quantities indicated in part (b) on the graph below. Clearly scale and label all axes, including units if appropriate. Draw a straight line that best represents the data. (d) Using the straight line, calculate an experimental value for. The four AP Physics courses are: AP Physics 1: Algebra-based. AP Physics 2: Algebra-based. AP Physics C: Electricity and Magnetism. AP Physics C: Mechanics. While the AP Physics courses appear to function as a sequence, you don’t actually have to take AP Physics 1 and 2 before taking either of the AP Physics C courses. I also list equations NOT to memorize and ones which I suggest you know how to derive. Also a note about Moments of Inertia and the AP Exam. For the calculus based AP Physics C mechanics exam. Content Times: 0:22 Equations to Memorize. 2:06 Derivative as an Integral Example. 6:52 Equations NOT to memorize. 8:10 Equations to know how to derive. Also: the AP Physics C: Mechanics exam and class specifically allow you to use 10 m/s2 as the acceleration of gravity (when close to Earth’s surface). This is what I will use in the guides, because it simplifies some math and is specifically allowed, and won’t throw answers off that much from 9.81 m/s2 anyways. AP Physics C: Mechanics class overview. Advanced Placement (AP) Physics C: Mechanics is a college board endorsed, calculus-based course often tackled by high school students aspiring for physical sciences or engineering careers. This rigorous course is heavily focused on Newton’s laws of motion, linear momentum, work, energy, …Figure 1. Each blade has a length and mass , with a center of mass located at a distance L from the axis of. M. 3. rotation, as shown in Figure 2. (a) Derive an expression for the rotational inertia of the three-blade system. Express your answer in terms of , M. , and physical constants, as appropriate.AP® Physics C: Mechanics. Looking for an AP® Physics C: Mechanics score calculator? Click here for this and more tips for your test! Dive into intensive exam prep of calculus-based physics and review the many theories and applications of classical mechanics with Albert's AP® Physics C practice questions.With our score calculator, you can learn what you’ll need to score a 3, 4, or 5. AP® score calculators are a great way to motivate yourself when you’re studying. You can quickly realize how close you may be to getting the score you want. We recommend you run our calculator regularly in your AP® exam prep, so you can understand where you ...Section 1: Multiple Choice Section. 35 MCQ in 45 minutes. Section 2: Free Response Section . 3 FRQ in 45 minutes. Timing is the main conflict when it comes to the AP Physics C: Mechanics exam. You must be extremely fluent with the topics and have practiced through dozens of problems to successfully complete the course.You can find the AP Exam schedule here. The format of the AP® Physics C: Mechanics exam is detailed in the table below: Section. Section I: Multiple Choice Questions. Section II: Free Response Questions. Number of Questions. 35 questions of both discrete questions and question sets. 3 free response questions.Determine the value of t when the block comes to rest. A/2B. An object's position as a function of time is given by the equations y (t) = 8−2t−5t2. Determine the object's velocity as a function of time. v (t) = -2 - 10t. A particle's motion along the x-axis is defined by the function x (t) = 48t - t3.Calculator Policy. Equation Sheet. AP Physics C Scoring. How to Prepare. What’s on the AP Physics C exam? The College Board is very detailed in what they require your AP …Advertisement Record companies and recording artists, as well as the writers and publishers, all make money based on the sale of recordings of their songs. How those royalties are ...Get is a good AP® Physics C: Mechanical score? Earning a 3, 4, or 5 is generally accepted as scoring well on an AP® audit. As stated by to College Board, a 3 is ‘qualified,’ a 4 ‘well qualified,’ and a 5 ‘extremely well qualified.’ Contingent on the college or university you plan to attend, credits may be awarded for scores within ...Figure 1. Each blade has a length and mass , with a center of mass located at a distance L from the axis of. M. 3. rotation, as shown in Figure 2. (a) Derive an expression for the rotational inertia of the three-blade system. Express your answer in terms of , M. , and physical constants, as appropriate.Resources. AP Physics C: Mechanics explores essential concepts including kinematics, Newton’s laws of motion, work, energy, power, systems of particles, linear momentum, rotation, oscillations, and gravitation. Click through our free AP Physics C: Mechanics study guides and flashcards below: The only resource you need to get a 5 on the AP ...AP Teachers: Julie Hood & Angela Jensvold. The . AP Physics C: Mechanics Course and Exam Description. is the core document for an AP course. It clearly lays out course content and skills and describes the exam and AP Program in general. Students can access . AP Daily videos to help them learn and review course content and skills across all ...Since there is not much data for this exam, scores for the previous incarnation of these exams from 2011-2014 have been included for comparison. For Physics 1, 39.8% of test-takers passed, and 4.6% earned a 5. The scores were significantly better in Physics 2, where 61.4% of test-takers passed and 9.5% earned a 5.Scoring Notes: A response that references the torque due to the force at the axle staying the same can earn all 3 points. A response that references the torque due to the force on the axle changing, or any additional torques can earn a maximum of 2 points. Total for part (e) 3 points. Total for question 3. 15 points.Advertisement Record companies and recording artists, as well as the writers and publishers, all make money based on the sale of recordings of their songs. How those royalties are ...The AP Physics C Mechanics formula sheet is a reference guide provided to students during the AP Physics C exam. It contains a list of equations, constants, and other information that is relevant to the course. This …A mechanical barrier in the immune system is a primary line of defense, which physically impedes the entry of foreign particles that may harm the body. Common mechanical barriers i...Scoring Notes: A response that references the torque due to the force at the axle staying the same can earn all 3 points. A response that references the torque due to the force on the axle changing, or any additional torques can earn a maximum of 2 points. Total for part (e) 3 points. Total for question 3. 15 points.There are two major divisions of physics: classical and modern. Within classical physics, the major subdivisions are mechanics, thermodynamics, acoustics, optics, electricity and m...Dec 4, 2016 · Interested in taking the AP Physics C: Mechanics exam? Read on for a breakdown of the test and CollegeVine’s advice for how you can best prepare for it. The AP Physics C Mechanics exam is divided into two sections: multiple-choice (35 questions, 45 minutes) and free-response (3 questions, 45 minutes). The mean score for the AP Physics C Mechanics exam in 2022 was 3.41 out of 5. This is slightly higher than the mean score for all AP subjects in 2022, which was 2.92.Here you can find all the secret tips and resoucres that you must use to get a 5 on the AP Physics C: Mechanics exam!AP Physics C: Electricity and Magnetism Test 12: Calculating Electric Fields and Potentials Due to Continuous Charge Distributions AP Physics C: Electricity and Magnetism Test 13: Gauss's Law AP Physics C: Electricity and Magnetism Test 14: Analysis of Circuits Containing Batteries and ResistorsA LC circuit, which is one of the types of circuits studied in AP Physics C: E & M. Image Courtesy of University of Louisville Physics and Astronomy. AP Physics C: E & M is rightfully the harder of the two AP Physics C courses because of its conceptual nuance and the complex derivations, most of which require integration 😳 This course is …Resources. AP Physics C: Mechanics explores essential concepts including kinematics, Newton’s laws of motion, work, energy, power, systems of particles, linear momentum, rotation, oscillations, and gravitation. Click through our free AP Physics C: Mechanics study guides and flashcards below: The only resource you need to get a 5 on the AP ...Electric circuits. 4.) Magnetic fields. 5.) Electromagnetism. Exam Format: Each of the Physics C exams are 90 minutes long. This time is split equally between the multiple choice and free response sections. Each test has 35 multiple choice …Study with Quizlet and memorize flashcards containing terms like Kinematics, Relative Velocity, Vac =, Variables needed for projectile motion (X and Y) and more.MATCHES THE LATEST EXAM! In this hybrid year, let us supplement your AP classroom experience with this easy-to-follow study guide! The immensely popular 5 Steps to a 5 AP Physics C guide has been updated for the 2020-21 school year and now contains:. 3 full-length practice exams that reflect the latest exam; Up-to-Date Resources … AP® Physics C: Mechanics. Looking for an AP® Physics C: Mechanics score calculator? Click here for this and more tips for your test! Dive into intensive exam prep of calculus-based physics and review the many theories and applications of classical mechanics with Albert's AP® Physics C practice questions. 2022 AP Score Distributions. See how students performed on each AP Exam for the exams administered in 2022. PDF. 4.42 KB. 2023 AP score distribution tables show the percentages of 1s, 2s, 3s, 4s, and 5s for each AP subject for all AP students. When working as a mechanic, it is inevitable that you will accrue a wide variety of tools. These tools, when totaled together, can often be worth thousands of dollars and are diffi...So AP exam score has near zero impact in the admissions process unless it’s a tie and only one will be admitted and even then that’s sometimes. Your grade however will have a bigger impact. AP Physics C: Mechanics is a half-year course equivalent to a semester-long, introductory calculus-based college course.Get ready to ace your AP Physics C Exam with this easy-to-follow study guide 5 Steps to a 5: AP Physics C introduces an easy to follow, effective 5-step study plan to help you build the skills, knowledge, and test-taking confidence you need to achieve a high score on the exam. This essential guide reflects the latest course syllabus and ...I also list equations NOT to memorize and ones which I suggest you know how to derive. Also a note about Moments of Inertia and the AP Exam. For the calculus based AP Physics C mechanics exam. Content Times: 0:22 Equations to Memorize. 2:06 Derivative as an Integral Example. 6:52 Equations NOT to memorize. 8:10 Equations to know how to derive.5 ® Syllabus evelopment Guide: P ® Physics C: echanics Curricular Requirement The course covers Newtonian mechanics in depth and provides instruction in each of the following six content areas outlined in the Course Description: • Kinematics • Newton’s laws of motion • Work, energy, and powerTotal for part (b) point. points. C: Mechanics 2021 Scoring Guidelines. (c) For including the correct component of weight in a Newton’s second law equation for the cart. 1 point. Ffan + mg sin θ = ma 2. For a correct Newton’s second law equation.If this helps, think of physics as a form of communication that uses math as a language. Yes, math is necessary, but you don't have to be complex about the math to effectively …The Pentel mechanical pencils come in a variety of sizes and prices. Below are some of the best options for your small business. If you buy something through our links, we may earn... Assessment Overview. The AP Physics C: Mechanics Exam assesses student application of the science practices and understanding of the learning objectives outlined in the course framework. The exam is 1 hour and 30 minutes long and includes 35 multiple-choice questions and 3 free-response questions. A four-function, scientific, or graphing ... IV. V. The frame of reference of any problem is inertial unless otherwise. stated. The direction of current is the direction in which positive charges. would drift. The electric potential is zero at an infinite distance from an isolated. point charge. All batteries and meters are ideal unless otherwise stated.Electric circuits. 4.) Magnetic fields. 5.) Electromagnetism. Exam Format: Each of the Physics C exams are 90 minutes long. This time is split equally between the multiple choice and free response sections. Each test has 35 multiple choice …Colleges are generally looking for a 4 or 5, but some may grant credit for a 3. How well do you have to do to earn such a grade? Each test is curved, and specific cut-offs for each grade vary a little from year to year, but here’s a rough idea of how many points you must earn—as a percentage of the maximum possible raw score—to achieve each of the grades 2 through 5:Mar 15, 2024 · In 2023, the average score on the AP Physics C: Mechanics exam was 3.4. The average score on the AP Physics C: Electricity and Magnetism exam was 3.49. In addition to looking at the average scores, it’s helpful to consider the overall score distributions. On the Mechanics exam, 73.5% of students scored a 3 or higher: Jan 29, 2024 · Albert.io’s AP® Physics C: E & M score calculator was created to give you more insight into your progress while you are studying. Our score calculators are based on the official College Board exam materials, and they will help you properly budget your study time between the various exam sections. Being able to focus on your biggest ... Apr 20, 2023 · To calculate your likely Physics C: Mechanics score, use the sliders below to adjust the 1 multiple-choice section and 3 free response questions. The curve for this score calculator is based on the most recently available scoring guidelines. You may also want to check out our AP Physics C: E & M score calculator. Section I: Multiple-Choice. However, getting a 5 is not easy. About one third of the students taking the AP® Physics C Mechanics exam will get a 5. Make sure you are part of that exemplary class of students by following these instructions on how to study for the AP® Physics C Mechanics exam. You will need: Notes from class (if you took the class in high school)Image Courtesy of Unsplash. Are you searching for a 5️⃣ in AP Physics C: Mechanics? This exam is one of the toughest AP exams, but if you get a 5, there are immense benefits! In 2020, 40.9% of exam takers scored a 5. Here are a few tips to become part of that percentage 🤫. 1. Know the Exam Format.C. The conservation of angular momentum, because as her arms move in, her overall rotational inertia is lowered, therefore increasing her angular speed. Study with Quizlet and memorize flashcards containing terms like Two identical spheres of mass M are fastened to opposite ends of a rod of length 2L. The radii of the spheres are negligible ...Possible Answers: Apply more mass to the left end. Apply the same amount of mass to both ends. Apply more mass to the new position of the fulcrum. If the scale was initially balanced, moving the fulcrum will not change this. Apply more mass to the right end. Correct answer: Apply more mass to the left end. Explanation:There are two major divisions of physics: classical and modern. Within classical physics, the major subdivisions are mechanics, thermodynamics, acoustics, optics, electricity and m...Original free-response prompts for AP® Physics C: Mechanics that mimic the questions found on the real exam. Our expert authors also provide an exemplary response for each AP free response question so students can better understand what AP graders look for.Best answer is it depends. Let me be honest. I took AP Bio as a class Freshman year, didnt really study for the exam, and got a 5. I took AP Chem as a class sophomore year, didnt study for the exam, easily got a 5. Now, my school splits Physics C into two years - mechanics and E&M, and we take Mech first, Even having double the time, I ...AP Physics C Mechanics Score Calculator - Our AP Physics C Mechanics calculator will help you prepare for the May 2024 exam. The four AP Physics courses are: AP Physics 1: Algebra-based. AP Physics 2: Algebra-based. AP Physics C: Electricity and Magnetism. AP Physics C: Mechanics. While the AP Physics courses appear to function as a sequence, you don’t actually have to take AP Physics 1 and 2 before taking either of the AP Physics C courses. Electric circuits. 4.) Magnetic fields. 5.) Electromagnetism. Exam Format: Each of the Physics C exams are 90 minutes long. This time is split equally between the multiple choice and free response sections. Each test has 35 multiple choice questions and 3 free response questions.Everything You Need to get a 5 on AP Physics C: Mechanics . This guide will explore a selection of our best AP Physics C: Mechanics exam tips and advice designed to assist you in achieving a coveted score of 5 on the AP Physics C: Mechanics exam.Lecture Notes. Give. APC Review. My solutions to Free Response Question #2 from the 2012 AP Physics C: Mechanics Exam. Also included are my reflections on how to get perform better on the exam. Content Times: 0:22 Reading through part (c) 2:46 3 design ideas. 5:00 Answering part (a)We’ve revised those courses—alongside AP Physics C: Mechanics and AP Physics C: Electricity and Magnetism—to align the content and skills across the four AP Physics courses and provide more transparent, sequential frameworks for teachers and students. The revisions take effect with the 2024-25 school year (May 2025 AP Exams).When I was in elementary school I was briefly obsessed with mechanical music boxes. You know, the kind you have to wind up to get them to play. They’re simple and nice to have, and...With enough motivation and the right material, anyone can do well on the AP® Physics C: Mechanics exam and learn valuable problem-solving skills along the way. …Mar 23, 2021 ... In this AP Physics video, we go through the 2003 AP Physics C Mech 1 AP free response problem. We also go through the AP scoring rubric.Download AP Physics C: Mechanics Cheat Sheet PDF Cram Chart. 1 min read. 🌶️ AP Physics C: Mech Cram Review: Unit 1: Kinematics. streamed by Sam Reich. AP Physics C: Mechanics Cram Unit 1: Kinematics Slides. slides by Sam Reich. 🌶️ AP Physics C: Mech Cram Review: Unit 2: Newton's Laws of Motion (Dynamics)Dec 4, 2016 · Interested in taking the AP Physics C: Mechanics exam? Read on for a breakdown of the test and CollegeVine’s advice for how you can best prepare for it. Mar 26, 2023 ... 10:01 · Go to channel · A rant about the 2022 AP Physics C Mechanics test. Quantum•14K views · 5:26 · Go to channel · AP® Physic...The AP Physics C: Mechanics exam is 90 minutes long and has two parts. The first is a multiple-choice section, and the second is a free-response section. The multiple-choice section consists of 35 questions, accounting for 50% of the final score. The free-response section consists of three questions, accounting for 50% of the final score. AP® Physics C: Mechanics. Looking for an AP® Physics C: Mechanics score calculator? Click here for this and more tips for your test! Dive into intensive exam prep of calculus-based physics and review the many theories and applications of classical mechanics with Albert's AP® Physics C practice questions. t. e. Advanced Placement ( AP) Physics C: Electricity and Magnetism (also known as AP Physics C: E&M or AP E&M) is an introductory physics course administered by the College Board as part of its Advanced Placement program. It is intended to serve as a proxy for a second-semester calculus -based university course in electricity and magnetism.AP Physics; Physics C: Mechanics, Physics C: Electricity and Magnetism Course Description or “Terms Defined” in the AP Physics 1: Algebra-Based Course and Exam Description and the AP Physics 2: Algebra-Based Course and Exam Description. 5. The scoring guidelines typically show numerical results using the value g =9.8 m s2, but the use ofAP Physics; Physics C: Mechanics, Physics C: Electricity and Magnetism Course Description. or “Terms Defined” in the . AP Physics 1: Algebra-Based and AP Physics 2: Algebra-Based Course and Exam Description. 5. The scoring guidelines typically show numerical results using the value . g = 9.8 m s. 2, but use of 10 m s. 2. is of course also ...An AP Scholar with Distinction is a student who received an average score of 3.5 on all Advanced Placement exams taken and a score of 3 or higher on five or more exams. The AP Scho...
Hey there! It's excellent that you're setting a high goal for yourself with the AP Physics C Mechanics exam. I'll share some tips and resources that can help you achieve a 5. 1.. Average lot rent for mobile home in michigan
Mechanical energy helps humans perform manual tasks in an easier and more efficient manner, explains the Physics Classroom. Mechanical energy may be defined as a form of energy tha...With enough motivation and the right material, anyone can do well on the AP® Physics C: Mechanics exam and learn valuable problem-solving skills along the way. …Syllabus evelopment Guide: P ® Physics C: echanics Curricular Requirement The course covers Newtonian mechanics in depth and provides instruction in each of the following six content areas outlined in the Course Description: • Kinematics • Newton’s laws of motion • Work, energy, and power • Systems of particles, linear momentum Download AP Physics C: Mechanics Cheat Sheet PDF Cram Chart. 1 min read. 🌶️ AP Physics C: Mech Cram Review: Unit 1: Kinematics. streamed by Sam Reich. Example Solution. AP® Physics C: Mechanics 2023 Scoring Guidelines. (b)(ii) For a curve that increases and then decreases in value that is only concave down For a labeled maximum value consistent with the calculated value in part (b)(i) For the graph having values of 0 N at t = 0s and t = 0. 5s. Example Solution.An FPO/APO address is an official address used to send mail to a person stationed overseas while serving in the United States military. FPO stands for Fleet Post Office. APO stands...With enough motivation and the right material, anyone can do well on the AP® Physics C: Mechanics exam and learn valuable problem-solving skills along the way. …Explanation: Use the equation for the period of a simple pendulum: T = 2π L g−−√. Here, T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity in m s2. We can plug in the given quantities for length and acceleration to solve for the period. T = 2π 1 9.8− −−√ ≈ 2s.Original free-response prompts for AP® Physics C: Mechanics that mimic the questions found on the real exam. Our expert authors also provide an exemplary response for each AP free response question so students can better understand what AP graders look for.The AP test is a bit of a time crunch but it’s relatively easy, at least compared to the E&M test. Let's put it this way, 4 of the top 10 hardest AP tests are all 4 of the Physics courses. (AP 1, 2, C:mechanics, and C: electricity & magnetism). I have some questions before I recommend anything as a teacher:AP Physics; Physics C: Mechanics, Physics C: Electricity and Magnetism Course Description. or “Terms Defined” in the . AP Physics 1: Algebra-Based Course and Exam Description . and the . AP Physics 2: Algebra-Based Course and Exam Description. 5. The scoring guidelines typically show numerical results using the value . g =9.8 m s. 2, but ...C. The conservation of angular momentum, because as her arms move in, her overall rotational inertia is lowered, therefore increasing her angular speed. Study with Quizlet and memorize flashcards containing terms like Two identical spheres of mass M are fastened to opposite ends of a rod of length 2L. The radii of the spheres are negligible ....
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