PASCO ME-6569 User Manual

Includes

Teacher's Notes

and

Typical

Experiment Results

Instruction Manual and Experiment Guide for the PASCO scientific Model ME-6569

RMS/IDS KIT

012-06408A

6/97

10101 Foothills Blvd. • P.O. Box 619011 • Roseville, CA 95678-9011 USA

Phone (916) 786-3800 • FAX (916) 786-8905 • web: www.pasco.com

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RMS/IDS Kit 012–06408A

012–06408A RMS/IDS Kit

Table of Contents

Section Page

Introduction ...................................................................................................................1

Equipment .....................................................................................................................1

Assembly .................................................................................................................. 23

Suggested Experiments

Experiment 1: Correlation of velocity and acceleration vectors for a cart

undergoing an elastic collision ....................................................56

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

inelastic collision ................................................................... 1115

Experiment 4: Conservation of momentum kinetic energy in an elastic collision

. 1621

Teachers Notes............................................................ 2329

Technical Support ........................................................................................ Back Cover

PleaseFeel free to duplicate this manual subject to the copyright restrictions below.

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

Equipment Return

Should the product have to be returned 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:

➀ The packing carton must be strong enough for the

item shipped.

➁ Make certain there are at least two inches of packing

material between any point on the apparatus and the inside walls of the carton.

➂ 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 bracket included in the RMS/IDS Kit, together with the required IDS Mount Accessory (CI-6692), allow the connection of the Dynamics Cart to the large pulley of the 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

700). Science Workshop can then display the motion data in terms of absolute location, velocity, and acceleration.

through a PASCO computer interface (500 or

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).

Equipment

Included:

 IDS track pulley bracket  cartstring bracket  spool of sturdy thread

Additional Required:

 Rotary Motion Sensor (CI-6538)  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

IDS track pulley bracket

cart—string bracket

thread

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 cartstring bracket on the cart (Figure 2).

IDS track pulley bracket

Figure 1

Mounting the IDS track pulley bracket on the IDS track

IDS track

4.. Cut a length of thread about 2.5 m long (for the 1.2 m track).

cart—string bracket

IDS cart

IDS track

Figure 2

Attaching the cartstring bracket to the Dynamics Cart

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. Pull the thread taunt and secure the end under the thumbscrew of

the cartstring bracket.

7. Adjust the height of the large and small pulleys so the top half of

the string is horizontal and so the bottom half moves without being obstructed by the track or brackets (Figure 3).

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 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 & 2 or

3 & 4 of the computer interface box.

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 (

Pulley (Groove) OK

in the Linear Calibration dialog box. Click

) and choose

Large

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 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

• Rotary Motion Sensor (RMS) (CI-6538) • Dynamics Track (ME-9435A or ME-9458)

• RMS/IDS Kit • Adjustable End Stop (ME-9448A)

• IDS Mount Accessory (CI-6692) • PASCO computer interface (500 or 700)

• Dynamics Cart (ME-9430 or ME-9454) • Science Workshop version 2.2 or higher

• 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 IDS track

2. Attach the Adjustable End Stop to the end of the track (Figure 1.1). Move the IDS track

IDS Mount Accessory

RMS

to computer interface

pulley bracket, as directed in the Equipment Setup section (pages 2 & 3) of this manual.

pulley bracket, if necessary.

IDS track pulley bracket

thread

cart—string bracket

Adjustable End Stop

IDS track

IDS cart

large pulley of the 3-step pulley

Figure 1.1

Equipment setup for experiment 1

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 of the 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. If you are not in the setup window for the RMS, double-click on the RMS icon (

3. Set the Division/Rotation to

4. Double-click on the Sampling Options button and set the sampling rate to 50 Hz. Click

5. Drag and drop a Graph display icon to the RMS icon and choose

Velocity (linVel)

pop-up menu.



Collect the data

1. Position the cart at the end 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.

, and

1440

. Click OK.

Acceleration (linAcc)

Position (linPos)

from the Choose Calculations to Display

Questions

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.

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

• Rotary Motion Sensor (RMS) (CI-6538) • ±50 Force Sensor (CI-6537)

• RMS/IDS Kit (CI-6569) • Force Sensor Bracket & Collision Bumpers (CI-6545)

• IDS Mount Accessory (CI-6692) • PASCO computer interface (500 or 700)

• Dynamics Cart (ME-9430 or ME-9454) • Science Workshop version 2.2 or higher

• Dynamics Track (ME-9435A or ME-9458) • computer

• pages 2 & 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:

P= Fd

∆

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:

mv = Fdt

Procedure

Set Up the Equipment

1. Mount the 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 & 3, of this manual).

+ 25 hidden pages