Which of the following statements about elastic potential energy stored in a str

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Question: Which of the following statements about elastic potential energy stored in a stretched wire is true?

Options:

Correct Answer: It is proportional to the square of the extension

Solution:

The elastic potential energy stored in a stretched wire is given by U = (1/2) * F * x, which is proportional to the square of the extension.

Which of the following statements about elastic potential energy stored in a stretched wire is true?

Which of the following statements about elastic potential energy stored in a stretched wire is true?

Correct Answer: The elastic potential energy is proportional to the square of the extension.

Step 1: Understand that elastic potential energy is the energy stored in a material when it is stretched or compressed.
Step 2: Know the formula for elastic potential energy in a stretched wire, which is U = (1/2) * F * x.
Step 3: Identify the variables in the formula: U is the elastic potential energy, F is the force applied, and x is the extension (how much the wire is stretched).
Step 4: Recognize that the formula shows that the energy (U) depends on both the force (F) and the extension (x).
Step 5: Understand that the extension (x) affects the energy in a way that if you double the extension, the energy increases by a factor of four, because energy is proportional to the square of the extension.

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