Newtons second law lab

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Arizona State University *

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113

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Physics

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Jun 22, 2024

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pdf

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7

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(1 point) Title of the Experiment: N ewton’s Second Law Student’s name: Isaac Velasco Section SL N : Phy 113 TA’s N ame: Bonfilio N ainggolan Week of the experiment: Lab 4
OBJECTIVE(S) ( 3 points ): The aim of this lab is to confirm N ewton’s second law of motion through measuring gravitational acceleration and learning how to apply the law to systems of masses. EXPERIME N TAL DATA ( 3 points ): Part 1: One way motion without friction. Run 1: Slope of the velocity vs time graph and its uncertainty (extra 200g is on the cart): 0.9770 +/- 0.0006935 m/s^2 Run 2: Slope of the velocity vs time graph and its uncertainty (extra 300g is on the cart): 0.8142 +/- 0.0006039 m/s^2 Part 2: One way motion with friction. Run 1: Slope of the velocity vs time graph and its uncertainty (extra 200g is on the cart): 0.3580 +/- 0.0009778m/s^2 Run 2: Slope of the velocity vs time graph and its uncertainty (extra. 300g is on the cart): 0.1828 +/- 0.0009280 m/s^2 Part 3: Two-way motion: Run 1: slope and its uncertainty (toward the motion sensor): 2.500 +/- 0.0005452 m/s^2 slope and its uncertainty (away from the motion sensor): 0.5129 +/- 0.005665 m/s^2 Run 2: slope and its uncertainty (toward the motion sensor): 3.026 +/- 0.0004698 m/s^2 slope and its uncertainty (away from the motion sensor): 1.177 +/- 0.0001787 m/s^2
Data Analysis (10 points): Part 1: One way motion without friction. Calculate the gravitational acceleration (g) using the formula (6) for each run of Part (1): Run 1: g= 0.9770(250+50)/50= 5.862 m/s^2 Run 2: g= 0.8142(350+50)/50= 6.5136 m/s^2 Calculate the average value of gravitational acceleration for part (1): (5.862 + 6.5136)/2 = 6.1878 m/s^2 Calculate the percent discrepancy between the average value of g and the theoretical value of g, which is 9.81 m/s 2 . (9.81-6.1878)/6.1878 * 100 = 58.54= .59% Part 2: One way motion with friction. Derive equation for the acceleration using equations (2) and (3) from Introduction and Theory. Calculate the theoretical acceleration of the cart. Assume that the kinetic friction force Fk = μk *Mg , where is M is the total mass of the cart and μk the coefficient of kinetic friction which is set up as 0.07 in the virtual lab. Run : 9.81[(50-0.07*250)]/300= 1.063% Run2: 9.81[(50-0.07*350)]/400= 0.63% Calculate the percent discrepancy between the theoretical and experimental values of acceleration: Run 1: (0.3580-1.063)/1.063 * 100= 66% Run 2: (0.1828-0.63)/0.63 *100= 71% Part 3. Two – way motion with friction. Calculate the average acceleration of your two slopes for each run of Part (3): Run1: 2.5+0.5129/2= 1.5096 m/s^2 Run 2: 3.026+1.177/2= 2.1015 m/s^2
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