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#### Description:

The EJS Roller Coaster model explores the relationship between kinetic, potential, and total energy as a cart travels along a roller coaster. Students can choose from five track configurations or create their own roller coaster curve and observe the resulting motion. As the simulation plays, energy bar graphs show the changing levels of kinetic and potential energy. Switch to "stepped motion" to see points at which both forms of energy reach maximum and minimum levels. Users can also control the initial speed of the cart and add friction, enabling the resource to be adaptable to a range of levels from middle school through high school. Editor's Note: Don't miss the lesson plan with accompanying student guide in "Supplementary Documents". See Annotations for additional background information on the physics of roller coasters, recommended by The Physics Front editors. This item was created with Easy Java Simulations (EJS), a modeling tool that allows users without formal programming experience to generate computer models and simulations.

#### Keywords:

NSDL,Motion in One Dimension,Grade 8,Grade 9,General Physics,Classical Mechanics,Grade 7,Work and Energy,Grade 10,Computational Physics,oai:nsdl.org:2200/20130508143142548T,Informal Education,Middle School,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-102,thermal energy,Conservation of Energy,kinetic energy,Physics,Computing and Information,roller coaster, friction, gravity, normal force,General,Engineering,High School,Technology

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

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Update Standards?

#### CCSS.Math.Practice.MP4: Common Core State Standards for Mathematics

Model with mathematics.

#### CCSS.Math.Content.6.RP.A: Common Core State Standards for Mathematics

Understand ratio concepts and use ratio reasoning to solve problems.

#### CCSS.Math.Content.6.RP.A.1: Common Core State Standards for Mathematics

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

#### CCSS.Math.Content.6.EE.B: Common Core State Standards for Mathematics

Reason about and solve one-variable equations and inequalities.

#### CCSS.Math.Content.6.EE.B.6: Common Core State Standards for Mathematics

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

#### CCSS.Math.Content.8.EE.A: Common Core State Standards for Mathematics

Work with radicals and integer exponents.

#### CCSS.Math.Content.8.EE.A.2: Common Core State Standards for Mathematics

Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that ?2 is irrational.

#### CCSS.Math.Content.8.F.B: Common Core State Standards for Mathematics

Use functions to model relationships between quantities.

#### CCSS.Math.Content.8.F.B.5: Common Core State Standards for Mathematics

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
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