What is the potential energy stored in a spring when it is compressed by a dista

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Question: What is the potential energy stored in a spring when it is compressed by a distance x?

Options:

Correct Answer: 1/2 kx²

Solution:

The potential energy (PE) stored in a spring is given by PE = 1/2 kx², where k is the spring constant and x is the displacement.

What is the potential energy stored in a spring when it is compressed by a distance x?

What is the potential energy stored in a spring when it is compressed by a distance x?

Step 1: Understand that potential energy in a spring is related to how much it is compressed or stretched.
Step 2: Identify the formula for potential energy in a spring, which is PE = 1/2 kx².
Step 3: Recognize that 'k' is the spring constant, which tells you how stiff the spring is.
Step 4: Understand that 'x' is the distance the spring is compressed or stretched from its resting position.
Step 5: To find the potential energy, you need to know the values of 'k' and 'x'.
Step 6: Plug the values of 'k' and 'x' into the formula PE = 1/2 kx².
Step 7: Calculate the result to find the potential energy stored in the spring.

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