012-05035E Dynamics Cart Accessory Track Set Table of Contents Section Page Copyright, Warranty, and Equipment Return ........... ii Introduction ...................... 1 Equipment ......................2 Assembly ......................3 Using the Friction Block................... 4 Replacement Parts .................... 5 Experiments Exp 1: Conservation of Momentum in Explosions ......7 Exp 2: Conservation of Momentum in Collisions ........
ACCEPTED FOR RETURN WITHOUT AN Limited Warranty AUTHORIZATION FROM PASCO. PASCO scientific warrants this product to be free from When returning equipment for repair, the units defects in materials and workmanship for a period of one must be packed properly. Carriers will not accept year from the date of shipment to the customer.
012-05035E Dynamics Cart Accessory Track Set Introduction The PASCO Model ME-9435A Dynamics Cart Acces- Features include: sory Track Set enables the user to perform a wide vari- • Length is adequate for standard experiments and ety of experiments when used with the Dynamics Cart limited lab and table space.
Dynamics Cart Accessory Track Set 012-05035E Equipment The ME-9435A Dynamics Cart Accessory Track Set Additional Equipment Required for ME-9458 includes the following: • Dynamics Cart with Mass (ME-9430) • Dynamics Cart Track: Specific experiment requirements: 1.2m extruded aluminum track with alignment –...
012-05035E Dynamics Cart Accessory Track Set Assembly Thread forming screws Magnet Bumper Assemblies Dynamics Cart (not included) Plunger Bar Rear End Cap ➤ Note: This end cap does Front End Cap not have the hook and pile pads Hook-and-pile Pads Installing the Magnet Bumpers Installing the Pivot Clamp ➀...
Dynamics Cart Accessory Track Set 012-05035E ➃ Installing the Adjustable End Stop When storing the End Stop when it is not on the track, remember that it has two strong magnets in The Adjustable End Stop can be used at any point on it.
012-05035E Dynamics Cart Accessory Track Set Experiment 1: Conservation of Momentum in Explosions EQUIPMENT NEEDED: – Dynamic Cart with Mass (ME-9430) – Collision Cart (ME-9454) – Dynamics Cart Track – Meter stick – Mass balance Purpose The purpose of this experiment is to demonstrate conservation of momentum for two carts pushing away from each other.
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Dynamics Cart Accessory Track Set 012-05035E ➁ For each of the following cases, place the two carts against each other with the plunger of the Dynamics Cart pushed completely in and latched in its maximum position (see Figure 1.1). ➂ Push the plunger release button with a short stick and watch the two carts move to the ends of the track.
012-05035E Dynamics Cart Accessory Track Set Experiment 2: Conservation of Momentum in Collisions EQUIPMENT NEEDED: – Dynamics Cart with Mass (ME-9430) – Collision Cart (ME-9454) – (2) Bumper magnet set (installed) – Dynamics Cart Track – Paper Purpose The purpose of this experiment is to qualitatively explore conservation of momentum for elastic and inelastic collisions.
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Dynamics Cart Accessory Track Set 012-05035E B. Carts with Unequal Mass Put two mass bars in one of the carts so that the mass of one cart is approximately three times the mass (3M) of the other cart (1M). Case 1: Place the 3M cart at rest in the middle of the track. Give the other cart an initial velocity toward the cart at rest.
012-05035E Dynamics Cart Accessory Track Set Experiment 3: Simple Harmonic Oscillator EQUIPMENT NEEDED: – Dynamics Cart with Mass (ME-9430) – Dynamics Cart Track – (2) Springs – Super Pulley with Clamp – Mass hanger and mass set (ME-9348) – Stopwatch –...
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Dynamics Cart Accessory Track Set 012-05035E Adjustable End Stop Fixed End Stop Figure 3.1 Equipment Setup Super Pulley with Clamp Data and Analysis Table 3.1 Equilibrium position =____________ Mass of cart =____________ Displacement from Added Mass Position Force (mg) Equilibrium Measuring the Experimental Period ➆...
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012-05035E Dynamics Cart Accessory Track Set Experimental Period ➀ Using the data in Table 3.2, calculate the average time for 5 oscillations with and without the 500 g mass in the cart. ➁ Calculate the period by dividing these times by 5 and record the periods in Table 3.2. Table 3.2 Trial Time for 5 Oscillations...
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Dynamics Cart Accessory Track Set 012-05035E Notes:...
012-05035E Dynamics Cart Accessory Track Set Experiment 4: Oscillations on an Incline EQUIPMENT NEEDED: – Dynamics Cart with Mass (ME-9430) – Dynamics Cart Track with End stop – Spring and Pivot clamp – Base and Support rod (ME-9355) – Mass hanger and mass set (ME-934 8) –...
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Dynamics Cart Accessory Track Set 012-05035E Table 4.1 Mass of Cart = ______________ Equilibrium position = ______________ Angle of Incline = ______________ Displacement from Added Mass Position Force (mg sinθ) Equilibrium Measuring the Experimental Period ➅ Displace the cart from equilibrium a specific distance and let it go. Time 3 oscillations and record the time in Table 4.2.
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012-05035E Dynamics Cart Accessory Track Set Table 4.2 Time for 3 oscillations Angle Trial 1 Period Experimental Period ➂ Using the data in Table 4.2, calculate the average time for 3 oscillations. ➃ Calculate the period by dividing these times by 3 and record the periods in Table 4.2. Questions ➀...
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Dynamics Cart Accessory Track Set 012-05035E Notes:...
012-05035E Dynamics Cart Accessory Track Set Experiment 5: Springs in Series and Parallel EQUIPMENT NEEDED: – Dynamics Cart with Mass (ME-9430) – Base and Support rod (ME-9355) – Dynamics Cart Track with End stop – Mass balance – (2) Springs –...
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Dynamics Cart Accessory Track Set 012-05035E ➃ Displace the cart from equilibrium a specific distance and let it go. Time 2 oscilla- tions and record the time in Table 5.1. Repeat this measurement at least 5 times, using the same initial displacement (amplitude). Figure 5.1 Equipment Setup Measuring the Effective k For Pairs of Springs ➄...
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012-05035E Dynamics Cart Accessory Track Set Calculations ➀ Using the data in Table 5.1, calculate the average time for 2 oscillations. ➁ Calculate the period by dividing these times by 2 and record the periods in Table 5.1. ➂ Using the periods and the mass of the cart, calculate the effective spring constants. Mass of Cart = ______________ Table 5.1 Time for 2 oscillations...
Dynamics Cart Accessory Track Set 012-05035E Experiment 6: Newton’s Second Law EQUIPMENT NEEDED: – Dynamics Cart with Mass (ME-9430) – Dynamics Cart Track – Stopwatch Purpose The purpose is to show how the acceleration of an object is dependent on force and mass. Procedure ➀...
012-05035E Dynamics Cart Accessory Track Set Experiment 7: Newton’s Second Law II EQUIPMENT NEEDED: – Dynamics Cart (ME-9430) – Dynamics Cart Track – Super Pulley with clamp – Base and Support rod (ME-9355) – String – Mass hanger and mass set –...
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Dynamics Cart Accessory Track Set 012-05035E the cart takes about 2 seconds to complete the run. Because of reaction time, too short of a total time will cause too much error. However, if the cart moves too slowly, friction causes too much error.
012-05035E Dynamics Cart Accessory Track Set Experiment 8: Acceleration Down an Incline EQUIPMENT NEEDED: – Dynamics Cart with Mass (ME-9430) – Dynamics Cart Track – Base and Support rod (ME-9355) – Meter stick – Stopwatch – Graph paper Purpose The purpose is to study how the acceleration of an object down an incline de- pends on the angle of the incline and to obtain the acceleration due to gravity.
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Dynamics Cart Accessory Track Set 012-05035E lowering the track in increments of 1 cm for each new angle. Table 8.1 Height of Track 10 cm 9 cm 8 cm 7 cm 6 cm 15 cm 4 cm Trial 1 Trial 2 Trial 3 Trial 4 Trial 5...
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012-05035E Dynamics Cart Accessory Track Set Table 8.2 Height Acceleration θ Hypotenuse = _________________ ➄ Plot acceleration versus sinθ. Draw the best-fit straight line and calculate its slope. (This slope should equal g.) Calculate the percent difference between the slope and g. slope = ______________________ % difference = _______________ Questions...
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Dynamics Cart Accessory Track Set 012-05035E Notes:...
012-05035E Dynamics Cart Accessory Track Set Experiment 9: Conservation of Energy EQUIPMENT NEEDED: – Dynamics Cart with Mass (ME-9430) – Dynamics Cart Track – Super Pulley with clamp – Meter stick – Base and Support rod (ME-9355) – Mass hanger and mass set –...
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Dynamics Cart Accessory Track Set 012-05035E adjustable end stop Figure 9.1 Experiment Setup Table 9.1 Displacement from Added Mass Position Force (mg) Equilibrium Potential Energy ➅ Remove the leveling feet. ➆ Remove the string from the cart and cock the spring plunger to its maximum compression position.
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012-05035E Dynamics Cart Accessory Track Set ➈ Record the initial position of the cart in Table 9.2. ➉ Release the plunger by tapping it with a stick and record the distance the cart goes up the track. Repeat this five times. Record the maximum distance the cart went in Table 9.2. Change the angle of inclination and repeat the measurements.
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Dynamics Cart Accessory Track Set 012-05035E Notes:...
012-05035E Dynamics Cart Accessory Track Set Additional Experiment Suggestions Experiment 11: Conservation of Center of Mass Set up the track in the configuration shown in Figure 1.1 in Experiment #1 but instead of putting the track directly on the table, place it on the additional mass bar so that the bar acts as a fulcrum. Position the bar so the carts and track are balanced.
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Dynamics Cart Accessory Track Set 012-05035E Displace the two carts on the left away from the cart on the right and release and observe the mode of oscillation. Displace the middle cart and release and observe the mode of oscillation. Experiment 17: Multiple Elastic Collisions (For the ME-9459 system) Use two Collision Carts and one Dynamics Cart.
012-05035E Dynamics Cart Accessory Track Set Teacher’s Guide Experiment 1: Conservation of Energy in Explosions ➃ Notes on Data Analysis The starting position does not depend on which cart has the plunger cocked. During the “explosion”, the Position X1/X2 M2/M1 momentum of the carts will be affected by the fact 497.5 500.7...
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Dynamics Cart Accessory Track Set 012-05035E Experiment 3: Simple Harmonic Oscillator Notes on Procedure Notes on Calculations ➅ ➀ For best results, make sure that the springs are nei- The spring constant k = 3.089 N/m for the springs ther over-stretched nor hanging loose. For these used here.
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012-05035E Dynamics Cart Accessory Track Set Experiment 4: Oscillations on an Incline Notes on Procedure Notes on Calculations ➀ The angle of inclination of the track should be The spring constant k = 1.5595 for the spring tested between 5 and 15° for best results. You may want here.
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Dynamics Cart Accessory Track Set 012-05035E Experiment 5: Springs in Series and Parallel ➀ Keep the angle of the track low, especially if you The effective spring constant is 2k for springs in are using a short (1.2m) track. Otherwise, the carts parallel.
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012-05035E Dynamics Cart Accessory Track Set Experiment 7: Newton’s Second Law II If the mass used to accelerate the cart is too low, Notes on Questions friction will be a very significant source of error. If ➀ The results of this experiment generally show it is too high, then the time will be short and that F = ma.
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Dynamics Cart Accessory Track Set 012-05035E Experiment 9: Conservation of Energy Analysis Notes on Questions ➀ ➀ The initial spring potential energy is larger. (Gener- ally. There are experimental errors, which can make the gravitational energy appear larger than the initial spring potential.) The “lost” energy goes f(x) = 5.717757E+2*x + 1.981589E-1 R^2 = 9.920828E-1 into friction.
Technical Support Feedback Contacting Technical Support If you have any comments about the product or manual, Before you call the PASCO Technical Support staff, it please let us know. If you have any suggestions on would be helpful to prepare the following information: alternate experiments or find a problem in the manual, ➤...