AngelN (Newton)σNFg (Newton)σfWeight (Newton29.3o1.777 0.8544 1.963Fill out rest of table. The table is that of slope forces.N = Normal Forcegot from equation N = m × AzAz = acceleration in z directionAz = (8.795 ± 0.022) m/s2m = mass m = (0.2016 kg ± 0.00584 kg)Fg = Force exerted by gravitygot from equation Fg = m×|Ay|Ay = acceleration in y direction Ay = (-4.253 ± 0.015) m/s2m = mass m = (0.2016 kg ± 0.00584 kg)The photo is the equation needed to be used to fill in the rest of the table. ## Data Analysis of Accelerometer and Force Measurements### Accelerometer GraphThe accelerometer readings are depicted in the first graph. It shows accelerations in three axes, but currently, the Ay (blue) and Az (green) axes are selected. The x-axis represents time (in seconds), and the y-axis shows acceleration (in m/s²).- **Selected Axes:** - Ay (blue line) - Az (green line)- **Key Statistics:** - Time Interval (Δt): 10.73500 seconds - **Ay:** - Mean (μ): -4.253 m/s² - Standard Deviation (σ): 0.015 m/s² - Acceleration (a): -45.654 m/s - Slope (s): 0.00 m/s³ (r²: 0.01) - **Az:** - Mean (μ): 8.795 m/s² - Standard Deviation (σ): 0.022 m/s² - Acceleration (a): 94.410 m/s - Slope (s): -0.00 m/s³ (r²: 0.00)### Force GraphThe second graph represents the force applied in the Y-axis. Here, the x-axis is time (in seconds), and the y-axis is force (in Newtons, N).- **Selected Axis:** - Fy (blue line)- **Key Statistics:** - Time Interval (Δt): 10.73500 seconds - Mean (μ): -1.026 N - Standard Deviation (σ): 0.030 N - Impulse (a): -11.018 Ns - Slope (s): -0.00 N/s (r²: 0.18)### Observations- The accelerations and forces are relatively constant over the observed time period, with small fluctuations.- The statistical data provides mean values, indicating tendencies in movement and force throughout the measurement duration.- The r² values suggest the linear fit's accuracy for slope measurements; close to zero indicates a negligible linear trend.These graphs help in understanding the dynamics of the system under observation, offering key insights into movements and forces in specific directions. The formula presented is:\[\sigma_C = \mu_C \sqrt{\left( \frac{\sigma_A}{\mu_A} \right)^2 + \left( \frac{\sigma_B}{\mu_B} \right)^2}\]This formula is typically used in the context of error propagation, specifically for the propagation of uncertainties in measurement. - \(\sigma_C\) represents the standard deviation or uncertainty of a calculated variable \(C\).- \(\mu_C\) denotes the mean or average value of the calculated variable \(C\).- \(\sigma_A\) and \(\sigma_B\) are the standard deviations or uncertainties of the variables \(A\) and \(B\), respectively.- \(\mu_A\) and \(\mu_B\) are the mean values of the variables \(A\) and \(B\).The formula calculates the uncertainty of the variable \(C\) by considering the uncertainties of the variables \(A\) and \(B\) using a square root of the sum of squares method.

Name: AngelN (Newton)σNFg (Newton)σfWeight (Newton29.3o1.777 0.8544 1.963Fil
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: AngelN (Newton)σNFg (Newton)σfWeight (Newton29.3o1.777 0.8544 1.963Fill out rest of table. The table is that of slope forces.N = Normal Forcegot from equation N = m × AzAz = acceleration in z directionAz = (8.795 ± 0.022) m/s2m = mass m = (0.2016 kg