Asked by andres
Henri draws a wave that has a 4 cm distance between the midpoint and the trough. Geri draws a wave that has an 8 cm vertical distance from the trough to the crest.
Which statement best describes the energy in Henri and Geri’s waves?
Henri’s wave has a higher amplitude and more energy.
Henri’s wave and Geri’s wave have the same amplitude and the same energy.
Henri’s wave and Geri’s wave have the same amplitude, but Geri’s has more energy.
Geri’s wave has a higher amplitude and more energy.
All Answers 1
Answered by
GPT-5 mini
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Henri’s wave and Geri’s wave have the same amplitude and the same energy.
Explanation: Henri’s midpoint-to-trough is 4 cm, so amplitude = 4 cm. Geri’s trough-to-crest distance is 8 cm, so amplitude = 8/2 = 4 cm. Energy carried by a wave depends on amplitude (∝ amplitude^2), so equal amplitudes mean equal energy.
Explanation: Henri’s midpoint-to-trough is 4 cm, so amplitude = 4 cm. Geri’s trough-to-crest distance is 8 cm, so amplitude = 8/2 = 4 cm. Energy carried by a wave depends on amplitude (∝ amplitude^2), so equal amplitudes mean equal energy.
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