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Dr. Pierce's Physics & Math
United States
Приєднався 30 сер 2012
Physics and math videos to help university and high school students. All videos, organized by topic, are linked here:
docs.google.com/document/d/1otn53ZoFtjXJZtjOSstPYU3XEgfd8cjSQuquRTIEQP4/edit?usp=drivesdk
The physics lessons are appropriate for undergraduates, or students of AP Physics C, AP Physics 2, AP Physics 1, or IB Programs. The math lessons range from Algebra 2 and precalculus through calculus and basic differential equations.
#apphysicsc #apphysics #precalculus #calculus
Copyright 2021, J.P. Pierce
docs.google.com/document/d/1otn53ZoFtjXJZtjOSstPYU3XEgfd8cjSQuquRTIEQP4/edit?usp=drivesdk
The physics lessons are appropriate for undergraduates, or students of AP Physics C, AP Physics 2, AP Physics 1, or IB Programs. The math lessons range from Algebra 2 and precalculus through calculus and basic differential equations.
#apphysicsc #apphysics #precalculus #calculus
Copyright 2021, J.P. Pierce
How to Add Vectors
To add vectors, follow this process. (1) Find all horizontal (x) components of the vectors and combine them. (2) Find all vertical (y) components of vectors and combine them. (3) The magnitude of the total (the net vector) can be found with the Pythagorean theorem. (Total^2 = (Total x)^2 + Totatl y)^2. (4) The direction of the total (the net vector) can be found using angle = tan^-1 (total y / total x). Vectors can also be added with the "tip-to-tail" or parallelogram method. These methods are general and will work for combining force vectors (finding net force), acceleration vectors, velocity vectors, displacement vectors, and so on.
Переглядів: 46
Відео
Physical Pendulum vs. Simple Pendulum
Переглядів 39Місяць тому
It appears that the motion of a physical pendulum will be emphasized more in A.P. Physics C next year. Here, we use torque to find the differential equations for the motion of the simple pendulum and the physical pendulum (a stick in this case), and use the resulting solutions to find the period of oscillation for both systems.
Linearization of Data for Science Labs & Experimental Design
Переглядів 1016 місяців тому
We discuss how to perform data linearization to determine experimental quantities from the slope and intercept of a data plot. This technique is useful for experimental design; it helps you choose what to measure and what to plot. We also discuss how to linearize an expected exponential behaivor witih a semilog (or semi-log) plot.
Crimes Against Physics: Pitfalls that will Drive your Physics Teacher Nuts and make a Clown of You
Переглядів 2068 місяців тому
These are mistakes that new physics students make. We will explore them and learn how to avoid them. (1) Thinking that g should be -9.8. (2) Thinking that the final velocity in a kinematics problem is zero if an object hits the ground. (3) Making up a fictitious "force of the acceleration." (4) Thinking of a centripetal force as an extra, magical type of force that should be drawn in a free bod...
Where Do Kinematic Equations for Constant Acceleration (Big Four) Come From? Motion Graphs and Area
Переглядів 1509 місяців тому
We show a graphical approach for deriving three of the big 4 kinematic equations for constant acceleration in physics. We use the idea that one can navigate from acceleration to velocity to position using areas under graphs and from position to velocity to acceleration using slopes. We also discuss when these equations should NOT be used and show a quick example of how to navigate between accel...
Motion Graphs in Physics - Position, Velocity, and Acceleration
Переглядів 14410 місяців тому
We show how to navigate between graphs of position, velocity, and acceleration graphs using slopes and areas. Understanding this aspect of one-dimensional motion (1D motion) is essential in introductory and advanced placement physics courses and can help build an early, conceptual understanding of topics in calculus (i.e., slopes (derivatives) and areas (related to integrals, or antiderivatives).
Transmitting Music with Visible Light - Using an LED to make an Optoisolator
Переглядів 83810 місяців тому
A simple physics-related project to broadcast music using an LED. Hook the audio outputs from a headphone jack up to a circuit with an LED that is being powered by a battery. The signal from the audio output will rapidly modulate the output (the brightness) of the LED. You can then use a photovoltaic cell (a solar cell).hooked to a voice amp, speaker, or crystal earphone to pick up the light si...
Introduction to Functions
Переглядів 16410 місяців тому
Functions are important in algebra and precalculus. They are operations that act upon a given input to change it into a single output. For instance, the function that adds three and then multiplies by 2 could be written as f(x) = 2(x 3). Functions cannot have more than one output per input. This means that a graph of a function must pass the so-called 5:36 vertical line test; a vertical line ca...
Introduction to Fourier Series - Adding Sine Waves to make Sawtooth, Square, and Triangle Waves
Переглядів 1,7 тис.Рік тому
We look at special functions that can be created by adding sine waves together. Algebra 2 students who have learned about the amplitude and period of graphed sine waves can begin to understand a bit about wave superposition and Fourier series by playing around a bit with Desmos and copying some of the patterns shown in the video. 1:15 Sawtooth Wave 3:00 Square Wave 4:25 Triangle Wave.
Solving Systems of Equations with Algebra and by finding Graph Intersections with a TI-84 Calculator
Переглядів 20Рік тому
We solve the system y = x 1 and y = (7x 15) ^ (0.5) with algebra (substitution) and by graphing and using the "intersect" function on a TI-84 calculator.
Review of Algebra 2: Parent Functions, Shifting Graphs, Radians, Trig Functions, Logarithms & More
Переглядів 249Рік тому
This is a quick review of ideas and themes we encountered in Algebra 2. We review the ideas of 0:48 functions, domain, range, 4:09 transformations of parent functions, 9:05 radian measure and trig functions, 15:43 logarithms, 20:14 undefined points, holes, asymptotes, and zeros of functions. In this video, we do not review factoring (ua-cam.com/video/nR0na7J_Mxs/v-deo.html), completing the squa...
Review of Mechanics: Main Ideas and Downloadable Review Sheet for Physics
Переглядів 511Рік тому
This is a review of main ideas from an introductory mechanics course with a context of a bunch of specific examples. Here is a link to a .pdf of a review packet to accompany the video: drive.google.com/file/d/1y2EbtboisyaLps16AkaKgP2u0dR37xda/view?usp=drivesdk This video is intended for students who have completed a course in mechanics (physics) and are getting ready to take final exams or stan...
Biot-Savart Law Example: Field along the Axis of a Current Loop
Переглядів 891Рік тому
We use the Biot Savart Law to find the magnetic field at a distance x along the axis of symmetry of a loop of current-carrying wire of radius R. We show the parts of the Law of Biot and Savart, including the current element (I dL), the radial vector (r), and the differential element of magnetic field (dB). In this example, it is useful to keep only the horizontal components of the magnetic fiel...
Magnets, Motion, and Motors - Interim Course 2023 Highlights
Переглядів 1,4 тис.Рік тому
These are some highlights from the 2023 interim program in which we made four different motors, a simple AM radio receiver, and learned about magnetic fields, magnetic flux, superconductivity and magnetic levitation.
Addition and Subtraction of Rational Functions by Finding a Common Denominator
Переглядів 142Рік тому
Addition and Subtraction of Rational Functions by Finding a Common Denominator
Zeros, Undefined Points, and Holes in Rational Functions
Переглядів 614Рік тому
Zeros, Undefined Points, and Holes in Rational Functions
Physics of the Slackline! Tension Forces in Slack Lines
Переглядів 815Рік тому
Physics of the Slackline! Tension Forces in Slack Lines
Function Notation f(x) and Functions of Functions f(g(x))
Переглядів 141Рік тому
Function Notation f(x) and Functions of Functions f(g(x))
Finding Currents with Ohm's Law in a Combination Circuit: Resistors in Parallel and in Series
Переглядів 63Рік тому
Finding Currents with Ohm's Law in a Combination Circuit: Resistors in Parallel and in Series
Finding Roots of Polynomial Functions Using ±(p/q) and Synthetic Division
Переглядів 2,1 тис.Рік тому
Finding Roots of Polynomial Functions Using ±(p/q) and Synthetic Division
Moment of Inertia of a Toilet Paper Roll, Thick Tube, or Annulus
Переглядів 2 тис.Рік тому
Moment of Inertia of a Toilet Paper Roll, Thick Tube, or Annulus
Review of Energy: Kinetic, Gravitational Potential, Spring Potential, and Energy Wasted by Friction
Переглядів 318Рік тому
Review of Energy: Kinetic, Gravitational Potential, Spring Potential, and Energy Wasted by Friction
Flying Pig: Uniform Circular Motion and Centripetal Force
Переглядів 5 тис.Рік тому
Flying Pig: Uniform Circular Motion and Centripetal Force
Projectile Motion & Kinematics: How to Handle Projectiles Launched Diagonally
Переглядів 328Рік тому
Projectile Motion & Kinematics: How to Handle Projectiles Launched Diagonally
Rolling Without Slipping Down an Incline - Sphere, Disk, and Ring on a Ramp Using Forces and Torque
Переглядів 3,1 тис.Рік тому
Rolling Without Slipping Down an Incline - Sphere, Disk, and Ring on a Ramp Using Forces and Torque
Angular Momentum Example: Ball Hits a Stick
Переглядів 1,1 тис.Рік тому
Angular Momentum Example: Ball Hits a Stick
Quick question can we use the first method of finding possible roots and plug each one into the equation to find all the roots or does it only work once?
It can find more than one rational root if the polynomial has more than one rational root. It will not find irrational or complex roots. Another strategy: if you find a rational root r, then (x-r) is a factor. You can divide the original polynomial by (x-r) and then work on finding the roots of the quotient, which will be one degree smaller (easier to solve!) than the original polynomial.
Thank you so much for this. We payed my summer school teacher 3k dollars to help me with algebra 2. She teaches us very hard methods and you just solved this problem for me in the easiest possible way. Thank you so much.
Tank you so much sir, ❤❤❤
You did what all my schooling teachers couldn't do
I love it. My favorite comment ever. I'm very happy it was helpful.
I really like the explanation ❤
Thanks it helped me so much!!
can you explain why you drew the 2nd vector like that? Isn't that counterintuitive to how its originally positioned?
Why use for example sin(πnx) instead of sin(nx), why is the π needed?
Just for style. I like it because a generic sine wave can be written as A sin ( [2pi/T ]x) or A sin( [2pi f] x) in which T is the period or f is the frequency (# of cycles per horizontal unit). Indeed,, you definitely don't have to do it the way I chose to.
This is a type of content for which i pays my internet bill for.THANKS a lot Dr.pierce
After a long time i finally FULLY got it! thank you 😊
Let's go! Terrific.
Thank you ! Very well illustrated !
I appreciate this! 👍
Is the Americium a solid or an encapsulated powder? Without thinking I blasted a malfunctioning one with compressed air and have been concerned since
It's solid. That should not be a problem. If I were in your situation, I would not worry at all. Nevertheless, it is best with all radioactive materials to minimize exposure. This is mainly an alpha emitter, but does have a decay product that is itself a beta emitter. I don't make a habit of playing around with the material, but your situation does not wound worrisome to me.
@@dr.piercesphysicsmath9071 Thanks for your reply. The detector is over 30 years old. The dust had a notably different smell, perhaps from being ionized? It's what made me realize afterwards it was probably a very bad idea. Would the dust I inhaled retain alpha or beta radioactivity for any length of time?
Is the program in the video available ?
It's just the Desmos graphing calculator. A Google search will pull it up pretty quickly.
@@dr.piercesphysicsmath9071 brilliant thank you for getting back to me. Great video helped a lot.
Thanks i was just looking for this. It helped a lot!!
Great 👍
Hey! What formula would you use to find tension of the strong for the first example?
Once you have "a" you can plug that back into T = m_1 a. Or you can plutlg it into m_2 g - T = m_2 a
@@dr.piercesphysicsmath9071 Thanks!
Wow as a Turkish student, it even worked for me to understand the reason behind this principle. Thnaks sir
Excellent! Hello from California.
Thank you for the vid!!
You are welcome! I hope it helped.
Man I love you. Still failed Physics II because of how unintuitive it is but thanks. This was awesome.
I appreciate it! Hopefully you get some good news in July about AP2. Good luck!
Such a nice explanation, I was looking for the conversion b/w various systems and this video was perfect for clearing my doubts regarding elemental analysis in different coordinate systems. Thank You!!
THANK YOUUUUUUUUUUUUUUUUUUU THANK YOU SO MUCH YOU SAVED MY ORAL PHYSICS PRESENTATION !!!! it was about the physics behind synthetic soundwaves !
Terrific! You chose an interesting topic. I'll bet people learned some good stuff from your presentation.
top 👏
This means it might be possible to generate current from the rotation of car wheels then use it to power the car.
True, but the resistance of the circuit would lead to some magnetic drag on the wheels. Good during braking, though! "Regenerative braking."
I’d like to take mp3s of my vocal music (Brahms, Schumann, Schubert, Wolf, Mozart, Bach) - translate them into light frequencies, then transmit my music into the universe. Perhaps to be decoded by other intelligent beings. Perhaps to travel 3.8 billion years to the big bang. Is this possible?
Definitely. On some level, this is already done with radio waves that are already sent out. The signal could also be piggybacked on a laser intensity and be sent out that way. I've been thinking of having a student try using a laser to transmit music down the hallway this way.
Thank you so much for the great video!!
You're very welcome. Thanks for the feedback. 👍
I wasn't understanding anything until you showed us (-b/2a), then everything made sense XD thank you!
Excellent. 👍
Thank you sir
Thats a really cool way to explain the concept, thanks a ton.
I appreciate your feedback. Hopefully the video helps a few folks!
Very very good vid helped me with my exam greatly deserves more views and subs for sure!
I'm happy to read that this helped! Excellent. Thank you for the kind note.
the volume of sphere is difined by [(4/3)*Pi*r3]??
Yes, it is. In this problem, we did not just multiply charge density by the total volume [ (4/3)pi Rcubed] because the charge density changes with radius. Instead we find a little bit of charge dQ = charge density * dV in which the charge density is given as r^2 and dV = 4pi r^2 dr and then add up all of the little bits of charge by integrating r^2 * 4pi r^2 dr
Professional explanation
I appreciate the feedback! Hopefully the video will help a few folks.
Thank you, Sir. Very clear explanation!!!!.
Excellent! You are welcome.
Thank you
You are welcome! 👍
Nice nose dude 👍
😀 yeah, the cylindrical section was a little far to reach without getting in the way. 👃 🤥 😀
this has helped me a lot, your efforts are greatly appreciated sir 🙂🙂
Terrific! I appreciate the feedback. It makes it worth the time it took to create and post the video. 👍
Thank you
You're welcome! 👍
That's awesome. Thank you sir .
Thanks for the note! You're welcome. 👍
Excellent breakdown
I appreciate the feedback. Thanks for the note. 👍
But that last ray can make any angle with the principal axis.How did you decide that angle because there are infinite lines that can go through optical center
The center of lens 2 and the point at the top of the image from lens 1 are two points that determine a line. That line can be followed back to lens 1 and then traced back to the top of the original object.
If I were to plot the log of fall time against the log of the mass, what should I expect the slope of the best-fit line to be for each model?
Thanks
You are very welcome. 👍
Thanks for the amazing explaination!!
Cool! Glad it helped. 👍
Amazing video!! Really helped me tremendously with my upcoming mid-term exam!
Very happy it helped!
my sympathies for your instructors having to grade that hand writing
Glad you enjoyed it! Thanks for tuning in. 👍
Excellent illustration.
Much appreciated! Thanks for the feedback. 👍
Good stuff, thank you. Lana Del Rey Lana Del Rey elo muh!!!
This video helped a lot. Thanks!
Terrific. 👍 I appreciate the feedback.
(♥_♥)
Thank you! very helpful in visualizing these concepts
Great! Happy to help. I appreciate rhe feedback. It makes it worth taking the time to post the video in the first place. 👍
Thanks for the video! This was such a great explanation! I finally understand it because of you mate! I'd seen other videos, but they seemed to mix the torque vs gravity force, and not focus on the existing angular momentum and T=dL/dt which is really what this is all about. Thanks! 🙏
Excellent! I had rhe exact same issue when I was learning this stuff as an undergrad. Very happy to read that this helped. 👍
Can someone explain to me the uses of imaginary roots?
Situations that arise in physics, engineering, math, econ, chem, and bio can lead to exponential behavior (e^kt). If the exponents (k) are imaginary, the system shows oscillatory behavior. If the exponents (k) are real, they show growth or decay. If they are complex (real and imaginary parts) the system shows both oscillation and growth/decay. The process of solving the differential equation can involve solving a quadratic "characteristic equation" for the exponents (k), just as one might solve a quadratic in Algebra 2 in 10th grade (in the US, anyway).