4.4. Total Energy from Potential and Kinetic Energy

Try these first

1. 1.

   What is the formula for kinetic energy?

   Hint

   Consider the relationship between mass and velocity.

2. 2.

   Define potential energy in the context of waves.

   Hint

   Think about how height in fluids impacts energy.

3. 3.

   What is the expression for total energy in waves?

   • γa²/2
   • γa²/4
   • ρgh

   Hint

   Recall the derived formulas you learned.

4. 4.

   Kinetic energy is related to which of the following?

   • True
   • False

   Hint

   Think about motion versus position.

5. 5.

   A rectangular water tank filled with a wave of height 3m and density of 1000 kg/m³ is analyzed. Calculate the potential energy over a section area of 10m².

   Hint

   Make sure you’re considering depth in relation to wave height.

6. 6.

   For a wave of amplitude 1m traveling with a group velocity calculated as 3m/s, analyze the kinetic energy and relate it to structural resilience under hydraulic engineering tasks.

   Hint

   Relate how the kinetic impacts translate into engineering design.