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As the lead engineers for a new bungee jumping attraction, you have been tasked with designing a proof of concept for this high precision thrill ride.
Your Task
Your Task
Design and build a bungee jump that, when dropped from a predetermined height, stamps a mark on a raw egg [maybe] without breaking it.
Considerations
Considerations
Every group will be provided with a different Jumper / 'Barbie' to use as your elastic portion of the bungee system.
You will be granted the opportunity for one practice round with a golf ball before attempting to stamp your ball
The Set Up
The Set Up
Our bungee jump consists of a spring connected to a non-elastic rope that can be adjusted for the conditions. All the measurements are laid out in the diagram to the left.
The Energy
The Energy
The 'Barbie' will be dropped from a height right below the resting length of the unextended spring and (hopefully) come to a stop at the top of the egg (height of 0 m).
Determine the conservation of energy equation representing these initial and final conditions
The Spring
The Spring
Choose a number of rubber bands/mass of 'Barbie' combination from the collection provided. Record the ID number below.
Determine the spring constant of your rubber bands.
The slope of the trendline should be equal to the spring constant of your rubberband in N/m
The Rope
The Rope
Based on your provided values, spring properties, and conservation of energy equation, calculate the stretch of the spring and how much non-elastic string is required for the bungee jump to go as planned. When everything is calculated, measure and build your bungee system.
Lab Write-up
Lab Write-up
Introduction - 4 marks
Use your notes and summarize, in a paragraph and energy PIE charts, the energy changes that occur when Barbie falls. Be sure to cover 4 phases.
Barbie is falling and the rope is not yet taut.
The rope is taut, but the spring has not been stretched
The spring stretches
Barbie reaches the bottom of her fall. Also, note where K, U_S and U_g are at their maximum and minimum values.
Procedure - 6 marks
Complete the following table for measurements that you will need to make, symbols you will use and devices you will need to make the measurements.
Using the information from the table above, write a procedure in the OAIM Format.
Data - 4 marks
Complete the data table to the right.
Plot your RAW data.
Linearize your data if necessary. Determine the slope [numeric value and physical relevance] of the line of best fit.
Include your raw data graph and linearized data graph in your report.
Bungee Setup Drawing - 4 marks
Draw a picture of our Bungee drop setup on a separate page and attach it after this page.
Label your diagram with the following constants.
h - Barbie’s height above the ground when dropped
L + ∆x - maximum spring stretch
R - rope to be added
B - Barbie's height
List and define other variables you will need to use.
Rope Length Calculation - 4 marks
Show how you determined the length of rope needed.
Be sure to show every physics equation you used.
Use the variables listed above and any additional physical constants as necessary.
Bungee Analysis
Find the elastic potential energy of your spring when Barbie stopped her descent. Show ALL of your work. (2 marks)
If everything goes right and your Barbie just misses hitting the ground, how much work will your spring do to stop her from hitting the ground. (Be sure to include the sign) (2 marks)
In addition to your calculations for the lab, describe how you can use your F vs x plot to calculate how much work you would need to stretch your spring 20.0 cm. (2 marks)
How many times more work would you need to do to stretch your spring 40.0 cm? Explain your answer. (2 marks)
What was Barbie's velocity just before the spring started to stretch? (2 marks)
Using Newton’s 2nd Law,
Show the free-body diagrams. at 0.06 m and 0.12 m. (4 marks)
Determine the acceleration of the falling Barbie when the spring is stretched 0.06 m and when it is stretched 0.12 m. (2 marks)
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