Using the data in Table 1, calculate the extension e of the spring when L = 5.00 N. Plot a graph of L (N)…

Question

Using the data in Table 1, calculate the extension e of the spring when L = 5.00 N. Plot a graph of L (N) against e (cm).

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Here are the solutions for the problem: b) Calculate the extension e of the spring using the equation e = (l − l₀) when L = 5.00 N. Record this value of e in Table 1. Step 1: Identify the original length (l₀) of the spring. From Table 1, when the load L = 0.00 N, the length l = 2.1 cm. So, the original length l₀ = 2.1 cm. Step 2: Identify the length (l) when the load L = 5.00 N. From Table 1, when L = 5.00 N, the length l = 23.7 cm. Step 3: Calculate the extension (e) using the formula e = l − l₀. e = 23.7 cm − 2.1 cm; e = 21.6 cm; The extension e when L = 5.00 N is 21.6 cm. The completed Table 1 with this value is: L/N — l/cm — e/cm0.00 — 2.1 — 0.0 1.00 — 6.0 — 3.9 2.00 — 10.6 — 8.5 3.00 — 14.9 — 12.8 4.00 — 19.3 — 17.2 5.00 — 23.7 — 21.6 c) Plot a graph of L (N) (y-axis) against e (cm) (x-axis). Start both axes at the origin (0, 0). Draw the best-fit line. To plot the graph, use the following data points (e/cm, L/N): (0.0, 0.0) (3.9, 1.0) (8.5, 2.0) (12.8, 3.0) (17.2, 4.0) (21.6, 5.0) Step 1: Choose appropriate scales for the axes. For the x-axis (extension e in cm): Let 1 large square (5 small squares) represent 2.5 cm. This means 1 small square represents 0.5 cm. For the y-axis (load L in N): Let 1 large square (5 small squares) represent 0.5 N. This means 1 small square represents 0.1 N. Step 2: Label the axes clearly with their quantities and units (e/cm on the x-axis and L/N on the y-axis). Mark the origin (0,0). Step 3: Plot each data point on the graph paper using the chosen scales. For example: (0.0, 0.0) is at the origin. (3.9 cm, 1.0 N) will be at 3.9/0.5 = 7.8 small squares along the x-axis and 1.0/0.1 = 10 small squares along the y-axis. (8.5 cm, 2.0 N) will be at 8.5/0.5 = 17 small squares along the x-axis and 2.0/0.1 = 20 small squares along the y-axis. (12.8 cm, 3.0 N) will be at 12.8/0.5 = 25.6 small squares along the x-axis and 3.0/0.1 = 30 small squares along the y-axis. (17.2 cm, 4.0 N) will be at 17.2/0.5 = 34.4 small squares along the x-axis and 4.0/0.1 = 40 small squares along the y-axis. (21.6 cm, 5.0 N) will be at 21.6/0.5 = 43.2 small squares along the x-axis and 5.0/0.1 = 50 small squares along the y-axis. Step 4: Draw the best-fit line. This should be a straight line passing through the origin (0,0) and as close as possible to all the plotted points.

Using the data in Table 1, calculate the extension e of the spring when L = 5.00 N. Plot a graph of L (N) against e (cm).

Answer

Step-by-step solution

Part b· 3 steps

Identify the original length ( $l_0$ ) of the spring.

Identify the length ( $l$ ) when the load $L = 5.00$ N.

Calculate the extension ( $e$ ) using the formula $e = l - l_0$ .

Part c· 4 steps

Choose appropriate scales for the axes.

Label the axes clearly with their quantities and units ( $e$ /cm on the x-axis and $L$ /N on the y-axis).

Plot each data point on the graph paper using the chosen scales.

Draw the best-fit line.

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Using the data in Table 1, calculate the extension e of the spring when L = 5.00 N. Plot a graph of L (N) against e (cm).

Answer

Step-by-step solution

Part b· 3 steps

Identify the original length (l0l_0l0​) of the spring.

Identify the length (lll) when the load L=5.00L = 5.00L=5.00 N.

Calculate the extension (eee) using the formula e=l−l0e = l - l_0e=l−l0​.

Part c· 4 steps

Choose appropriate scales for the axes.

Label the axes clearly with their quantities and units (eee/cm on the x-axis and LLL/N on the y-axis).

Plot each data point on the graph paper using the chosen scales.

Draw the best-fit line.

Try one yourself

Still stuck on this one?

More Physics Questions

Identify the original length ( $l_0$ ) of the spring.

Identify the length ( $l$ ) when the load $L = 5.00$ N.

Calculate the extension ( $e$ ) using the formula $e = l - l_0$ .

Label the axes clearly with their quantities and units ( $e$ /cm on the x-axis and $L$ /N on the y-axis).