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SHM energy

E = ½kA² = ½mω²A²

Where: A = area (m²) / amplitude, E = energy (J) / electric field (N/C), k = spring constant (N/m) / Coulomb constant

Solved example

Given: A = 7, k = 5
Find: E (energy (J) / electric field (N/C))

  1. Formula: E = A²·k/2
  2. Substitute the values: E = 5·7²/2
  3. Result: E = 122.5 J

Answer: E = 122.5 J

Calculator

How to calculate SHM energy

  1. Write down the formula: E = ½kA² = ½mω²A².
  2. Note the known values (A, k).
  3. Substitute them and simplify to find E.
  4. Use the calculator above to solve for any letter.

Frequently asked questions

What is the formula for SHM energy?

The formula is E = ½kA² = ½mω²A², where A = area (m²) / amplitude, E = energy (J) / electric field (N/C), k = spring constant (N/m) / Coulomb constant.

What is SHM energy when A = 7, k = 5?

E = 122.5 J. Substitute the values into E = ½kA² = ½mω²A² and simplify.

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