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- Bungeemodel.mp4

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Author: video: kim kia, model: lookang
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Document Brief: Energy Transformations in Bungee Jumping Using Tracker

This document explores energy transformations during a simulated bungee jump, using the Tracker software for video analysis. The focus is on understanding how gravitational potential energy, kinetic energy, and elastic potential energy interact throughout the motion.

Purpose:

To provide students with an interactive method to analyze energy conservation and transformation in dynamic systems, emphasizing the principles of work and energy.

Key Features:

• Tracking the motion of a bungee mass to analyze its behavior during free fall and elastic extension.
• Visualization of total energy changes through synchronized graphs and video footage.
• Application of Hooke’s law and energy conservation principles in a real-world context.

Study Guide: Energy Transformations in a Bungee Jump

Learning Objectives:

1. Understand the relationship between gravitational potential energy, kinetic energy, and elastic potential energy.
2. Analyze motion data to identify key phases in a bungee jump: free fall, elastic extension, and rebound.
3. Validate energy conservation principles using graphical data.

Step-by-Step Guide:

1. Preparation and Calibration:

   • Import the video of the bungee jump into Tracker.
   • Set up the coordinate system and scale for accurate energy measurements.

2. Motion Tracking:

   • Identify the mass attached to the bungee and track its position frame by frame using Tracker tools.
   • Observe the plotted data points (red for mass position, green for energy) to correlate motion with energy states.

3. Graphical Analysis:

   • Examine the te (total energy) vs. time graph:
     • During free fall, gravitational potential energy decreases while kinetic energy increases.
     • At the point of maximum extension, kinetic energy is minimal, and elastic potential energy is maximized.
     • Energy oscillations during rebound indicate the interplay of elastic and gravitational forces.
   • Use the data to calculate spring constant kk and validate Hooke’s law F=kx

4. Applications:

   • Explore real-world scenarios where bungee dynamics are crucial, such as safety engineering.
   • Discuss energy losses due to damping and non-ideal conditions.

Tips for Success:

• Double-check the calibration to ensure data accuracy.
• Compare measured data with theoretical values to understand deviations.

FAQ: Bungee Energy Model Tracker

1. What is the purpose of this simulation?

To analyze how energy transforms during a bungee jump, demonstrating the principles of energy conservation and elastic dynamics.

2. Why is total energy not constant in the graph?

Ideally, total energy remains constant, but fluctuations may occur due to air resistance, heat dissipation, or inaccuracies in tracking.

3. How is elastic potential energy represented in the graph?

Elastic potential energy is reflected in the graph as peaks where the spring is maximally stretched.

4. What formulas are used to analyze the motion?

• Gravitational Potential Energy: GPE=mgh
• Kinetic Energy: \( KE = \frac{1}{2}mv^2\)
• Elastic Potential Energy:\( EPE= \frac{1}{2}kx^2 \)

5. Can we determine the spring constant kk?

Yes, using the extension data and Hooke’s law, kk can be calculated.

6. What are some real-world implications of this model?

This model is used to design safe bungee jumps by understanding energy transformations and ensuring the spring’s elastic limit is not exceeded.