Lab
LabPro: Newton's 2nd Law
Printer Friendly Version
Purpose
The purpose of this lab is to let students become familiar with working with the Vernier LabPro and accelerated systems of bodies. Graphical data analysis, freebody diagrams and euqations dealing with Newton's 2nd Law will be used to calculate the mass of the rolling cart.
Equipment
meter stick
2 meters of string
rolling cart
slotted masses and calibrated hanger
LabPro attached to a computer station
motion detector
desktop pulley
triple beam balance
Procedure
Students will work in teams of two or three. On each team, one member will manipulate and measure the cart and suspended masses, a second member will operate the LabPro, and the third member will record the data provided in the group's data chart.
Connect the LabPro to the computer, clamp the pulley to the far end of the table, and place the motion detector on the table a minimum of 40 cm away from the cart's release position aimed at the back of the cart.
After measuring the mass of the rolling cart, securely tie one end of the string to its front axle. Pass the string over the pulley and tie the other end of the string onto the mass 50-gram hanger.
During the experiment you will add 50-gram increments to the hanger and release the cart. For each trial, track the cart's motion with the motion detector and record its acceleration in the chart provided below.
Under the Start Menu go to Programs, Math, Logger Pro 3.1 to launch the program.
Logger Pro should automatically set up the graphs according to the connected sensor. With the Motion Detector properly connected, the program should display graphs of position vs time and velocity vs time. First press Collect to start timing; then release the suspended mass.
With the completion of each trial, highlight the "smooth section" of your velocity vs time graph which displays the acceleration of the cart across the table. Then click on Analyze, Linear Fit, to obtain the slope of your line. Record your values to three significant figures in the chart provided. Repeat each mass increment two times until you have suspended a total of 400 grams.
One student MUST be available to "cushion the impact" of the suspended hanger and its masses just as they are about to impact with the floor. PLEASE do NOT allow them to crash on to the floor as we do not want to bend or damage the hanger or lose any slotted masses.
Data Table
Suspended
M
ass
(grams)
Trial 1
Trial 2
average
a
cceleration
50
100
150
200
250
300
350
400
Graph
Suspended
M
ass
(grams)
1/
M
(kg
^{-1}
)
1/
a
(sec
^{2}
/m)
50
100
150
200
250
300
350
400
Open the EXCEL graph PulleySystem.xls and chart your values. After filling in all required information, save your graph as
LastNameLastNamePulleySystems.xls
in your period folder. What was the filename of your graph?
What was the numerical value of the slope of your line?
What was the numerical value of the y-intercept of your line?
What was the mass of your cart using a triple beam balance?
Analysis
Step 1a
. On your graph's printout, draw a freebody diagram of the rolling cart (m). Include the forces tension, weight, and normal.
Step 1b
. On your graph's printout, draw a freebody diagram for the suspended mass (M). Include the forces tension and weight.
Step 2
. On your graph's printout, write the equations of motion for each body - the rolling cart and the falling suspended mass
Step 3
. We will now use data analysis techniques to determine the experimental values for the mass of the rolling cart and the acceleration due to gravity.
Initially solve these equations from Step 2 simultaneously for the suspended mass (M). Your solution should only involve letters - no numerical values.
Next rearrange this equation to match the format of the equation from your EXCEL graph where your y-axis variable is (1/a) and your x-axis variable is (1/M). Have your teacher check off your result.
Conclusions
Using the correct variables stated in Step 3 above, and EXCEL's values for your slope and intercept, state the equation of the line on your EXCEL graph.
By comparing your theoretical equation in Step 3 and the experimental equation from your EXCEL graph, what was your experimental acceleration due to gravity? Note: base this calculation solely on the graph's y-axis intercept not its slope.
What is your percent error for the acceleration due to gravity?
By comparing your theoretical equation in Step 3 and the experimental equation from your EXCEL graph, what was the experimental mass of your rolling cart? Note: base this calculation on your graph's values for both its slope and y-intercept.
What is your percent error on the mass of the cart?
Did the acceleration of your trials increase uniformly? That is, with the addition of each 50 grams of mass to the hanger, did the system's acceleration increase by an equally consistent amount? Support your answer.
After submitting your online results, your written lab report should include a cover sheet along with a printout of your EXCEL graph with your freebody diagrams, the calculations for the mass of the rolling cart and its percent error as well as the calculations for your experimental value for the acceleration due to gravity and its percent error.
Related Documents
Lab:
Labs -
A Photoelectric Effect Analogy
Labs -
Acceleration Down an Inclined Plane
Labs -
Ballistic Pendulum: Muzzle Velocity
Labs -
Coefficient of Friction
Labs -
Coefficient of Friction
Labs -
Coefficient of Kinetic Friction (pulley, incline, block)
Labs -
Collision Pendulum: Muzzle Velocity
Labs -
Conservation of Momentum
Labs -
Conservation of Momentum in Two-Dimensions
Labs -
Cookie Sale Problem
Labs -
Falling Coffee Filters
Labs -
Flow Rates
Labs -
Force Table - Force Vectors in Equilibrium
Labs -
Freefall Mini-Lab: Reaction Times
Labs -
Freefall: Timing a Bouncing Ball
Labs -
Galileo Ramps
Labs -
Gravitational Field Strength
Labs -
Home to School
Labs -
Inelastic Collision - Velocity of a Softball
Labs -
Inertial Mass
Labs -
InterState Map
Labs -
LAB: Ramps - Accelerated Motion
Labs -
LabPro: Uniformly Accelerated Motion
Labs -
Loop-the-Loop
Labs -
Mass of a Rolling Cart
Labs -
Moment of Inertia of a Bicycle Wheel
Labs -
Monkey and the Hunter Animation
Labs -
Monkey and the Hunter Screen Captures
Labs -
Projectiles Released at an Angle
Labs -
Ramps: Sliding vs Rolling
Labs -
Range of a Projectile
Labs -
Relationship Between Tension in a String and Wave Speed
Labs -
Relationship Between Tension in a String and Wave Speed Along the String
Labs -
Roller Coaster, Projectile Motion, and Energy
Labs -
Rube Goldberg Challenge
Labs -
Static Equilibrium Lab
Labs -
Static Springs: Hooke's Law
Labs -
Static Springs: Hooke's Law
Labs -
Static Springs: LabPro Data for Hooke's Law
Labs -
Target Lab: Ball Bearing Rolling Down an Inclined Plane
Labs -
Terminal Velocity
Labs -
Video LAB: A Gravitron
Labs -
Video Lab: Ball Bouncing Across a Stage
Labs -
Video LAB: Ball Re-Bounding From a Wall
Labs -
Video Lab: Cart Push #2 and #3
Labs -
Video Lab: Falling Coffee Filters
Labs -
Video Lab: Two-Dimensional Projectile Motion
Resource Lesson:
RL -
Accelerated Motion: A Data Analysis Approach
RL -
Accelerated Motion: Velocity-Time Graphs
RL -
Advanced Gravitational Forces
RL -
Air Resistance
RL -
Air Resistance: Terminal Velocity
RL -
Analyzing SVA Graph Combinations
RL -
Average Velocity - A Calculus Approach
RL -
Chase Problems
RL -
Chase Problems: Projectiles
RL -
Comparing Constant Velocity Graphs of Position-Time & Velocity-Time
RL -
Constant Velocity: Position-Time Graphs
RL -
Constant Velocity: Velocity-Time Graphs
RL -
Derivation of the Kinematics Equations for Uniformly Accelerated Motion
RL -
Derivatives: Instantaneous vs Average Velocities
RL -
Directions: Flash Cards
RL -
Forces Acting at an Angle
RL -
Freebody Diagrams
RL -
Freefall: Horizontally Released Projectiles (2D-Motion)
RL -
Freefall: Projectiles in 1-Dimension
RL -
Freefall: Projectiles Released at an Angle (2D-Motion)
RL -
Gravitational Energy Wells
RL -
Inclined Planes
RL -
Inertial vs Gravitational Mass
RL -
Monkey and the Hunter
RL -
Newton's Laws of Motion
RL -
Non-constant Resistance Forces
RL -
Properties of Friction
RL -
Springs and Blocks
RL -
Springs: Hooke's Law
RL -
Static Equilibrium
RL -
Summary: Graph Shapes for Constant Velocity
RL -
Summary: Graph Shapes for Uniformly Accelerated Motion
RL -
SVA: Slopes and Area Relationships
RL -
Systems of Bodies
RL -
Tension Cases: Four Special Situations
RL -
The Law of Universal Gravitation
RL -
Universal Gravitation and Satellites
RL -
Universal Gravitation and Weight
RL -
Vector Resultants: Average Velocity
RL -
What is Mass?
RL -
Work and Energy
Review:
REV -
Test #1: APC Review Sheet
Worksheet:
APP -
Big Fist
APP -
Family Reunion
APP -
Hackensack
APP -
The Antelope
APP -
The Baseball Game
APP -
The Big Mac
APP -
The Box Seat
APP -
The Cemetary
APP -
The Golf Game
APP -
The Jogger
APP -
The Spring Phling
CP -
2D Projectiles
CP -
Action-Reaction #1
CP -
Action-Reaction #2
CP -
Dropped From Rest
CP -
Equilibrium on an Inclined Plane
CP -
Falling and Air Resistance
CP -
Force and Acceleration
CP -
Force and Weight
CP -
Force Vectors and the Parallelogram Rule
CP -
Freebody Diagrams
CP -
Freefall
CP -
Gravitational Interactions
CP -
Incline Places: Force Vector Resultants
CP -
Incline Planes - Force Vector Components
CP -
Inertia
CP -
Mobiles: Rotational Equilibrium
CP -
Net Force
CP -
Newton's Law of Motion: Friction
CP -
Non-Accelerated and Accelerated Motion
CP -
Static Equilibrium
CP -
Tensions and Equilibrium
CP -
Tossed Ball
CP -
Up and Down
NT -
Acceleration
NT -
Air Resistance #1
NT -
An Apple on a Table
NT -
Apex #1
NT -
Apex #2
NT -
Average Speed
NT -
Back-and-Forth
NT -
Crosswinds
NT -
Falling Rock
NT -
Falling Spheres
NT -
Friction
NT -
Frictionless Pulley
NT -
Gravitation #1
NT -
Head-on Collisions #1
NT -
Head-on Collisions #2
NT -
Headwinds
NT -
Ice Boat
NT -
Monkey Shooter
NT -
Pendulum
NT -
Projectile
NT -
Rotating Disk
NT -
Sailboats #1
NT -
Sailboats #2
NT -
Scale Reading
NT -
Settling
NT -
Skidding Distances
NT -
Spiral Tube
NT -
Tensile Strength
NT -
Terminal Velocity
NT -
Tug of War #1
NT -
Tug of War #2
NT -
Two-block Systems
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
WS -
Calculating Force Components
WS -
Charged Projectiles in Uniform Electric Fields
WS -
Chase Problems #1
WS -
Chase Problems #2
WS -
Chase Problems: Projectiles
WS -
Combining Kinematics and Dynamics
WS -
Constant Velocity: Converting Position and Velocity Graphs
WS -
Constant Velocity: Position-Time Graphs #1
WS -
Constant Velocity: Position-Time Graphs #2
WS -
Constant Velocity: Position-Time Graphs #3
WS -
Constant Velocity: Velocity-Time Graphs #1
WS -
Constant Velocity: Velocity-Time Graphs #2
WS -
Constant Velocity: Velocity-Time Graphs #3
WS -
Converting s-t and v-t Graphs
WS -
Distinguishing 2nd and 3rd Law Forces
WS -
Energy Methods: More Practice with Projectiles
WS -
Energy Methods: Projectiles
WS -
Force vs Displacement Graphs
WS -
Freebody Diagrams #1
WS -
Freebody Diagrams #2
WS -
Freebody Diagrams #3
WS -
Freebody Diagrams #4
WS -
Freefall #1
WS -
Freefall #2
WS -
Freefall #3
WS -
Freefall #3 (Honors)
WS -
Horizontally Released Projectiles #1
WS -
Horizontally Released Projectiles #2
WS -
Introduction to Springs
WS -
Kinematics Along With Work/Energy
WS -
Kinematics Equations #1
WS -
Kinematics Equations #2
WS -
Kinematics Equations #3: A Stop Light Story
WS -
Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
WS -
Lab Discussion: Inertial and Gravitational Mass
WS -
net F = ma
WS -
Position-Time Graph "Story" Combinations
WS -
Practice: Vertical Circular Motion
WS -
Projectiles Released at an Angle
WS -
Ropes and Pulleys in Static Equilibrium
WS -
Rotational Kinetic Energy
WS -
Standard Model: Particles and Forces
WS -
Static Springs: The Basics
WS -
SVA Relationships #1
WS -
SVA Relationships #2
WS -
SVA Relationships #3
WS -
SVA Relationships #4
WS -
SVA Relationships #5
WS -
Vocabulary for Newton's Laws
WS -
Work and Energy Practice: An Assortment of Situations
WS -
Work and Energy Practice: Forces at Angles
TB -
2A: Introduction to Motion
TB -
2B: Average Speed and Average Velocity
TB -
Antiderivatives and Kinematics Functions
TB -
Honors: Average Speed/Velocity
TB -
Kinematics Derivatives
TB -
Projectile Summary
TB -
Projectile Summary
TB -
Projectiles Mixed (Vertical and Horizontal Release)
TB -
Projectiles Released at an Angle
TB -
Set 3A: Projectiles
TB -
Systems of Bodies (including pulleys)
TB -
Work, Power, Kinetic Energy
PhysicsLAB
Copyright © 1997-2022
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton