This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Verify the extension values. The extension is calculated by subtracting the original length of the spring (at 0 N load) from the length of the spring at each load. The original length is 10.5 cm. • For 0 N: 10.5 cm - 10.5 cm = 0 cm • For 1 N: 12.5 cm - 10.5 cm = 2.0 cm • For 2 N: 15.0 cm - 10.5 cm = 4.5 cm • For 3 N: 17.5 cm - 10.5 cm = 7.0 cm • For 4 N: 19.5 cm - 10.5 cm = 9.0 cm • For 5 N: 21.5 cm - 10.5 cm = 11.0 cm The extension value for 5 N load in your table is 11.5 cm, which should be 11.0 cm. Step 2: Identify the variables for the axes. The task is to plot a graph of extension (cm) against load (N). • The load (N) is the independent variable and should be plotted on the x-axis. • The extension (cm) is the dependent variable and should be plotted on the y-axis. Step 3: List the data points to be plotted. Using the corrected extension value for 5 N, the points to plot are (Load, Extension): • (0 N, 0 cm) • (1 N, 2.0 cm) • (2 N, 4.5 cm) • (3 N, 7.0 cm) • (4 N, 9.0 cm) • (5 N, 11.0 cm) Step 4: Plot the graph. 1. Draw two perpendicular axes. Label the horizontal axis "Load (N)" and the vertical axis "Extension (cm)". 2. Choose appropriate scales for both axes. The x-axis should go from 0 N to at least 5 N, and the y-axis should go from 0 cm to at least 11.0 cm. 3. Plot each data point from Step 3 on the graph. 4. Draw a line of best fit through the plotted points. This line should be a straight line passing through the origin, as expected for a spring obeying Hooke's Law within its elastic limit. The corrected data for plotting is: |c|c| Load (N) & Extension (cm) \\ 0 & 0 \\ 1 & 2.0 \\ 2 & 4.5 \\ 3 & 7.0 \\ 4 & 9.0 \\ 5 & 11.0 \\ Send me the next one 📸