Lab
LAB: Ramps - Accelerated Motion
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Purpose:
In this lab we will experimentally determine the fundamental properties of uniformly accelerated motion by using a ticker-tape time to analyze the motion of a cart down an incline plane.
Equipment:
4 meters of ticker tape
1 ticker tape timer with carbon disk
1 power supply
1 8-foot ramp
1 lab cart
1 meter stick
Procedure:
Connect your ticker tape timer to the power supply using the 0-24 volt DC output. Do not turn it on. Leave the adjusting knob at zero, its leftmost counterclockwise position, until we are ready to start the timer.
Thread the ticker tape through the two "guide staples" making sure that it passes underneath the carbon disk. The carbon disk should have its "ink side" down so that a mark will be made on the ticker tape each time the timer's rotating bead strikes it.
Attach one end of the tape to the lab cart and leave the other end free to slid through the timer.
When you are ready, call your teacher over to inspect your apparatus. If it is correctly set-up, you may then start the power supply.
Let the timer run and leave a preliminary "ink blob" of dots to mark the beginning of your experiment before releasing the cart.
As the cart rolls down the inline, it will pull the ticker tape through the timer leaving a set of "dots" along the backside of the tape.
Immediately turn off the power supply once the cart reaches the bottom of the incline.
Before allowing the next group to use the equipment, make sure that you can clearly see the dots on your ticker tape. If there is an error; complete another trial.
Data Charts:
Starting at the beginning of your tape, count the first 5 "discernible" dots - circling #5. Then count the next 10 dots, circling #10. Continue counting until you are done with all of the dots.
Measure the length of each 10-dot section and record their values as your cart's displacement during each interval.
For the purpose of this experiment, we will assume that your timer had a frequency of 20 hz. This means that each of your 5-dot sections represents 0.25 seconds.
Analysis:
Complete the remaining columns in your data table to calculate the average acceleration of your cart.
Enter the lengths of your 5-dot sections in the
EXCEL graph
provided. Save and print your graphs.
Conclusions:
1. Based on the shape of your EXCEL graph titled "Cumulative Distance vs Time" did your cart uniformly accelerate down the incline? Why or why not?
2. What was the numerical value of the slope of your EXCEL graph titled "Strip Length (Displacement) vs Group"?
2b. What does this slope represent?
3. What was the numerical value of the slope of your EXCEL graph titled "Average Velocity vs Time"?
3b. What does this slope represent?
4. Which of the following BEST describes the numerical relationship between your answers to questions #2 and #3?
slope #2 = 1/16
^{th}
x slope #3
slope #2 = 1/4
^{th}
x slope #3
slope #2 = slope #3
slope #2 = 4 x slope #3
slope #2 = 16 x slope #3
5. Why would you expect your answer to question #4 to be true?
6. According to your data table, what was your cart's average acceleration?
7. What is the percent difference between the average acceleration according to your data table (question #6) and the slope of the EXCEL graph of "Average Velocity vs Time" (question #3)?
8. What was the average length of three 5-dot sections at the end of your tape when the cart was traveling acooss the floor after leaving the ramp?
9. How fast was your cart moving as it traveled across the floor after leaving the ramp?
After submitting your results, turn in your completed data chart and a printout of your EXCEL charts.
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Resource Lesson:
RL -
Accelerated Motion: A Data Analysis Approach
RL -
Accelerated Motion: Velocity-Time Graphs
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Analyzing SVA Graph Combinations
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Average Velocity - A Calculus Approach
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Chase Problems
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Comparing Constant Velocity Graphs of Position-Time & Velocity-Time
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Constant Velocity: Position-Time Graphs
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Constant Velocity: Velocity-Time Graphs
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Derivation of the Kinematics Equations for Uniformly Accelerated Motion
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Derivatives: Instantaneous vs Average Velocities
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Directions: Flash Cards
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Freefall: Horizontally Released Projectiles (2D-Motion)
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Freefall: Projectiles in 1-Dimension
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Freefall: Projectiles Released at an Angle (2D-Motion)
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Monkey and the Hunter
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Summary: Graph Shapes for Constant Velocity
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SVA: Slopes and Area Relationships
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Vector Resultants: Average Velocity
Review:
REV -
Test #1: APC Review Sheet
Worksheet:
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Hackensack
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The Baseball Game
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The Big Mac
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The Cemetary
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The Golf Game
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The Spring Phling
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2D Projectiles
CP -
Dropped From Rest
CP -
Freefall
CP -
Non-Accelerated and Accelerated Motion
CP -
Tossed Ball
CP -
Up and Down
NT -
Average Speed
NT -
Back-and-Forth
NT -
Crosswinds
NT -
Headwinds
NT -
Monkey Shooter
NT -
Pendulum
NT -
Projectile
WS -
Accelerated Motion: Analyzing Velocity-Time Graphs
WS -
Accelerated Motion: Graph Shape Patterns
WS -
Accelerated Motion: Practice with Data Analysis
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Advanced Properties of Freely Falling Bodies #3
WS -
Average Speed and Average Velocity
WS -
Average Speed Drill
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Chase Problems #1
WS -
Chase Problems #2
WS -
Chase Problems: Projectiles
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Combining Kinematics and Dynamics
WS -
Constant Velocity: Converting Position and Velocity Graphs
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Constant Velocity: Position-Time Graphs #1
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Constant Velocity: Position-Time Graphs #2
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Constant Velocity: Position-Time Graphs #3
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Constant Velocity: Velocity-Time Graphs #1
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Constant Velocity: Velocity-Time Graphs #2
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Constant Velocity: Velocity-Time Graphs #3
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Converting s-t and v-t Graphs
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Energy Methods: More Practice with Projectiles
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Energy Methods: Projectiles
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Force vs Displacement Graphs
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Freefall #1
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Freefall #2
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Freefall #3
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Freefall #3 (Honors)
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Horizontally Released Projectiles #1
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Horizontally Released Projectiles #2
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Kinematics Along With Work/Energy
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Kinematics Equations #1
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Kinematics Equations #2
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Kinematics Equations #3: A Stop Light Story
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Position-Time Graph "Story" Combinations
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Projectiles Released at an Angle
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Rotational Kinetic Energy
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SVA Relationships #1
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SVA Relationships #2
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SVA Relationships #3
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SVA Relationships #4
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SVA Relationships #5
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Work and Energy Practice: An Assortment of Situations
TB -
2A: Introduction to Motion
TB -
2B: Average Speed and Average Velocity
TB -
Antiderivatives and Kinematics Functions
TB -
Honors: Average Speed/Velocity
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Kinematics Derivatives
TB -
Projectile Summary
TB -
Projectile Summary
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Projectiles Mixed (Vertical and Horizontal Release)
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Projectiles Released at an Angle
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Set 3A: Projectiles
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