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PAScar Accessory Track Set (2.2 Meter)

012-07558A

®

Data Analysis

The value of the slope will be slightly lower than
9.8, due to friction. (Our value 3.3% low.)

Experiment 3: Acceleration Down an Incline

Answers to Questions

1. Assuming that reaction time is relatively con-

stant, the percent error due to reaction time
would be greater for shorter times and higher
angles.

2. Changing the mass of the car will slightly affect

the results due to changing frictional characteris-
tics.

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Содержание ME-6956

Страница 1: ...rack Set 2 2m version Instruction Manual and Experiment Guide for the PASCO scientific Model ME 6956 Includes Teacher s Notes and Typical Experiment Results CAUTIO N M AG NET AVO ID CO NTACT W IT H CO...

Страница 2: ......

Страница 3: ...ion of Momentum in Collisions 9 Exp 3 Acceleration Down an Incline 11 Exp 4 Simple Harmonic Oscillator 15 Exp 5 Oscillations on an Incline 19 Exp 6 Springs in Series and Parallel 23 Exp 7 Newton s Sec...

Страница 4: ...equipment after repair will be paid by PASCO scientific Copyright Notice The PASCO scientific Model ME 6956 PAScar Accessory Track Set 2 2 Meter manual is copy righted and all rights reserved However...

Страница 5: ...ack ensures easy setup and accurate alignment with the lowest possible friction and it accomodates most linear motion experiments Features include Adjustable leveling feet Low friction wheel slots kee...

Страница 6: ...Stop has a round head screw on the top to allow easy attachment of springs string etc NOTE A small piece of double sided tape is attached to the ends of each storage tube so the tubes may be permanent...

Страница 7: ...ing the Pivot Clamp Square nut Bracket washer Short thumb screw Track Long thumb screw 2 Thread two of the long screws through the two holes in the bottom of each alu minum leveling foot The heads of...

Страница 8: ...o the end stops can slide past the feet without interference 3 Align the square nut within the groove on the desired side of the Dynamics Track Figure 5 Locate and adjust the end stop to the desired p...

Страница 9: ...Assemblies 1 Using a Philips screwdriver loosen the screws and remove the bottom cover plate NOTE A 1 Phillips point screw driver is re quired for removing the thread forming screws on the bottom of...

Страница 10: ...t Clamp Assembly 003 05019 1 Pivot clamp 648 04654 1 Long thumb screw 610 183 620 047 1 Short thumb screw 610 181 620 067 1 Washer 615 184 1 Square nut 614 054 1 Plunger bar catch cover 699 04658 1 Pl...

Страница 11: ...l speeds of the cars is equal to the ratio of the masses of the cars To simplify this experiment choose the starting point for the cars at rest so that the two cars reach the end of the track simultan...

Страница 12: ...OF UNEQUAL MASS Put two mass bars in one car one mass bar in the other Table 1 1 Data Analysis 1 For each of the cases calculate the distances traveled from the starting position to the end of the tr...

Страница 13: ...the Velcro pads on the ends of the cars Procedure 1 Level the track by setting a car on the track to see which way it rolls Adjust the leveling feet at the end of the track to raise or lower that end...

Страница 14: ...the first car a slow velocity and the second car a faster velocity so that the second car catches the first car Do this for both cases first with the 1M car and then first with the 3M car Part II Com...

Страница 15: ...t2 the acceleration can be calculated using Then a plot of acceleration versus sin should give a straight line with a slope equal to the accelera tion due to gravity g Procedure 1 Set up the track as...

Страница 16: ...difference between the initial and final positions of the car as given at the top of Table 3 1 3 Calculate the accelerations using the distance and times and record in Table 3 2 4 Measure the hypoten...

Страница 17: ...sin slope ______________________ difference _______________ Questions 1 Does your reaction time cause a greater percentage error for higher or lower angles 2 If the mass of the car is doubled how are...

Страница 18: ...14 PAScar Accessory Track Set 2 2 Meter 012 07558A Notes...

Страница 19: ...lot the force versus the distance the slope of the resulting straight line is equal to k Procedure 1 Use the balance to find the mass of the car Record this value at the top of Table 4 1 2 Level the t...

Страница 20: ...5 times and record this data in Table 4 2 Calculations Theoretical Period 1 Using the data in Table 4 1 plot force versus displacement Draw the best fit straight line through the data points and dete...

Страница 21: ...cent difference between the measured and theoretical values car alone difference ________________ car with mass difference ________________ Questions 1 Does the period of oscillation increase or decre...

Страница 22: ...18 PAScar Accessory Track Set 2 2 Meter 012 07558A Notes...

Страница 23: ...t forces to stretch the spring different distances When you plot the force versus distance the slope of the result ing straight line is equal to k Adjustable End Stop Angle of inclination Not included...

Страница 24: ...at steps 6 and 7 Calculations TheoreticalPeriod 1 Using the data in Table 5 1 calculate the force caused by the additional mass in the car F mg sin where is the angle of incline Plot force versus disp...

Страница 25: ...dividing these times by 3 and record the periods in Table 5 2 Questions 1 Does the period vary as the angle is changed 2 How do the experimental values compare with the theoretical values 3 Does the e...

Страница 26: ...22 PAScar Accessory Track Set 2 2 Meter 012 07558A Notes...

Страница 27: ...ombined in series or in parallel the spring constants add in different ways One possible way to add two spring constants is keffective k k 2k Another way is which means that Measuring k For a Single S...

Страница 28: ...distance and let it go Time 2 oscillations and record the time in Table 6 1 Repeat this measurement at least 5 times using the same initial displacement amplitude 5 Add a second spring in series as sh...

Страница 29: ...ta in Table 6 1 calculate the average time for 2 oscillations 2 Calculate the period by dividing these times by 2 and record the periods in Table 6 1 3 Using the periods and the mass of the car calcul...

Страница 30: ...h a ruler Observe the resulting acceleration This will be a qualitative measurement VARY THE FORCE Perform the first trial with the spring plunger cocked to the first possible position the least compr...

Страница 31: ...is equal to m1 m2 a when friction is ignored To obtain the acceleration the car will be started from rest and the time t it takes for it to travel a certain distance d will be measured Then since d 1...

Страница 32: ...l positions of the cart as given in Table 8 1 3 Calculate the accelerations and record in Table 8 2 4 For each case calculate the total mass multiplied by the acceleration and record in Table 8 2 5 Fo...

Страница 33: ...sulting straight line is equal to k The gravitational potential energy gained by a car as it climbs an incline is given by potential energy mgh where m is the mass of the car g is the acceleration due...

Страница 34: ...g feet 7 Remove the string from the car and cock the spring plunger to its maximum compression position Place the car against the end stop Measure the distance the spring plunger is compressed and rec...

Страница 35: ...ment Draw the best fit straight line through the data points and determine the slope of the line The slope is equal to the effective spring constant k k ______________ 2 Calculate the spring potential...

Страница 36: ...32 PAScar Accessory Track Set 2 2 Meter 012 07558A Notes...

Страница 37: ...ction initially and observe Add a mass bar to one car and repeat Experiment 13 Newton s Second Law III Repeat Experiment 8 with the track inclined so the pulley is on the high end and the car accelera...

Страница 38: ...apart Push the left cart into the middle cart which in turn will collide with the PAScar The carts will all stick together Note the resulting final velocity of the carts Experiment 19 Rocket Staging U...

Страница 39: ...ar it is on there is no difference when the cars are separated Teacher s Guide Experiment 1 Conservation of Energy in Explosions Experiment 2 Conservation of Momentum in Collisions NOTE Without some m...

Страница 40: ...Our value 3 3 low Experiment 3 Acceleration Down an Incline Answers to Questions 1 Assuming that reaction time is relatively con stant the percent error due to reaction time would be greater for shor...

Страница 41: ...d be less than 2 and it is not unusual to obtain errors of less than 0 5 Answers to Questions 1 The period of oscillation increases with mass The more massive car oscillates slower 2 The period is not...

Страница 42: ...as the spring is ex tended at greater angles the force constant is not constant The contribution due to friction also changes with angle 2 The experimental results should agree with theory to within...

Страница 43: ...d of the track when the springs are in series Notes on Calculations The two springs used for this experiment had spring constants of 1 53 and 1 60 Actual spring constants may vary from spring to sprin...

Страница 44: ...total mass times acceleration The difference between the two is the force of friction 3 The hanging mass is accelerating at the same rate as the car so both the hanging mass and the car s mass must b...

Страница 45: ...you won t lose valuable data If possible have the apparatus within reach when calling This makes descriptions of indi vidual parts much easier If your problem relates to the instruction manual note P...

Страница 46: ......

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