henri draws a wave that has a 4 cm distance between the midpoint and the trough. geri draws a wave that has…

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 geris waves? henris wave has a higher amplitude and more energy. henris wave and geris wave have the same amplitude and the same energy. henris wave and geris wave have the same amplitude, but geris has more energy. geris wave has a higher amplitude and more energy.

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 geris waves? henris wave has a higher amplitude and more energy. henris wave and geris wave have the same amplitude and the same energy. henris wave and geris wave have the same amplitude, but geris has more energy. geris wave has a higher amplitude and more energy.

Answer

Explanation:

Step1: Calculate Henri's wave amplitude

The distance between mid - point and trough is amplitude. So Henri's wave amplitude $A_{H}=4$ cm.

Step2: Calculate Geri's wave amplitude

The vertical distance from trough to crest is $2A$. Given it is 8 cm, so amplitude $A_{G}=\frac{8}{2}=4$ cm.

Step3: Analyze energy relationship

Since $A_{H} = A_{G}=4$ cm, and energy of a wave is proportional to the square of the amplitude. So they have the same amplitude and the same energy.

Answer:

Henri's wave and Geri's wave have the same amplitude and the same energy.