Newton’s Laws and Linear Momentum: Difference between revisions

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*[[Linear Momentum]]
 
*[[Newton's Second Law: the Momentum Principle]]
 
*[[Impulse and Momentum]]
==The Main Idea==
 
Linear momentum is a vector quantity which is defined by the product of an object's mass, generally denoted as the lowercase "m", and its velocity (a vector), v. Linear momentum is represented by the letter "p" and is generally referred to as momentum for short.
 
===A Mathematical Model===
====Single Particles====
Linear momentum is a vector quantity, like  velocity, possessing a direction as well as a magnitude:
:<math>\mathbf{p} = m \mathbf{v}</math>
where p is the vector stating the object's momentum in the three directions of space, and where v is the three-dimensional velocity vector giving the object's movement in each of these directions, and m is the object's mass.
 
====Multiple Particles====
The momentum of a system of particles is the sum of both particles' momentum (momenta). If the particles have masses m<sub>1</sub> and m<sub>2</sub>, respectively, and velocities v<sub>1</sub> and v<sub>2</sub>, the total momentum is:
:<math> \begin{align} p &= p_1 + p_2 \\
&= m_1 v_1 + m_2 v_2\,. \end{align} </math>
This model can be used to measure the momentum of a system of any amount of particles.
 
====In Relation to Newton's Second Law====
===A Computational Model===
 
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]
 
==Examples==
 
 
===Simple===
Find the momentum of a ball that has a mass of 69kg and is moving at <1,2,3> m/s.
[[File:momentumsimple.jpg]]
 
===Middling===
A car has 20,000 N of momentum.
How would the momentum of the car change if:
a) the car slowed to half of its speed?
b) the car completely stopped?
c) the car gained its original weight in luggage?
[[File:momentummiddling.jpg]]
 
===Difficult===
 
==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?
 
==History==
 
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 
== See also ==
 
*http://www.physicsbook.gatech.edu/Velocity
*http://www.physicsbook.gatech.edu/Mass
*http://www.physicsbook.gatech.edu/Vectors
*http://www.physicsbook.gatech.edu/Newton%E2%80%99s_Second_Law_of_Motion
 
===Further reading===
 
Chabay, Sherwood. (2015). Matter and Interactions (4th ed., Vol. 1). Raleigh, North Carolina: Wiley.
 
===External links===
 
*http://www.sparknotes.com/testprep/books/sat2/physics/chapter9section1.rhtml
 
==References==
 
This section contains the the references you used while writing this page
 
[[Category:Which Category did you place this in?]]

Latest revision as of 12:46, 23 May 2019

This page was redundant and has been removed. Its information has been incorporated into the pages below: