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Momentum One Dimension Collision Model
The motion of a body of mass m and velocity v is described by a vector quantity known as momentum p where
p = m v
When objects collide, whether trains, cars, billiard balls, shopping carts, or your foot and the sidewalk, the results can be complicated. Yet even in the most chaotic of collisions, as long as there are no net external forces acting on the colliding objects, one principle always holds and provides an excellent tool for understanding the collision. That principle is called the conservation of linear momentum which states that
The total momentum of a system remains constant provided that no external resultant force acts on the system
For two bodies colliding linearly, it is written mathematically as a vector equation
Total initial momentum = total final momentum
m1.u1 + m2.u2 = m1.v1 + m2.v2
If external forces (such as friction) are ignored, the total momentum of two carts prior to a collision (left side of equation) is the same as the total momentum of the carts after the collision (right side of equation).
Collisions are classified into elastic (or perfectly elastic), inelastic and completely inelastic.
There is also a concept of kinetic energy of a moving body is stated mathematically by the following equation:
KE1 = ½ m1.v12
Main Simulation View
The simulation has 2 collision carts on frictionless floor and wheels.
Explore the sliders allows varying the variables .
* mass of cart ONE, mass_1, m1 in kg
* initial velocity of cart ONE, u1 in m/s
* mass of cart TWO, mass_2, m2 in kg
* initial velocity of cart TWO, u2 in m/s
Allows for selecting what kind of collision is simulated.
A Perfectly elastic collision is defined as one in which both conservation of momentum and conservation of kinetic energy are observed
A Perfectly Inelastic collision is defined as one in which conservation of momentum is observed but the colliding carts stick together after collision with kinetic energy loss
show: velocity, for visualizing the velocity vector
plot momentum vs time graph, for different representation of data for momentum of cart 1, 2 and both.
plot kinetic energy vs time graph, for different representation of data for kinetic energy of cart 1, 2 and both.
hint: COM, for the equation of conservation of momentum
hint: COKE, or the equation of conservation of kinetic energy
have their usual meaning.
Astro Academy: Principia - Collisions by National Space Academy
Ejs open source java applet 1D collision carts Elastic and Inelastic Collision by lookang lawrence wee
Ejs open source java applet 1D collision carts Elastic and Inelastic Collision v2 by lookang lawrence wee
- Momentum1D01momAJCPBI Worksheet_Dynamics_2012_final.docx
- Momentum1D01momAJCPBI Worksheet_Dynamics_2012_final_soln.docx
- Momentum1D01momRVHSP06 EduLabs (st).doc
- Momentum1D01momRVHSP06 EduLabs v3 (tr).docx
- Momentum1D01momSRJCPre- and Post-test (final).docx
- Momentum1D01momYJC2016 JC1 H1 Phy HBL (teacher) - Collision Carts Model.pdf
- Momentum1D01momYJCPWS 7 - Understanding Newton's 3rd law & COM using EJS (Student).doc
- Momentum1D01momYJCPWS 7 - Understanding Newton's 3rd law & COM using EJS (Teaching notes).doc
- http://weelookang.blogspot.sg/2012/02/ejs-open-source-collision-carts-model.html Java version of the Ejs Open Source Collision Carts Model with AJC and RVHS
- http://iwant2study.org/lookangejss/02_newtonianmechanics_3dynamics/ejs/ejs_model_Momentum1DForceModel09.jar Java version of simulation on Digital Library
- arXiv:1204.4964 [pdf, other]
One-dimensional collision carts computer model and its design ideas for productive experiential learningComments: 6 pages, 8 figures, 1 table, 1 L. K. Wee, Physics Education 47 (3), 301 (2012); ISSN 0031-9120Journal-ref: Physics Education, 47(3), 301 (2012)Subjects: Physics Education (physics.ed-ph); Classical Physics (physics.class-ph); Computational Physics (physics.comp-ph)
- http://www.walter-fendt.de/html5/phen/collision_en.htm Collision Carts by Walter Fendt
- http://www.physicsclassroom.com/Physics-Interactives/Momentum-and-Collisions/Collision-Carts Collision Carts by Physicsclassroom
- http://weelookang.blogspot.sg/2014/11/ejss-collision-model-by-dave-lommen.html EJSS collision model by Dave Lommen
- http://weelookang.blogspot.sg/2014/07/ejs-1d-collision-model-with-virtual.html EJS 1D collision model with virtual spring model by Fu-Kwun Hwang and Loo Kang Wee
- https://phet.colorado.edu/en/simulation/collision-lab Collision Lab by PhET
- http://www.opensourcephysics.org/items/detail.cfm?ID=14162 International Space Station: Collisions Video Analysis with Tracker by Tim Peake, Robin Mobbs, Anu Ojha, Andy McMurry, and Sophie Allan