The total energy of a pendulum is 50J. What will be its kinetic energy at the mean position?
Correct answer: A. 50J
- A. 50J
- B. 25J
- C. 0J
- D. None of these
Explanation
At the mean position, the pendulum's velocity is maximum, and its potential energy is minimum (zero). Therefore, the total energy at the mean position is entirely kinetic energy.Energy Conservation in SHM:The total mechanical energy of a simple harmonic oscillator (like a pendulum) remains constant throughout its motion. This means that the sum of its kinetic energy (KE) and potential energy (PE) is always equal to the total energy (E):E = KE + PEAt the mean position, PE = 0. Therefore, the kinetic energy at the mean position is equal to the total energy:KE = E = 50J
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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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