4.1. Total Energy in Progressive Waves

Try these first

1. 1.

   What are the two main types of energy in waves?

   Hint

   Think about what energy comes from motion vs. position.

2. 2.

   In which direction does potential energy always act?

   Hint

   Consider height and gravitational effects.

3. 3.

   What is the formula for calculating kinetic energy in waves?

   • KE = 1/2 mv²
   • KE = mv
   • KE = mgh

   Hint

   Think about what energy relates to motion.

4. 4.

   Is the total energy in waves doubled when we double the amplitude?

   • True
   • False

   Hint

   Review how changes in amplitude influence total energy.

5. 5.

   Calculate the energy contained in a wave with an amplitude of 3m. Use γ as 9.81 kN/m³.

   Hint

   Don’t forget to square the amplitude first!

6. 6.

   Discuss the effects of wave energy on coastal infrastructure during a storm, considering variable wave heights.

   Hint

   How does energy change with height and wave strength?