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Equipment: Dynamics track with one Car, Bubble level, Electronic Mass Scale Mass-Set and Mass-Hangar, Computer, Motion Detector, Vernier Logger Pro. Introduction: Newton's 2nd Law is
Equipment: Dynamics track with one Car, Bubble level, Electronic Mass Scale Mass-Set and Mass-Hangar, Computer, Motion Detector, Vernier Logger Pro. Introduction: Newton's 2nd Law is the observation that the acceleration of an object is proportional to the net force acting on the object (and inversely proportional to its mass). We will investigate this proportionality in today's lab. Track and Car: 1) Measure the mass of the car (as used) and record in your notebook. 2) Place the car on the track and adjust the level screws until the track is level. 3) Add the small pulley to the track. Data Acquisition Setup: 1) Connect the data logger to a USB port on the computer. 2) Connect the Motion Detector to the "DigSonic" 1 slot in the data logger. 3) Start the computer and then open the Vernier Logger Pro program. Experiment 1 Total Mass Constant (Hangar & Load Changing) Page 1 of 51) Load car with the following gram masses. (5g, 5g, 10g, 10g, 10g, 20g). 2) Connect the string to the Car and hang the empty Mass Hangar over the pulley. 3) Set the Motion Detector at the opposite end of the track pointing toward the car. 4) Start the logger program. Release the car and catch at the end of its run. 5) Left click and drag to select a central portion of the velocity graph. 6) Click the Linear Fit "R=" button to find the acceleration (slope) in m/s/s. velocity vs time 1.4 1.2 1 "R=" linear fit 0.8 Slope = accel. (m/s/s) velocity (m/s) 0.6 Av 0.4 0.2 At $400 0 060 0 000 0.5 1 1.5 2 2.5 3 3.5 t (s) 7) Move the next smallest mass available on the car to the hangar and repeat steps 4-6. Continue this process.until no more masses are on the car. Table 1: Total Mass Constant (Hangar Mass & Load Changing) Car Mass Car Load Hangar Total System X. y (as used) Mass Mass Measured Hangar Weight kg kg kg . kg Acceleration N m/s/s 0, 3177 0.060 0.005 013827. 0 . 049 same 0.055 0.010 same 10. 2194 0:098 same 0.050 0.015 same 0. 3 015 0 1 147 same 0.040 0.025 same 0.5891 0.245 same 0.030 0.035 same 0, 8370 same 0.020 0.045 same 1.072 0 4 41 same 0 0.065 same 10579Experiment 2 Hangar Mass Constant (Load Changing) load in Table 1. . 1) Load the car with the following gram masses (500g, 200g, 200g, 100g, 50g). Record the 2) Connect the string to the Car and hang the empty Mass Hangar over the pulley. Add 20 grams to the Hangar. 3) Start the logger program. Release the car and catch at the end of its run. Run a Linear Fit to the velocity vs. time data to determine the car's acceleration. 4) Remove the 500g mass and place on the lab table. Repeat step 4. 5) Continue removing the largest masses first and measuring the system acceleration until all masses have been removed from the car. Table 2: Hangar Mass Constant (Load Changing) Car Mass Car Load Hangar Hangar X y (as used) Mass Weight Total System Measured kg kg kg N Mass Acceleration kg m/s/s 0 , 3177 1.050 0.025 01245 1.3927 0. 1601 same 0.550 same same 0 8927 10. 2583 same 0.350 same same 0. 6927 /0. 3197 same 0.150 same same 0. 4927 / 0. 4674 same 0.050 same same 0. 3927 / 0. 5766 same 0 same same 0. 3427 0. 6565Scatter Graph 1 (points-only): X=Measured Acceleration (m/s/s) Y=Net Force (N) Open a Logger Pro data page (during a lab you can do this by disconnecting the usb from the computer and restarting the program) and enter your data. . Double-click on "X" and "Y" and enter the Names and Units for each column. . Click the Curve-Fit button M Choose Proportional fit (Ax). . Click Try Fit, then OK. Print (one graph per table): . Click "File" at the top left of screen . . Click "Print Graph" . . Click "OK" . . Click "Properties" Click "Landscape" orientation (Logger Pro graphs look much better in Landscape) Print one copy in "Landscape" orientation for your table and write your table number at the top. Record the best-fit slope of graph 1: 10. 4093 N (mlsls) Re-record the actual system mass from Table 1: 0 . 2 8 2 7 kg.Scatter Graph 2 (points only): X=Total Mass Y=Measured Acceleration . Open a Logger Pro data page (during a lab you can do this by disconnecting the usb from the computer and restarting the program) and enter your data. . Double-click on "X" and "Y" and enter the Names and Units for each column. Click the Curve-Fit button Choose Power fit (Ax^B). . Click Try Fit, then OK. Print (one graph per table): Click "File" at the top left of screen . Click "Print Graph" Click "OK" Click "Properties" Click "Landscape" orientation (Logger Pro graphs look much better in Landscape) -: Print one copy in "Landscape" orientation for your table and write your table number at the top. According to Newton's 2nd Law the acceleration of an object is inversely proportional to its mass when the net-force on it is held constant (a=F/m=Fm^-1). Write down your Power-Fit here y = 01 2269 x1 - 0. 997 , The left value you wrote above should be close to the net-force on your system which is the weight of the hangar & load. The right value above should be close to the theoretical value of -1.0000 for inversely proportional
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