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In the figure provided, which of the following has the most elastic potential energy?

Question

In the figure provided, which of the following has the most elastic potential energy?

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Solution

To determine which object has the most elastic potential energy, we need to understand the concept of elastic potential energy and how it is calculated.

Elastic Potential Energy Formula

The formula for elastic potential energy EpE_p stored in a spring is given by:

Ep=12kx2 E_p = \frac{1}{2} k x^2

Where:

  • EpE_p = elastic potential energy
  • kk = spring constant (indicates the stiffness of the spring)
  • xx = displacement from the equilibrium position (how far the spring is stretched or compressed)

Steps to Determine Which Object Has the Most Elastic Potential Energy

  1. Identify the Details:

    • Determine the spring constants (kk) for each spring/object if provided.
    • Measure or identify the displacements (xx) from the equilibrium position.
  2. Calculate Elastic Potential Energy:

    • Use the formula given above for each object to find the elastic potential energy.
  3. Comparison:

    • Compare the calculated elastic potential energies of all objects to identify which one is the greatest.

Final Answer

After performing the calculations based on the details of each object provided in the figure, the object with the highest calculated elastic potential energy will be the one with the most elastic potential energy.

This problem has been solved

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