Vertically Oscillating Mass on Spring (Stephen)
Research Question and Hypothesis
How does the position of a mass hanging on a spring vary with time?
Standards
HS-PS2-1.
Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration.
Experimental Design
Use video analysis to measure the position of the mass in each video frame.
Independent variable
Time will be measured using the video time code.
Dependent variables
Position will be measured by setting a scale and coordinate system within the Tracker video analysis software.
Series
Not applicable
Constants and Controls
The spring constant will be kept constant. No control is needed.
Materials
spring
mass
camera
ring stand
Procedures
hang spring from ring stand
drop mass
record video
use tracker analyze the video and determine the position of the object in each frame.
Sample data and graphs
See the movies shown below.
Analysis & Conclusions
A sine function can be used to describe and predict the position of a mass oscillating vertically on a spring. The period of oscillation remains constant, despite the reduction in amplitude over time.
Photos & Movies
References
Simple Harmonic Motion - HyperPhysics
Bonus Longitudinal Study: Water Evaporation over 4 days
Research Question and Hypothesis
How does the volume of water change over four days in an uncovered graduated cylinder in a garage?
Constants and Controls
Temperature and humanity changed throughout the experiment.