Question

What is the work done to stretch a string?

• A. \( \frac{1}{2} \times \text{load} \times \text{strain} \)
• B. \( \text{load} \times \text{strain} \)
• C. \( Y \times \text{strain} \)
• D. \( \frac{1}{2} \times Y \times \text{strain} \)

Hint:

The work done to stretch a string is calculated by using the elastic potential energy formula, where the work is proportional to the force applied and the displacement (strain) produced.

Answer 1

The Correct Option is A

When a string is stretched, the work done on the string is stored as potential energy. The work done in stretching the string is given by: \[ W = \frac{1}{2} F \times x \] Where: - \( F \) is the force applied (load), - \( x \) is the elongation (strain). Since the strain is proportional to the elongation \( x \), the work done is: \[ W = \frac{1}{2} \times \text{load} \times \text{strain} \] Thus, the correct expression for the work done to stretch the string is \( \frac{1}{2} \times \text{load} \times \text{strain} \).