waves are patterns of motion that carry energy from one place to another. some examples of waves include…

waves are patterns of motion that carry energy from one place to another. some examples of waves include sound waves, water waves, and light waves. a simple wave has a repeating pattern with a specific wavelength, frequency, and amplitude.\nthe energy of a wave is directly related to its amplitude and its frequency.\n• the greater the amplitude of a wave, the more energy it has. for example, if the height of a sound wave increases, each wave will have more energy (and the sound will be louder).\n• the greater the frequency of a wave, the more energy it has. for example, if you move the end of a jump rope up and down, a wave is produced. to increase the frequency, you have to move the rope more rapidly, which requires you to exert more energy.\nshow what you know about waves by answering the questions below. you can assume that the waves in each set are traveling at the same speed.\n1. wave a wave b\nwhich wave has more energy? explain why.\n2. wave c wave d\nwhich wave has more energy? explain why.

waves are patterns of motion that carry energy from one place to another. some examples of waves include sound waves, water waves, and light waves. a simple wave has a repeating pattern with a specific wavelength, frequency, and amplitude.\nthe energy of a wave is directly related to its amplitude and its frequency.\n• the greater the amplitude of a wave, the more energy it has. for example, if the height of a sound wave increases, each wave will have more energy (and the sound will be louder).\n• the greater the frequency of a wave, the more energy it has. for example, if you move the end of a jump rope up and down, a wave is produced. to increase the frequency, you have to move the rope more rapidly, which requires you to exert more energy.\nshow what you know about waves by answering the questions below. you can assume that the waves in each set are traveling at the same speed.\n1. wave a wave b\nwhich wave has more energy? explain why.\n2. wave c wave d\nwhich wave has more energy? explain why.

Answer

Explanation:

Step1: Analyze Wave A and Wave B amplitudes

Wave A has a larger amplitude (maximum displacement from equilibrium is greater, around 4 - 5 cm compared to Wave B's around 2 cm). Since energy is directly related to amplitude and waves travel at same speed, larger amplitude means more energy.

Step2: Analyze Wave C and Wave D frequencies

Wave C has a higher frequency (more wave - cycles in the same horizontal distance compared to Wave D). Since energy is directly related to frequency and waves travel at same speed, higher frequency means more energy.

Answer:

  1. Wave A has more energy because it has a larger amplitude than Wave B, and the energy of a wave is directly related to its amplitude when the speed is constant.
  2. Wave C has more energy because it has a higher frequency than Wave D, and the energy of a wave is directly related to its frequency when the speed is constant.