Includes Teacher's Notes and Typical Experiment Results Instruction Manual and Experiment Guide for the PASCO scientific Model ME-6569 012-06408A 6/97 RMS/IDS KIT © 1997 PASCO scientific $7.50 ® better 10101 Foothills Blvd. • P.O. Box 619011 • Roseville, CA 95678-9011 USA Phone (916) 786-3800 • FAX (916) 786-8905 • web: www.pasco.
RMS/IDS Kit 012–06408A
012–06408A RMS/IDS Kit Table of Contents Section Page Copyright, Warranty, and Equipment Return ................................................................ ii Introduction ...................................................................................................................1 Equipment .....................................................................................................................1 Assembly ............................................................................
Copyright, Warranty, and Equipment Return PleaseFeel free to duplicate this manual subject to the copyright restrictions below. Copyright Notice The PASCO scientific 012-06408A manual is copyrighted and all rights reserved. However, permission is granted to non-profit educational institutions for reproduction of any part of the RMS/ IDS Kit manual providing the reproductions are used only for their laboratories and are not sold for profit.
012–06408A RMS/IDS Kit Introduction The PASCO CI-6569 RMS/IDS Kit allows the PASCO CI-6538 Rotary Motion Sensor (RMS) to function as a Smart Pulley for measuring the absolute location of a PASCO Dynamics Carts (ME-9430 or ME-9454) running on PASCO Introductory Dynamics System Tracks (ME-9429A or ME-9452).
RMS/IDS Kit 012–06408A Setup Equipment 1. Mount the Rotary Motion Sensor (RMS) on the IDS track with the IDS Mount Accessory so the RMS can be used like a Smart Pulley (see IDS Mount Instruction Sheet and Figure 3). 2. Mount the IDS track pulley bracket on the same side of the track at the other end (Figure 1). 3. Mount the cartstring bracket on the cart (Figure 2).
012–06408A RMS/IDS Kit IDS track pulley bracket Top thread is parallel to the table. cart—string bracket IDS Mount Accessory RMS to computer interface Thread is free of obstruction. large pulley of Figure 3 Completed assembly 3-step pulley 8. If necessary, adjust the tension of the string by moving the IDS track pulley bracket along the track. Science Workshop 1. Insert the digital plugs of the the RMS into digital ports 1 & 2 or 3 & 4 of the computer interface box. 2.
RMS/IDS Kit 012–06408A ➤ Note: The manual has been written with the assumption that the user has a basic familiarity with Science Workshop and has access to the Users Guide for Science Workshop. Users can gain basic skills with Science Workshop by viewing the training video and by doing the tutorial within Science Workshop. Another useful resource is the Quick Reference Card for Science Workshop.
012–06408A RMS/IDS Kit Experiment 1: Correlation of velocity and acceleration vectors for a cart undergoing an elastic collision Purpose The purpose of the experiment is to develop a correlated, graphic display of the position, velocity, and acceleration of a cart during an elastic collision.
RMS/IDS Kit 012–06408A 3. Place the cart on the track with the magnets facing the Adjustable End Stop, and attach the cartstring bracket to the cart. 4. Thread the string as directed in the Equipment Setup section of this manual. Check to be sure the string moves freely without obstruction, is horizontal across the top of the pulleys and cartstring bracket, and is taunt enough so it does not slip on the pulleys. Set Up Science Workshop 1.
012–06408A RMS/IDS Kit Experiment 2: Comparison of momentum and impulse of an inelastic collision Purpose The purpose of the experiment is to quantitatively compare magnitude of the momentum of a moving cart with the impulse of its inelastic collision with a stationary object.
RMS/IDS Kit 012–06408A IDS Mount Accessory IDS track pulley bracket RMS cart—string bracket Force Sensor Bracket Force Sensor IDS cart thread collision cup block IDS track cone of clay Figure 2.1 Equipment setup for experiment 2 2. Attach the Force Sensor to the end of the track using the Force Sensor Bracket (Figure 2.1). Move the IDS track pulley bracket, if necessary. 3. Unscrew the hook from the Force Sensor and replace it with the collision cup that is stored on the Force Sensor Bracket. 4.
012–06408A RMS/IDS Kit 7. Drag and drop a Graph display icon to the Force Sensor icon. Collect the data 1. Hold the cart in place close to the RMS and elevate the track using the wooden block. 2. Begin recording data. 3. Release the cart, allowing gravity to be the sole force of acceleration. ä Note: If the impact is not completely inelastic (the cart bumps back from the clay stopper), repeat using a smaller angle of elevation. 4. Stop recording. Analyze the Data 1.
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012–06408A RMS/IDS Kit Experiment 3: Conservation of momentum vs. loss of kinetic energy in an inelastic collision Purpose The purpose of the experiment is to quantitatively and graphically demonstrate the conservation of momentum and the simultaneous loss of kinetic energy as a result of the collision of a cart with a cart at rest.
RMS/IDS Kit 012–06408A In contrast to the case with momentum, KE is not conserved after the collision: 1 2 m1v1 2 1 2 2 2 +2 m v 1 2 ≠ maftervafter 2 Procedure Part A Inelastic collision of equal masses Set Up the Equipment 1. Mount the two Rotary Motion Sensors on the IDS track using the IDS Mount Accessories, and mount the two brackets with small pulley on the IDS track (refer to the page 2 of this manual and Figure 3.1).
012–06408A RMS/IDS Kit 2. Set up the Rotary Motion Sensors in Science Workshop as directed in the setup section on page 3 of this manual. ). 3. If you are not in the setup window for the RMS, double-click on the RMS icon ( Set the Divisions/Rotation to 1440. Check to be sure that Large Pulley (Groove) is selected in the Linear Calibration dialog box. Click OK. 4. Repeat the setup (steps 2 and 3) for the other RMS. 5. Double-click on the Sampling Options button and set the sampling rate to 50 Hz. Click OK.
RMS/IDS Kit 012–06408A To set up the y-axis plot for Total Kinetic Energy, click on the Plot Input Menu button in the fourth y-axis plot and select calculations and the name for the kinetic energy calculation from the pop-up menu. Collect the Data 1. Place the carts as indicated in Figure 3.1. 2. Start recording data. 3. Gently push cart 1 and release it, allowing it to glide to cart 2.
012–06408A RMS/IDS Kit Table 3.1 m1 v1 (kg) (m/s) m2 (kg) v2 mafter vafter (m/s) (kg) (m/s) m1v1 + m2v2 maftervafter (kg ms/) (kg m/s) calculated calculated Part A measured measured calculated calculated Part B measured measured Table 3.2 ½m1v12+½m2v22 (N s) ½maftervafter2 (N s) loss of KE % calculated calculated Part A measured measured calculated calculated Part B measured measured Part B Inelastic collision of unequal masses 1.
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012–06408A RMS/IDS Kit Experiment 4: Conservation of momentum and kinetic energy in an elastic collision Purpose The purpose of the experiment is to quantitatively and graphically demonstrate the conservation of momentum and the simultaneous loss of kinetic energy as a result of the collision of a cart with a cart at rest.
RMS/IDS Kit 012–06408A where mafter= the mass of the two carts and vafter = the velocity of the two carts stuck together. The total kinetic energy (KE) of the system at any moment in time is represented by: 1 1 KE = m1v1 + m2v2 2 2 After the elastic collision, kinetic energy and momentum are preserved: 1 2 m1v1 2 + 1 1 1 2 2 2 m2v2 = m1afterv1after + m2afterv2after 2 2 2 Procedure Set Up the Equipment 1.
012–06408A RMS/IDS Kit Set Up Science Workshop 1. Insert the digital plugs for the RMS connected to cart 1 into digital channels 1 & 2, and the digital plugs of the RMS connected to cart 2 into digital channels 3 & 4 of the interface box. 2. Set up the Rotary Motion Sensors in Science Workshop as directed in the setup section on page 3 of this manual. 3. If you are not in the setup window for the RMS, double-click on the RMS icon ( Set the Divisions/Rotation to 1440.
RMS/IDS Kit 012–06408A To set up the y-axis plot for Total Momenutm, click on the Plot Input Menu button in the third y-axis plot and select calculations and the name for the momentum calculation from the pop-up menu. To set up the y-axis plot for Total Kinetic Energy, click on the Plot Input Menu button in the fourth y-axis plot and select calculations and the name for the kinetic energy calculation from the pop-up menu. Collect the Data 1. Place the carts as indicated in Figure 3.1. 2.
012–06408A RMS/IDS Kit Table 4.1 m1 v1 m2 v2 (kg) (m/s) (kg) (m/s) m1 after (kg) v1 m2 after (m/s) after v2 (kg) m1v1 + m2v2 after (m/s) m1 v after 1after+ (kg m/s) m2 v after 2after (kg m/s) calculated calculated measured measured Table 4.2 ½m1v12+½m2v22 ½m1 (N s) v 2 after 1after + ½m2 v 2 after 1after (N s) calculated calculated measured measured Questions 1. How did the elastic collision effect the total momentum and total kinetic energy in the system? 2.
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012–06408A RMS/IDS Kit Teachers Notes Run #1 Acceleration (cm/s/s) -1500 -1000 -500 0 Run #1 Velocity (cm/s) 0 50 -10 0 Run #1 Position (cm) 10 20 30 40 50 60 Experiment 1 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 Time (s) Figure TN-1 Schematic representation of typical experimental results for Experiment 1. Questions 1. Students can use the Smart Cursor to find the velocity and acceleration of the cart just before the collision. 2.
RMS/IDS Kit 012–06408A 50 Experiment 2 6.0 0 Run #1 sVel (cm/s) 10 20 30 40 maximum: x = 2.5475, y = 53.1248 Integration area = 0.27073 N s 0 Run #1 sForce (N) 2.0 4.0 selected area for integration value 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 Time (s) Figure TN-2 Schematic representation of typical experimental data for Experiment 2 (data smoothed). Listed below are some typical results for Experiment 2.
012–06408A RMS/IDS Kit Experiment 3 Part AInelastic collision of carts with equal mass Run #3 Run #3 sTotal Kinetic Energy1 sMomentum1 (kg m/s 0 0.020 0.040 0 0.10 0.20 0 Run #3 sVel3 (cm/s) 10 20 30 40 0 Run #3 sVel1 (cm/s) 10 20 30 40 collision starts 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 Time (s) Figure TN-3 Typical experimental results from Part A of Experiment 3 (smoothed).
RMS/IDS Kit 012–06408A Part BInelastic collision of carts with unequal mass (m1=½m2) Run #1 Run #1 sTotal Kinetic Energy2 s Momentum2 (kg m/s 0 0.020 0.040 0 0.10 0.20 0 Run #1 sVel3 (cm/s) 10 20 30 40 0 Run #1 sVel1 (cm/s) 10 20 30 40 collision starts 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 Time (s) Figure TN-3 Typical experimental results from Part B of Experiment 3 (smoothed).
012–06408A RMS/IDS Kit Table 3.1 m1 v1 m2 v2 (kg) (m/s) (kg) (m/s) mafter vafter m1v1 + m2v2 maftervafter (kg) (m/s) (kg ms/) (kg m/s) calculated calculated Part A 0.51 0.40 0.46 0 0.96 0.19 0.20 0.20 measured calculated Part B 0.51 0.37 0.96 0 1.5 0.12 0.19 0.19 0.18 0.19 measured calculated 0.18 measured 0.18 measured Table 3.2 ½m1v12+½m2v22 (N s) calculated Part A 0.041. ½maftervafter2 (N s) 0.041 0.017 measured 0.
RMS/IDS Kit 012–06408A Experiment 4 Run #7 sTotal Kinetic Energy1 0 0.010 0.020 Run #7 s Momentum1 (kg m/s 0 0.05 0.10 0.15 0 Run #7 sVel3 (cm/s) 10 20 30 0 Run #7 sVel1 (cm/s) 10 20 30 collision begins 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Time (s) Figure TN-4.1 Typical results for Experiment 4 (smoothed) Equations entered into the Equation Field of the Experimental Calculator: Formulae for Momentum and Total Kinetic Energy: Total Momentum, Part A: .
012–06408A RMS/IDS Kit Table 4.1 m1 v1 m2 v2 (kg) (m/s) (kg) (m/s) m1 after (kg) v1 m2 after (m/s) after v2 (kg) m1v1 + m2v2 after (m/s) 0.31 0.46 0 0.51 0 0.46 0.32 0.16 v after 1after+ (kg m/s) m2 v after 2after (kg m/s) calculated calculated 0.51 m1 0.16 0.15 measured 0.15 measured Table 4.2 ½m1v12+½m2v22 ½m1 v 2 after 1after (N s) + ½m2 v 2 after 1after (N s) calculated calculated 0.025 0.024 0.026 measured 0.023 measured Questions: 1.
Technical Support Feedback Contacting Technical Support If you have any comments about the product or manual, please let us know. If you have any suggestions on alternate experiments or find a problem in the manual, please tell us. PASCO appreciates any customer feedback. Your input helps us evaluate and improve our product. To Reach PASCO For technical support, call us at 1-800-772-8700 (toll-free within the U.S.) or (916) 786-3800. fax: (916) 786-3292 e-mail: techsupp@pasco.com web: www.pasco.
