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012-07558A

PAScar Accessory Track Set (2.2 Meter)

®

Experiment

 

11:  Conservation of Center of Mass

Set  up  the  track  in  the  configuration  shown  in  Figure  1.1  in  Experiment  #1.  (Note:  Instead  of  put-
ting  the  track  directly  on  the  table,  place  it  on  the  additional  mass  bar  so  that  the  bar  acts  as  a  ful-
crum.)    Position  the  bar  so  the  cars  and  track  are  balanced.    First  use  two  cars  of  equal  mass.    Press
the  cocked  plunger  and  watch  the  cars  move  to  the  ends  of  the  track.    Since  the  center  of  mass  of
the  system  does  not  move,  the  track  will  remain  balanced.
Then  repeat  this  procedure  using  cars  of  unequal  mass.

Experiment 12:  Oscillation Modes of Two Carts and Three Springs

Place  two  cars  of  equal  mass  on  the  track.    Attach  a  spring  between  the  two  cars  and  connect  each
car  to  their  respective  ends  of  the  track  with  springs.    Pull  the  cars  away  from  each  other  and  release
and  observe  the  mode  of  oscillation.    Then  displace  both  cars  in  the  same  direction  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  accelerates
up  the  incline.

Experiment 14:  Damped Motion

Incline  the  track  with  the  end  stop  at  the  bottom.    Release  the  car  from  a  measured  distance  up  the
inclined  track.    The  spring  plunger  should  be  unlocked  and  directed  toward  the  bottom  of  the
incline  so  the  car  will  rebound.    On  each  rebound,  when  the  car  reaches  its  peak,  record  the  time
and  position.    A  plot  of  amplitude  versus  time  can  be  made.

Experiment 15:  Rocket Cart with Balloon

Attach  an  untied  inflated  balloon  to  the  car  with  the  neck  of  the  balloon  directed  out  the  back  of  the
car.  Let the air propel the car.

Experiment 16: Oscillation Modes of Three Cars and Four Springs

(For  the  ME-9459  system)

Place  three  cars  of  equal  mass  on  the  track.    Attach  a  spring  between  the  cars,  and  connect  the  end
cars  to  their  respective  ends  of  the  track  with  springs.

Displace  the  two  end  cars  away  from  the  middle  car  and  release  and  observe  the  mode  of  oscilla-
tion.

Additional Experiment Suggestions

Summary of Contents for ME-6956

Page 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...

Page 2: ......

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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