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#### Description:

This two-hour activity for high school physics was created to accompany the PhET simulation Masses & Springs. In the first lesson, students will use the simulation to explore how displacement of a spring is mathematically related to the load applied to it. In the next day's exploration, learners analyze the energy of a mass oscillating on a spring by observing distribution and transfer of kinetic, elastic potential, and gravitational potential energy. Materials include learning goals, explicit directions for use of the simulation, homework problems, and answer key. The spring motion simulation (which is required to complete this activity) is available from PhET at: Masses & Springs. This lesson is part of the PhET (Physics Education Technology Project), a large collection of free interactive science simulations.

#### Keywords:

Oscillations and Waves,NSDL,Undergraduate (Lower Division),oai:nsdl.org:2200/20130508142916680T,friction,harmonic oscillation,simple harmonic motion,springs,Classical Mechanics,spring constant,Damped Oscillators,Work and Energy,Grade 10,damping,Grade 12,Applications of Newton's Laws,Grade 11,Informal Education,Higher Education,High School,Grade 13,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-102,Conservation of Energy,Physics,Technical Education (Lower Division),spring energy,elastic potential energy,Engineering,Springs and Oscillators,Oscillations,Hooke's Law,Technology

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

None
Update Standards?

#### CCSS.Math.Content.7.RP.A: Common Core State Standards for Mathematics

Analyze proportional relationships and use them to solve real-world and mathematical problems.

#### CCSS.Math.Content.7.RP.A.2: Common Core State Standards for Mathematics

Recognize and represent proportional relationships between quantities.

#### CCSS.Math.Content.7.RP.A.2b: Common Core State Standards for Mathematics

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

#### 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.

#### CCSS.Math.Content.HSF-IF.B: Common Core State Standards for Mathematics

Interpret functions that arise in applications in terms of the context

#### CCSS.Math.Content.HSF-IF.B.4: Common Core State Standards for Mathematics

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.?

#### CCSS.Math.Content.HSF-IF.B.6: Common Core State Standards for Mathematics

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.?

#### CCSS.Math.Content.HSF-IF.C: Common Core State Standards for Mathematics

Analyze functions using different representations

#### CCSS.Math.Content.HSF-IF.C.9: Common Core State Standards for Mathematics

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

#### CCSS.Math.Content.HSF-LE.B: Common Core State Standards for Mathematics

Interpret expressions for functions in terms of the situation they model

#### CCSS.Math.Content.HSF-LE.B.5: Common Core State Standards for Mathematics

Interpret the parameters in a linear or exponential function in terms of a context.
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