What is the total mechanical energy of a simple harmonic oscillator with a mass

What is the total mechanical energy of a simple harmonic oscillator with a mass of 1 kg, amplitude of 0.1 m, and spring constant of 100 N/m? (2022)

What is the total mechanical energy of a simple harmonic oscillator with a mass of 1 kg, amplitude of 0.1 m, and spring constant of 100 N/m? (2022)

Step 1: Identify the formula for total mechanical energy of a simple harmonic oscillator, which is E = (1/2)kA².
Step 2: Identify the values given in the problem: mass = 1 kg (not needed for this calculation), amplitude A = 0.1 m, and spring constant k = 100 N/m.
Step 3: Substitute the values into the formula: E = (1/2)(100)(0.1)².
Step 4: Calculate (0.1)², which is 0.01.
Step 5: Multiply 100 by 0.01 to get 1.
Step 6: Multiply 1 by (1/2) to get 0.5.
Step 7: Conclude that the total mechanical energy E is 0.5 J.

No concepts available.