Newton's Second Law of Motion: Difference between revisions
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==The Main Idea== | ==The Main Idea== | ||
Newton's second law of motion states the explicit relationship between force on an object and the change in its momentum with respect to time. | |||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
Momentum Form: | |||
<math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | |||
Acceleration form: | |||
<math>{vec{F}_{net} = {m}{vec{a}}</math> | |||
===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 14:23, 20 November 2015
This topic covers Newton's Second Law of Motion.
The Main Idea
Newton's second law of motion states the explicit relationship between force on an object and the change in its momentum with respect to time.
A Mathematical Model
Momentum Form: [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
Acceleration form: [math]\displaystyle{ {vec{F}_{net} = {m}{vec{a}} }[/math]
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
I am very interested in physical interactions on a celestial scale. From the inteactions between planets and there moons to how entire galaxies move, Newton's second law if vital to describing and understanding these interactions.
- How is it connected to your major?
As an Aerospace Engineer, mechanics as a whole is a vital tool when designing any device or form of machinery. Knowing how your work with interact with its surroundings is very necessary within all fields of engineering.
- Is there an interesting industrial application?
Every moving part in every machine ever built is bound by Newton's second law.
History
Who:Isaac Newton working off of Kepler's "Law of Constant Area" and the principle of Galilean Relativity (http://physics.ucr.edu/~wudka/Physics7/Notes_www/node47.html).
What:Newton established a direct relationship between force and the second derivative of position (acceleration).
Where:Cambridge within his work titled: "Philosophiae Naturalis Principia Mathematica"
When:1687
Why:Because SCIENCE.
See also
Sir Isaac Newton: http://www.physicsbook.gatech.edu/Sir_Isaac_Newton
Newton's First Law: http://www.physicsbook.gatech.edu/Newton%27s_First_Law_of_Motion
Mass: http://www.physicsbook.gatech.edu/Mass
Further reading
NASA's Explanation: https://www.grc.nasa.gov/www/K-12/airplane/newton2.html
Study.com's lesson: http://study.com/academy/lesson/newtons-second-law-of-motion-the-relationship-between-force-and-acceleration.html
External links
Mandatory Khan Academy link: https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-second-law-of-motion
References
http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.
Page Created by: Joshua Ingersoll November 20, 2015 <-- For Credit