Calculate the strain on a wire given its original length is 100 cm and its extension is 0.008 cm.

May 19, 2026Physics

ScanSolve AI Answer

May 19, 2026

Answer

0.00008

Hey Peter_Schemer, good to see you again.

To find the strain on the wire, we use the formula for strain, which is the ratio of the extension to the original length.

Step 1: Identify the given values. Original length, $L_0 = 100 \text{ cm}$ Extension, $\Delta L = 0.008 \text{ cm}$

Step 2: State the formula for strain. Strain ( $\epsilon$ ) is given by: $\epsilon = \frac{\Delta L}{L_0}$

Step 3: Substitute the values into the formula and calculate the strain. $\epsilon = \frac{0.008 cm}{100 cm}$ $\epsilon = 0.00008$ Strain is a dimensionless quantity, as it is a ratio of two lengths.

The strain on the wire is $\boxed{0.00008}$ .

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Quick Answer

Hey Peter_Schemer, good to see you again. To find the strain on the wire, we use the formula for strain, which is the ratio of the extension to the original length.

Asked on May 19, 2026Physics

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 AnswerAnswered on May 19, 2026

Hey Peter_Schemer, good to see you again. To find the strain on the wire, we use the formula for strain, which is the ratio of the extension to the original length. Step 1: Identify the given values. Original length, L_0 = 100 cm Extension, L = 0.008 cm Step 2: State the formula for strain. Strain () is given by: = ( L)/(L_0) Step 3: Substitute the values into the formula and calculate the strain. = 0.008 cm100 cm = 0.00008 Strain is a dimensionless quantity, as it is a ratio of two lengths. The strain on the wire is 0.00008. Send me the next one 📸