Which of the following equations shows maximum kinetic, maximum potential and total energies for a spring mass system?
Correct answer: B. E = 1/2 kxo2
- A. E = mgh
- B. E = 1/2 kxo2
- C. E = 1/2 mv2
- D. E = -GMm/R
Explanation
In a spring-mass system, the maximum potential energy occurs when the spring is stretched or compressed to its maximum displacement, which is represented by x in the equation. The maximum kinetic energy occurs when the object is at its equilibrium position and moving with maximum velocity. The equation represents the potential energy stored in the spring ( 1/2 kx2 ) and is commonly used to calculate the total mechanical energy of a spring-mass system.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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