Does a standing wave have equal amounts of kinetic and potential energies?

Question

Question

science physics

Answer 1

Answer #1

No.

Consider a standing wave. At the antinodes of the wave the string element is always horizontal, and therefore

one may expect that there is no potential energy. The

kinetic energy of the same string element is zero at maximum displacement, and is maximal at zero displacement.

Therefore, the total mechanical energy of the string element is not constant: it oscillates between a maximal value at

zero displacement and zero value at maximal displacement.

Hence, a standing wave does not have equal amount of Kinetic and potential energy

Answer 2

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