PASCO Specialty & Mfg. ME-6569 User's Manual
Contents
1. pa uses Instruction Manual and 012 06408A and Experiment Guide for the Typical Experiment Results PASCO scientific Model 6569 RMS IDS KIT 25 TRACK ELSIE BRACKET 1997 PASCO scientific J amp 10101 Foothills Blvd Box 619011 Roseville CA 95678 9011 USA Scientific Phone 916 786 3800 FAX 916 786 8905 web www pasco com RMS IDS Kit 012 06408A IPASC Oe c rire 3 012 06408A Table of Contents Section Page Copyright Warranty and Equipment Return ii Hitroduction ERE 1 EQUIP iia 1 Assembly 2 3 Suggested Experiments Experiment 1 Correlation of velocity and acceleration vectors for a cart undergoing an elastic collision ee 56 Experiment 2 Comparison of momentum and impulse of an inelastic collision 7 9 Experiment 3 Conservation of momentum vs loss of kinetic energy in an inelastie collision 11 15 Experiment 4 Conservation of momentum kinetic energy in an elastic collision 16 21 Teacher s Notes 23 29 Technical en se Back Cover 12 c gt CH qf Ee 3 RMS IDS Kit Copyright Warranty and Equipment Return Please Feel free to duplicate this manual subject to the copyright restri2. 46 3 linVel 01 2 Formulae for smoothing data e Total Momentum Part A smoothed smooth 8 Momentuml Total KE Part A smoothed 5 5 smooth 8 21 linVel 01 2 7 5 46 smooth 8 23 linVel 01 2 PASC Cu 25 screntifttec RMS IDS Kit 012 06408A Part B Inelastic collision of carts with unequal mass m m m collision starts Figure TN 3 Typical experimental results from Part B of Experiment 3 smoothea Equations entered into the Equation Field of the Experimental Calculator Formulae for Momentum and Total Kinetic Energy Total Momentum Part B Momentum2 51 1 linVel 01 96 3 linVel 01 Total KE Part B 5 51 1 linVel 01 2 5 96 3 linVel 01 2 Formulae for smoothing data Total Momentum smoothed Part B smooth 8 Momentum2 Total KE smoothed Part B 5 51 smooth 8 1 linVel 01 2 5 96 smooth 8 3 linVel 01 2 Iz Ke enti te 012 06408A RMS IDS Kit Table 3 1 Table 3 2 Questions mv m Ns calculated 0 041 0 041 measured calculated 0 035 0 035 measured afier after calculated 0 017 calculated 0 011 Ns 0 018 measured 0 011 measured afier after calculated calculated 0 20 0 20 measured calculated 0 18 calculated 0 19 0 19 measured loss of KE 1 Total mome
3. Mount Accessory CI 6692 PASCO computer interface 500 or 700 Dynamics Cart ME 9430 or ME 9454 e Science Workshop version 2 2 or higher Dynamics Track ME 9435A or ME 9458 computer e pages 2 amp 3 of this manual block of wood or similar about 10 cm in height Theory The momentum of a system is determined by the relationship P mv where P momentum m mass and v velocity The impulse or change in momentum of a collision is determined by the relationship aP ra 1 The area under the curve of a graph of the force versus time as determined by integrating the curve equals the total change in momentum In an inelastic collision where the final velocity is zero the following relationship exists Fdt 1 Procedure Set Up the Equipment 1 Mountthe RMS on the IDS track using the IDS Mount Accessory and mount the IDS track pulley bracket on the IDS track refer to the equipment setup section pages 2 amp 3 of this manual PASC 7 screntitrec RMS IDS Kit 012 06408A P IDS Mount Accessory IDS track pulley bracket cart string bracket Force Sensor Bracket Force Sensor thread P di collision cup block cone of clay Figure 2 1 Equipment setup for experiment 2 2 Attach the Force Sensor to the end ofthe track using the Force Sensor Bracket Figure 2 1 Move the IDS track pulley bracket if necessary 3 Unscrew the hook from the Force
4. kinetic energy in the system 2 What effect did friction have on the momentum and kinetic energy of the system 3 What are other possible contributors to the variation of the experimental data from the expected theoretical values PASC screntifttec RMS IDS Kit 012 06408A 16 012 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 Materials and Equipment Required e 2 Rotary Motion Sensor RMS CI 6538 Dynamics Track ME 9435A or ME 9458 e 2 Collision Cart ME 9454 PASCO computer interface 700 e 2 RMS IDS Kit CI 6569 e Science Workshop version 2 2 or higher e 2 IDS Mount Accessory CI 6692 computer e pages 2 amp 3 of this manual Theory Before the collision of the two carts the situation can be represented as follows 5 0 m m where m the mass of the first cart v the velocity of the first cart m the mass of the second cart and v the velocity of the second cart which is 0 During an elastic collision the kinetic energy is converted to potential energy and back into kinetic energy as the carts bounce off one another After the collision the carts accelerate away
5. selected A Graph display with 4 sets of y axis plots vs an x axis plot for time will open To set up the y axis plot of linear velocity for cart 1 click on the Plot Input Menu button 7 in the top y axis plot and select Digitall and Velocity linVel from the pop up menu To set up the y axis plot of linear velocity for cart 2 click on the Plot Input Menu button in the second y axis plot and select Digital3 and Velocity linVel from the pop up menu To set up the y axis plot for Total Momentum 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 13 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 gt Note The force of the push should be sufficient to propel both carts after the collision but not hard enough to make the carts vibrate or jump the track A smooth motion will produce the best results 4 Stop recording data gt Note The data can be smoothed if desired by using the smooth function in the Experiment Calculator To smooth data modify your equation in
6. the Experiment Calculator by selecting Ko gt Special gt smooth n x Set n 8 at first If you do not get the desired smoothing result experiment with different values of n Analyze the Data 1 Click the Autoscale Tool on the Graph display 2 Printthe graph or make a sketch of it and indicate the point at which the carts collided 3 Explain what is happening in each of the panels before and after the collision 4 Usethe Smart Cursor to measure 1 the velocity of cart 1 just before the collision 2 the velocity of the carts just after the collision 3 momentum before and after the collision 4 kinetic energy before and after the collision Record in Table 3 1 5 Complete Tables 3 1 and 3 2 14 I7 o 012 06408A RMS IDS Kit Table 3 1 m m after qo after kg kg m s calculated calculated measured calculated calculated measured measured Table 3 2 1 2 1 1 2 1 2 Amv 2m v loss of KE Ns N s calculated calculated measured measured calculated calculated measured measured Part B Inelastic collision of unequal masses 1 Add a mass to cart 2 and repeat the data collection and analysis sections Note You will need to redefine the calculations in the Experimental Calculator for Total Momentum and Total KE in Graph display with the new mass values Questions 1 How did the inelastic collision effect the total momentum and total
7. 0 16 0 15 measured measured measured 1 Both total momentum and total kinetic energy are conserved after the collision but the total KE temporarily drops having been converted to potential energy during the first half of the elastic collision and then rises as potential energy is converted to kinetic energy in the second half of the elastic collision 2 Friction gradually reduced both the total momentum and total KE until both reach zero Friction reduced the momentum and KE more rapidly in the system with more mass Part B 3 Other variables include vibration in the system and mechanical effects FAS C C screntifrtec 29 Technical Support Feedback 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 com Contacting Technical Support Before you call the PASCO Technical Support staff it would be helpful to prepare the following information If your problem is with the PASCO apparatus note Title and model number usually listed on the label Approximate age of apparatus A
8. 2 Open Science Workshop and set up the RMS in the setup window refer to the RMS manual 012 06053A for details 3 Double click on the RMS icon andchoose Large Pulley Groove in the Linear Calibration dialog box Click DK PAS C 3 crentifre o May 3 RMS IDS Kit 012 06408A gt Note The manual has been written with the assumption that the user has a basic familiarity with Science Workshop and has access to the User s 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 Materials and Equipment Required e Rotary Motion Sensor RMS CI 6538 e Dynamics Track ME 9435A or ME 9458 RMS IDS Kit e Adjustable End Stop ME 9448A e IDS Mount Accessory CI 6692 PASCO computer interface 500 or 700 Dynamics Cart ME 9430 or ME 9454 e Science Workshop version 2 2 or higher e pages 2 and 3 of this manual computer Procedure Set Up the Equipment 1 Mount on the IDS track the RMS using the IDS Mount Accessory and the
9. IDS track pulley bracket as directed in the Equipment Setup section pages 2 amp 3 of this manual 2 Attach the Adjustable End Stop to the end of the track Figure 1 1 Move the IDS track pulley bracket if necessary IDS track pulley bracket EN End Stop IDS track to computer interface large pulley of the 3 step pulley Figure 1 1 Equipment setup for experiment 1 PASC Cu 5 screntiftec RMS IDS Kit 012 06408A 3 Place the cart on the track with the magnets facing the Adjustable End Stop and attach the cart string 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 ofthe pulleys and cart string bracket and is taunt enough so it does not slip on the pulleys Set Up Science Workshop 1 Set up the RMS in Science Workshop as directed in the setup section on page 3 of this manual 2 Ifyou are not in the setup window for the RMS double click on the RMS icon amp 3 Set the Division Rotation to IHHD Click OK 4 Double click on the Sampling Options button and set the sampling rate to 50 Hz Click DK 5 Drag and drop a Graph display icon to the RMS icon and choose Position linPos Velocity linVel and Acceleration linAcc from the Choose Calculations to Display pop up menu Collect the data l Position the cart at the end
10. Sensor and replace it with the collision cup that is stored on the Force Sensor Bracket 4 Makeacone ofclay that is about 1 cm in base diameter and 3 cm in height and press it onto the collision cup 5 Place the cart on the track so the magnets face the Force Sensor 6 Attach the cart string bracket and connect the string as shown in the equipment setup section ofthis manual page 2 Check to be sure the string moves freely without obstruction is horizontal across the top of the pulleys and cart string bracket and is taunt enough so it does not slip on the pulleys Set Up Science Workshop 1 Setup the RMS in Science Workshop as directed in the setup section on page 3 of this manual 2 If you are not in the setup window for the RMS double click on the RMS icon Ka 3 Set the Division Rotation to IHHD Click OK 4 Double click on the Sampling Options button and set the sampling rate to 50 Hz Click OK 5 Dragand drop a Graph display icon to the RMS icon and select Velocity LinVel from the Choose Calculations to Display pop up menu 6 Setupthe Force Sensor in Science Workshop refer to the manual for the Force Sensor for details 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 for
11. and Velocity linVel from the 19 RMS IDS Kit 012 06408A 20 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 Start recording data 3 Gently push cart 1 and release it allowing it to glide to cart 2 gt Note The force of the push should be sufficient to propel both carts after the collision but not hard enough to make the carts vibrate or jump the track A smooth motion will produce the best results 4 Stop recording data gt Note The data can be smoothed if desired by using the smooth function in the Experiment Calculator To smooth data modify your equation in the Experiment Calculator by selecting Ko gt Special gt smooth n x Set n 8 at first If you do not get the desired smoothing result experiment with different values of n Analyze the Data 1 Click the Autoscale Tool on the Graph display 2 Print graph or make a sketch of it and indicate the point at which the carts collided 3 Explain what is happening in each of the panels before and after the collision 4 Usethe Smart Cursor t
12. ce of acceleration gt 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 Use the statistics function of Science Workshop to determine the maximum velocity of the cart 2 Determine the mass of the cart 3 Calculate the momentum of the cart 4 Usethe statistics function to integrate the area under the curve 5 Select the portion of the curve that represents the impact and record the integrated value gt Note Select by clicking and dragging a box around the desired area 6 Compare the magnitudes of the momentum of the cart and the impulse of the collision Question 1 Does your experimental data show that the momentum of the cart equals the impulse of the 2 collision Does MV 9 1 PASC Ce 9 screntiftec RMS IDS Kit 012 06408A Notes 10 012 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 Materials and Equipment Required e 2 Rotary Motion Sensor RMS CI 6538 Dynamics Track ME 9435A or ME 9458 e 2 RMS IDS Kit CI 6569 PASCO computer interface 700 e 2 IDS Mo
13. ctions 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 Reproduction under any other circumstances without the written consent of PASCO scientific is prohibited Limited Warranty PASCO scientific warrants the product to be free from defects in materials and workmanship for a period of one year from the date of shipment to the customer PASCO will repair or replace at its option any part of the product which is deemed to be defective in material or workmanship The warranty does not cover damage to the product caused by abuse or improper use Determination of whether a product failure is the result of a manufacturing defect or improper use by the customer shall be made solely by PASCO scientific Responsibility for the return of equipment for warranty repair belongs to the customer Equipment must be properly packed to prevent damage and shipped postage or freight prepaid Damage caused by improper packing of the equipment for return shipment will not be covered by the warranty Shipping costs for returning the equipment after repair will be paid by PASCO scientific Credits Author Sunny Bishop ii Equipment Return Should the product have to be re
14. detailed description of the problem sequence of events in case youcan tcall PASCO right away you won t lose valuable data If possible have the apparatus within reach when calling to facilitate description of individual parts gt If your problem relates to the instruction manual note Part number and revision listed by month and year on the front cover Have the manual at hand to discuss your questions
15. from each other or all the kinetic energy of one cart is transferred to the other cart which accelerates away from the first cart has a velocity of zero When acceleration reaches 0 the situation can be as represented below V V lafter 2after The momentum of the system at any point in time is expressed as follows my where mv are the mass and velocity of the first cart and m v are the mass and velocity of the second Since the momentum is conserved after the collision the following relationship exists mv mv MofierVafter PASC Ca screntitrec RMS IDS Kit 012 06408A where 7 the mass of the two carts and v 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 oe After the elastic collision kinetic energy and momentum are preserved 1 2 1 2 1 2 1 2 afier Hofer 2 ejer Zafer Procedure 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 magnetic ends Collision Carts RMS IDS Mount Accessory cart string brackets IDS track pulley brackets Figure 3 1 Equipment setup f
16. g 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 magnetic ends Collision Carts Velcro tabs Plunger Carts 2 A m RMS cart string brackets IDS track pulley brackets Figure 3 1 Equipment setup for experiment 3 2 Attach the cart string brackets to the carts measure the mass of the carts and record in Table 3 1 3 Place the carts on the track with the Velcro tabs Plunger Cart or nonmagnetic ends Collision Cart facing each other 4 Thread the string as shown in Figure 3 1 and pages 2 amp 3 ofthe manual Make the necessary adjustments to the setup to insure that the string is unobstructed and moves freely 5 Adjustthe brackets with small pulley as necessary to insure that the thread is taunt and not slipping on the pulleys Set Up Science Workshop l Insertthe digital plugs for the RMS connected to cart 1 into digital channels 1 amp 2 and the digital plugs of the RMS connected to cart 2 into digital channels 3 amp 4 of the interface box 12 I7 o 012 06408A RMS IDS Kit 2 Setup the Rotary Motion Sensors in Science Workshop as directed in the setup section on page 3 of this manual 3 Ifyou are not in the setup window for the RMS double click on the RMS icon Ka Set the Divi
17. ket included in the RMS IDS Kit together with the required IDS Mount Accessory C1 6692 allow the connection of the Dynamics Cart to the large pulley ofthe RMS with a sturdy thread The thread is anchored on the Dynamics Cart and passed over the large pulley on the RMS allowing bidirectional linear motion of the Dynamics Cart to be logged into Science Workshop through a PASCO computer interface 500 or 700 Science Workshop can then display the motion data in terms of absolute location velocity and acceleration Two sets of Dynamics Carts Rotary Motion Sensors and connecting brackets can be installed on a single Dynamics Track to allow simultaneous measurement of linear motion of two carts 700 interface only Included DS track pulley bracket cart string bracket Equipment IDS track pulley bracket cart string bracket spool of sturdy thread H Additional Required a Rotary Motion Sensor 1 6538 gt IDS Mount Accessory CI 6692 Dynamics Cart ME 9430 or ME 9454 Dynamics Track ME 9429A or ME 9452 PASCO computer interface 500 or 700 Science Workshop version 2 2 or higher computer PASC Ca screntitrec RMS IDS Kit 012 06408A Setup Equipment 1 Mountthe 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 brac
18. ket on the same side of the track at the other end Figure 1 3 Mount the cart string bracket on the cart Figure 2 IDS track pulley bracket cart string bracket IDS track a B IDS track Figure 1 Figure 2 Mounting the IDS track pulley bracket on the IDS track Attaching the cart string bracket to the Dynamics Cart 4 Cut a length of thread about 2 5 m long for the 1 2 m track Anchor one end of the thread under the screw of the cart string bracket on the cart Thread the string over and under the large pulley of the RMS Figure 3 5 Pull the thread under and over the top of the small pulley on the bracket 6 Pullthe thread taunt and secure the end under the thumbscrew of the cart string bracket 7 Adjustthe height ofthe large and small pulleys so the top half of thestringis horizontal and so the bottom halfmoves without being obstructed by the track or brackets Figure 3 PASCO ent f c 012 06408A RMS IDS Kit IDS track pulley bracket IDS Mount Accessory RMS to computer interface Thread is free of obstruction large pulley of 3 step pulley Figure 3 Completed assembly 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 amp 2 or 3 amp 4 of the computer interface box
19. ntum is unchanged after the collision but the total KE drops significantly after the collision 2 Friction gradually reduced both the total momentum and total KE until both reach zero Friction reduced the momentum and KE more rapidly in the system with more mass Part B 3 Other variables include vibration in the system and a small amount of elasticity in the collision PASC Screntrtre 27 RMS IDS Kit 012 06408A Experiment 4 collision begins 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 51 1 linVel 01 46 3 linVel 01 e Total KE Part A 51 5 1 linVel 01 2 5 46 3 linVel 01 2 Formulae for smoothing data e Total Momentum Part A smoothed smooth 8 Momentum1 Total KE Part A smoothed 5 51 smooth 8 1 linVel 01 2 5 46 smooth 8 3 lin Vel 01 2 28 PASC Ge scientific 012 06408A RMS IDS Kit Table 4 1 m s Table 4 2 mv m yv Ns calculated 0 025 0 026 Questions 2 measured v 1 after 1 after kg m s 2 P os 1 afier 1 after Ns calculated 0 024 y 2afier 2afier kg m s y 2 Zafier lafier mv myv m y m y 11 22 lafier lafier 2afier Zafier kg m s kg m s calculated calculated 0 16 0 15
20. o measure 1 the velocity of cart 1 just before the collision 2 the velocity of the carts just after the collision 3 momentum before and after the collision 4 kinetic energy before and after the collision Record in Table 4 1 5 Complete Tables 4 1 and 4 2 012 06408A RMS IDS Kit Table 4 1 2 afier m s calculated measured Table 4 2 Yam v tmy v tm v after after after after N s Ns calculated calculated measured measured Questions y 1 afier 1 after calculated kg m s 1 Hovv did the elastic collision effect the total momentum and total kinetic energy in the system 2 What effect did friction have on the momentum and kinetic energy of the system 3 What are other possible contributors to the variation of the experimental data from the expected theoretical values PASC Screntrtre m y 2afier 2 afier measured 21 RMS IDS Kit 012 06408A 22 012 06408A RMS IDS Kit Teacher s Notes Experiment 1 o e ES 2 ue S Lan o o o lt 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 Duringthe collision the velocity moves from positive through zero to negative When the velocity is negative the cart is mo
21. of the track with the RMS 2 Start recording data 3 Give the cart a gentle push towards the end stop Use the amount of force needed for smooth movement of the cart 4 After the cart rebounds from the end stop stop recording Analyze the data 1 Sketch the three graphs and label the axis or print out the graph 2 Label the graphs for the following 1 cart moving towards the end stop 2 the elastic collision of the cart 3 cart moving away from the end stop Questions 1 Just before the collision what is the velocity and acceleration of the cart 2 Describe what happens to the cart s velocity during the collision What is happening to the cart s position when it has negative velocity 3 Describe what happens to the cart s acceleration during the collision What is happening to the cart s position when the acceleration is changing from zero to negative What is happening to the cart s position when the acceleration is changing from negative to zero 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 Materials and Equipment Required e Rotary Motion Sensor RMS CI 6538 e 50 Force Sensor CI 6537 RMS IDS Kit CI 6569 e Force Sensor Bracket amp Collision Bumpers CI 6545 e DS
22. or experiment 3 2 Attach the cart string brackets to the carts measure the mass of the carts and record in Table 3 1 3 Place the carts on the track with the magnetic ends facing each other 4 Thread the string as shown in Figure 3 1 and pages 2 amp 3 of the manual Make the necessary adjustments to the setup to insure that the string is unobstructed and moves freely 5 Adjustthe brackets with small pulley as necessary to insure that the thread is taunt and not slipping on the pulleys 18 PASC 012 06408A RMS IDS Kit Set Up Science Workshop 1 Insert the digital plugs for RMS connected to cart 1 into digital channels 1 amp 2 and the digital plugs ofthe RMS connected to cart 2 into digital channels 3 amp 4 ofthe interface box 2 Setup the Rotary Motion Sensors in Science Workshop as directed in the setup section on page 3 of this manual 3 Ifyou 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 _Sampling Options and set the sampling rate to 50 Hz Click OK 6 Define the calculation for display for momentum Click on the Experimental Calculator icon Create a new calculation for momentum by clicking the New button and en
23. sions 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 6 Define the calculation for display for momentum Click on the Experimental Calculator icon Create a new calculation for momentum by clicking the New button and entering the calculation in the Expression Field using the and keyboard buttons Type a descriptive calculation name such as Total Momenuml a short abbreviation for the name and the units of the calculation in the appropriate fields Press Enter to accept the calculation entry gt Note For additional information on entering calculations refer to Using Calculations in the Users Guide for Science Workshop and to the section on the Experiment Calculator Window in the Annotated Windows section of the Users Guide 7 Define the calculation for display for kinetic energy refer to step 6 above 8 Make a Graph display that shows the velocity of cart 1 the velocity of cart 2 the Total Momentum of the system and the Total Kinetic Energy of the system plotted vs time PASCI screntitrec Drag and drop a Graph icon to an RMS icon and select four calculations to display from the Choose Calculations to Display pop up menu these selections will be modified so it doesn t matter which calculations are
24. tering the calculation in the Expression Field using the and keyboard buttons Type a descriptive calculation name such as Total Momenuml a short abbreviation for the name and the units of the calculation in the appropriate fields Press Enter to accept the calculation entry gt Note For additional information on entering calculations refer to Using Calculations in the Users Guide for Science Workshop and to the section on the Experiment Calculator Window in the Annotated Windows section of the Users Guide 7 Define the calculation for display for kinetic energy refer to step 6 above 8 Make a Graph display that shows the velocity of cart 1 the velocity of cart 2 the Total Momentum of the system and the Total Kinetic Energy of the system plotted vs time PASC Cu screntitrc Drag and drop a Graph icon to an RMS icon and select four calculations to display from the Choose Calculations to Display pop up menu these selections will be modified so it doesn t matter which calculations are selected A Graph display with 4 sets of y axis plots vs an x axis plot for time will open To set up the y axis plot of linear velocity for cart 1 click on the Plot Input Menu button in the top y axis plot and select Digitall and Velocity linVel from the pop up menu To set up the y axis plot of linear velocity for cart 2 click on the Plot Input Menu button in the second y axis plot and select Digital3
25. turned to PASCO scientific for any reason notify PASCO scientific by letter phone or fax BEFORE returning the product Upon notification the return authorization and shipping instructions will be promptly issued NOTE NO EQUIPMENT WILL BE ACCEPTED FOR RETURN WITHOUT AN AUTHORIZATION FROM PASCO When returning equipment for repair the units must be packed properly Carriers will not accept responsibility for damage caused by improper packing To be certain the unit will not be damaged in shipment observe the following rules D The packing carton must be strong enough for the item shipped Make certain there are at least two inches of packing material between any point on the apparatus and the inside walls of the carton Make certain that the packing material cannot shift in the box or become compressed allowing the instrument come in contact with the packing carton Address PASCO scientific 10101 Foothills Blvd P O Box 619011 Roseville CA 95678 9011 Phone 916 786 3800 FAX 916 786 3292 email techsupp pasco com web www pasco com 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 The IDS track pulley bracket and the cart string brac
26. unt Accessory CI 6692 e Science Workshop version 2 2 or higher e 2 Plunger or Collision Cart ME 9430 or ME 9454 e computer pages 2 amp 3 of this manual Theory Before the collision of the two carts the situation can be represented as follows v gt v 0 m m where m the mass of the first cart v the velocity of the first cart m the mass of the second cart and v the velocity of the second cart which is 0 After the collision the carts stick together and move as one mass as represented below V after m m gt The momentum of the system at any point in time is expressed as follows my where mv are the mass and velocity of the first cart and m v are the mass and velocity of the second Since the momentum is conserved after the collision the following relationship exists mv MV M ner Vafter where 77 the mass of the two carts and v the velocity of the two carts stuck together after The total kinetic energy KE of the system at any moment in time is represented by 1 1 KE E Pun PASC Ca screntitrec RMS IDS Kit 012 06408A In contrast to the case with momentum KE is not conserved after the collision 1 2 44 M 1 2 V V m erVa er 2 1 2 2 2 2 ifier Procedure Part A Inelastic collision of equal masses Set Up the Equipment 1 Mount the two Rotary Motion Sensors on the IDS track usin
27. ving in the opposite direction 3 During the collision the acceleration varies from zero to negative and then back to zero as the cart rebounds in the opposite direction PASC 23 screntitrec RMS IDS Kit 012 06408A Experiment 2 maximum X 2 5475 y 53 1248 selected area for area 0 27073 Ns integration value Figure TN 2 Schematic representation of typical experimental data for Experiment 2 data smoothed Listed below are some typical results for Experiment 2 Formula for smoothing data set in the Value for integration under the selected Experimental portion of the Force curve 0 27 N s mass of cart 0 5 kg Force smooth 8 A Force 0 54 m s Velocity smooth 8 1 linVel max momentum mv 0 27 kg m s N s Question 1 The students data should show that the momentum of the cart equals the impulse of the 2 inelastic collision MV 1 24 IPAS Ci 012 06408A RMS IDS Kit Experiment 3 Part A Inelastic collision of carts with equal mass collision starts Figure TN 3 Typical experimental results from Part A of Experiment 3 smoothed Equations entered into the Equation Field of the Experimental Calculator Formulae for Momentum and Total Kinetic Energy Total Momentum Part A 51 01 linVel 01 46 03 linVel 01 e Total KE Part A 51 5 1 linVel 01 2 5
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