Question

having problems staying logged in or are you experiencing issues? please visit our troubleshoot section for solutions. the graph shows the electrical resistance of a wire as a function of its length. use the graph to determine the resistance (in milliohms) of an 8.0-m long wire. graph: resistance (milliohm) vs length (m), y-axis 0–150, x-axis 0–10, linear data points. student name: |r@ss.w**s.nt, activity: extrapolation, progress report (stars/buttons: help me!, view directions, to main menu, check answer), answer:

Explanation:

Step1: Analyze the graph's trend

The graph is a straight line through the origin, so resistance \( R \) is proportional to length \( L \) ( \( R = kL \), where \( k \) is the slope).

Step2: Find the slope using a point

Take the point at \( L = 6 \, \text{m} \), \( R = 90 \, \text{milliOhm} \) (approx from the graph). Slope \( k=\frac{R}{L}=\frac{90}{6} = 15 \, \text{milliOhm/m} \).

Step3: Calculate resistance at \( L = 8 \, \text{m} \)

Using \( R = kL \), substitute \( k = 15 \) and \( L = 8 \): \( R=15\times8 = 120 \, \text{milliOhm} \). (Alternatively, by linear extrapolation from the graph, at \( x = 8 \), the \( y \)-value (resistance) is 120.)

Answer:

120