SUMMARY
The total energy of a 1.3 kg object oscillating in simple harmonic motion on a spring with a force constant of 410.0 N/m is calculated using the formula E_tot = (1/2)m(v_max)^2. Given the maximum speed (v_max) of 0.7 m/s, the total energy can be determined without needing to calculate the maximum displacement (x). The total energy is equivalent to both the kinetic and potential energy at maximum displacement, confirming that only one formula is necessary for the calculation.
PREREQUISITES
- Understanding of simple harmonic motion principles
- Familiarity with the concepts of kinetic and potential energy
- Knowledge of the formula for total energy in oscillatory systems
- Basic algebra for manipulating equations
NEXT STEPS
- Study the derivation of the total energy formula in simple harmonic motion
- Explore the relationship between force constant and oscillation frequency
- Learn about energy conservation in oscillatory systems
- Investigate real-world applications of simple harmonic motion in engineering
USEFUL FOR
Students studying physics, educators teaching mechanics, and engineers applying principles of oscillatory motion in design and analysis.