Hello, can you please help me with this. Based on the first page can you please help me fill out table 2 completely ñ. Thanks (: **Pendulum Experiment: Determining the Period****Objective:**Investigate if the mass of a pendulum affects its period.**Pendulum Period Formula:**\[ T = 2\pi \sqrt{\frac{L}{g}} \]Where:- \( T \) = period (in seconds)- \( L \) = length of the pendulum (in meters)- \( g \) = acceleration due to gravity (9.8 m/s²)**Laboratory Report**1. **Free Body Diagram:** - A pendulum is depicted with forces: - \( T \) = Tension - \( RF \) = Restoring Force - \( W \) = Weight**Data and Calculations Table 1:**| Mass (kg) | T1(s) | T2(s) | T3(s) | T\(_{\text{average}}\)(s) | % Error ||-----------|-------|-------|-------|------------------|---------|| 0.0500 | 1.9175| 1.9144| 1.9138| 1.9153 | -4.24 || 0.1000 | 1.9293| 1.9911| 1.9278| 1.9494 | 2.53 || 0.2000 | 1.9261| 1.9376| 1.9305| 1.9314 | -3.43 |- Length \( L \) = 87 cm = 0.87 m2. **Calculate the period \( T \) for \( L \):** - \( T_{\text{standard}} = 1.8711 \) sec3. **% Error Calculation:** \[ \% \text{error} = \frac{\left| T_{\text{average}} - T_{\text{standard}} \right|}{T_{\text{standard}}} \times 100 = 3.255\% \]5. **Analysis:** - **Does the period depend on mass?** - The period is only a function of \( L \) and \( g \). There is no dependence of mass on the period.**Calculation Details:**- \( T_{\text{average ## Table 2| L (m) | Measured Period Tₘ (s) | Measured Period Squared T₂ₘ (s²) | Calculated Period Tₓ (s) | % error = (Tₘ - Tₓ) / Tₓ x 100 ||-------|------------------------|---------------------------------|--------------------------|--------------------------------|| 0.870 | 1.934 | | | || 0.825 | 1.904 | | | || 0.800 | 1.864 | | | || 0.740 | 1.805 | | | || 0.690 | 1.729 | | | |### Instructions6. **Graphing Period Squared vs. Pendulum Length:** - Make a graph of period squared (on Y-axis) versus length (on X-axis) of the pendulum. - This graph is supposed to display a straight line. Explain why.7. **Drawing the Best Fit Line:** - Draw the best fit line without hitting any data points. - Use two points on the line that are not data points to calculate its slope. - Clearly show calculations and include units.8. **Calculating Gravitational Acceleration (g):** - Calculate g from the slope. - Explain how the slope is related to g.9. **Determining the Percentage Error:** - Calculate the percentage error between the measured g and the standard value of g = 9.80 m/s². - Use the formula: % error = | Measured g - g_standard | / g_standard × 100

Name: Hello, can you please help me with this. Based on the first page can y
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Hello, can you please help me with this. Based on the first page can you please help me fill out table 2 completely ñ. Thanks (: **Pendulum Experiment: Determining the Period****Objective:**Investigate if the mass of a pendulum affects its period.**P