Lab Report JACKSONMITTON - Copy

Jackson Mitton Lab Partner: Eric Cheng 9/20/2023 Uniform Acceleration Lab Report Introduction: There are two forces that act on an object on an incline. Gravitational force and friction. The point of this lab is to focus on the uniform acceleration of an object on an incline in respect to gravity. We must be able to calculate the average acceleration of an object on an incline using the angle of the incline, gravitational force, and more to understand the acceleration of a descending object on a ramp. Experimental Methods: This section is the methods used in greater detail outside of what is stated in the lab manual to account for possible systematic errors. Before beginning the trial runs on the ramp, we measured the heights and lengths of the ramp to be able to calculate the angle of the ramp. The uncertainties of this data were 0.05 cm per measurement, using the measuring stick the measured millimeters as its smallest unit. After setting up Logger Pro , we had to make sure that the cart was released at the exact time that the motion detector was activated but there was a delay in activation. So, to sync the trials up properly, we first activated the detector and released the cart down the ramp at approximately 1 second after the detector was activated. Another place for systematic errors when Logger Pro would collect data via the motion detector is when the cart would contact the elastic rubber cord, causing the entire ramp to slide forward by a few centimeters. When this happened, we noticed a spike in the recorded velocity over time graph. To amend this error, we held down the bottom of the ramp in place during each trial. Results: Ramp Measurements: Weight of cart: 521.65 g H1: 8.3cm + .05cm H2: 16.8cm + .05cm S: 169.4cm + .05cm To get the angle of the ramp we used this equation: h 2 − h 1 S = sinϴ. Which looks like this when you plug in the values: 16.8 − 8.3 169.4 = 0.05 Trials Acceleration UP (m/s^2) Acceleration DOWN (m/s^2) 1 0.6290 0.4987 2 0.6245 0.5459 3 0.6233 0.5795 4 0.6268 0.5490 5 0.6225 0.5546

Jackson Mitton Lab Partner: Eric Cheng 9/20/2023 6 0.6304 0.5530 To find the average acceleration of the cart, you would add all trials data (both up and down) and divide it by 12. Which looks like this: ( ∑ of a up + ∑ of a down ) 12 = 0.5884 m s 2 Or this could be done by taking the means of both acceleration up and acceleration down, adding them together and dividing this by two. Average acceleration UP: 0.6261 m/s^2 Average acceleration DOWN: 0.5468 m/s^2 Uncertainty for acceleration UP: 0.0036 m/s^2 Uncertainty for acceleration DOWN: 0.01078 m/s^2 Uncertainty for AVERAGE acceleration: 0.00714 m/s^2 G down was calculated as shown below: g down = a down sinθ = 0.5468 .05 = 10.93 The discrepancy was calculated by subtracting g down by the force of gravity (9.8 m/s^2): 10.93 − 9.8 = 1.13 This was the graph of the first recorded trial: