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THIS DATA IS FOR THE k MEASUREMENT. k = force constant. PLOT Fs VS x'.

THIS DATA IS FOR THE k MEASUREMENT. k = force constant. PLOT Fs VS x'.

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Using the numbers 110.1, 121.8, 132.3, 143.0, 153.2 please fill in the table in the image attached
### Data for k Measurement The table below presents data used for measuring the force constant \( k \). This involves plotting the force \( F_s \) against displacement \( x' \). | Mass (M) in kg | Force \( F_s \) in N (using \( g = 9.8 \, \text{m/s}^2 \)) | Displacement \( x' \) in m | |----------------|--------------------------------------------------------------|----------------------------| | 0.100 | 0.98 | 0 (m) | | 0.200 | 1.96 | | | 0.300 | 2.94 | | | 0.400 | 3.92 | | | 0.500 | 4.90 | | ### Explanation - **Column 1 (Mass in kg):** Shows the mass of the object measured in kilograms. - **Column 2 (Force \( F_s \) in N):** Displays the force in newtons calculated using the gravitational constant \( g = 9.8 \, \text{m/s}^2 \). - **Column 3 (Displacement \( x' \) in m):** Indicates the displacement in meters. The initial displacement is 0. ### Graphical Representation Students are instructed to plot the force \( F_s \) on the vertical axis against the displacement \( x' \) on the horizontal axis. Through this exercise, the force constant \( k \) can be determined from the slope of the graph.
Transcribed Image Text:### Data for k Measurement The table below presents data used for measuring the force constant \( k \). This involves plotting the force \( F_s \) against displacement \( x' \). | Mass (M) in kg | Force \( F_s \) in N (using \( g = 9.8 \, \text{m/s}^2 \)) | Displacement \( x' \) in m | |----------------|--------------------------------------------------------------|----------------------------| | 0.100 | 0.98 | 0 (m) | | 0.200 | 1.96 | | | 0.300 | 2.94 | | | 0.400 | 3.92 | | | 0.500 | 4.90 | | ### Explanation - **Column 1 (Mass in kg):** Shows the mass of the object measured in kilograms. - **Column 2 (Force \( F_s \) in N):** Displays the force in newtons calculated using the gravitational constant \( g = 9.8 \, \text{m/s}^2 \). - **Column 3 (Displacement \( x' \) in m):** Indicates the displacement in meters. The initial displacement is 0. ### Graphical Representation Students are instructed to plot the force \( F_s \) on the vertical axis against the displacement \( x' \) on the horizontal axis. Through this exercise, the force constant \( k \) can be determined from the slope of the graph.
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