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Stretchy Objects: Discovering When Hooke's Law Applies and When It Fails

13 viewsAdded 2026-07-01Updated 2026-07-23v5: This is the latest version.

Overview

Summary

Students find the limits—not confirmation—of Hooke's Law for everyday objects, making all experimental decisions and building skills in design, uncertainty analysis, and scientific argumentation.

Description

In this introductory physics lab, students design and execute a complete experiment within a single two-hour session to investigate the boundaries of Hooke's Law (F = −k∆y). Rather than confirming a known relationship, students select their own stretchy objects—springs, rubber bands, hair ties, or other everyday materials—and systematically determine the conditions under which the linear force-displacement model holds and where it breaks down. Students make all key experimental decisions: which variables to vary and control, how to measure forces and displacements, and how much data to collect for meaningful uncertainty. The session also develops research question literacy; students critique peer-proposed questions against five criteria (answerable, experimental, feasible, focused, generalizable) in preparation for a multi-week independent investigation. Assessment covers methods documentation, reproducible analysis, evidence-based argumentation with graphical communication, and scientific integrity practices including bias mitigation strategies.

Student Learning Objectives

By the end of this lab, students should be able to:

  • Decide which data to collect, including which variables to vary, which variables to control, and which variables to measure
  • Decide how to use equipment to make measurements including the amount data to collect to obtain desirable uncertainty in measured values
  • Reflect throughout the process by plotting as data are collected and evaluating the methods and data
  • Draw inferences from analyses conducted
  • Present conclusions, claims, and outcomes as arguments that are supported by and follow coherently from experimental data

Lab Profile

Experimentation Goals

These experimentation goals are most strongly represented in the explicit learning goals described above:

Design ProceduresRefine and Expand ProceduresMitigate Experimental BiasQuantify UncertaintyVisualize DataFit Models to DataDetermine Relationships

Student Decision Making

In this lab, students have the opportunity to:

Design ProceduresChoose AnalysisDecide PrecisionDecide When Done

Discovery

Determine results previously known to:

No One

Instructor Guide

Duration

1 session of 2 hours

Equipment Required

Basic Physics Lab EquipmentEveryday Items or Items From HomeComputers / Software

Implementation Tips

Pacing. The instructor guide suggests: 10 min critiquing research questions, 5 min introducing Hooke's Law, 30 min on a pilot experiment with rough analysis, 30 min on an improved or extended experiment, and 30 min on results and conclusions. The two-phase experiment structure (pilot then improved) is important — it gives students explicit permission to scrap and restart, which many won't do without that signal.

Materials. Provide a variety of springs and have students also bring everyday stretchy objects (rubber bands, hair ties, elastic fabric, bungee cords). Remind them the week before. Have electronic force probes and sets of known masses available so groups can choose their measurement method. Warn students not to overstretch springs.

Graphing. A Desmos template with built-in uncertainty bars and multi-option trendlines is available and saves significant time. Point students to it early so they can plot as they go, which reinforces the iterative design cycle.

Research question critique. Use real student-proposed questions from the previous week's follow-up. Sorting them by common concern (too vague, already known answer, not feasible) makes the critique more efficient than reviewing them one at a time.

Makeup option. Students who miss this lab can analyze data collected by one of the attending groups, preserving the analysis and argumentation goals even without the hands-on design experience.

How This Fits in Your Course

This is Lab 6 of 9 in an introductory physics lab sequence. It serves as a pivotal bridge between guided and independent work.

What comes before. Labs 1–3 (Pendulum) build foundational skills in measurement, uncertainty quantification, comparing data distributions, and interpreting t-scores. Labs 4–5 (Tossed Objects) introduce scientific integrity, bias mitigation, and sharing findings through short presentations. By Lab 6, students have practiced these skills in structured contexts and are ready to make most experimental decisions themselves.

What this lab does. It is the first time students design and execute a complete experiment from question to conclusion in a single session. It also formally introduces criteria for good research questions (answerable, experimental, feasible, focused, generalizable), which students then apply to critique peer-proposed questions.

What comes after. Labs 7–8 are a multi-week independent investigation in which each group pursues their own research question — the question-writing skills practiced in Lab 6 feed directly into this. Lab 9 is a final presentation. Lab 6 is thus designed as the transition point: the last instructor-defined topic and the launching pad for student-driven inquiry.

Prerequisite knowledge. Students should be comfortable with basic uncertainty estimation, graphing with error bars, and the concept of comparing data to a model. No prior knowledge of Hooke's Law is assumed — it is introduced during the session.

Files & Links (4)

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2025-04 (Au) 117-121 lab schedule.docx

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Au25 Lab 6 Stretchy objects - Instructor.docx

Instructor Supplement336 KB
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Lab 6 Stretchy objects - Research questions.docx

Hands-on Lab9 KB
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Lab 6 Stretchy objects - Sample (Au25 ).pptx

Lecture or Mini-lecture386 KB

Sample Slides for Lab

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Authors

RS

Rachel Scherr

LB

Lauren Bauman

AM

Adrian Madsen

Physics Topics

Classical Mechanics

Course Level

Introductory

Student Population

Physics MajorsEngineering MajorsLife science MajorsOther STEM Majors

License

CC BY-NC-SA

Attribution, Non-Commercial, Share Alike. Others can share and adapt for non-commercial purposes, must attribute and share with the same license.

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