4.3. Kinetic Energy Calculation

Try these first

1. 1.

   What is the basic formula for kinetic energy?

   Hint

   Think about the factors affecting energy when an object is in motion.

2. 2.

   What does potential energy depend on in the context of water waves?

   Hint

   Refer back to the discussion about wave height and displacement.

3. 3.

   What does kinetic energy depend on?

   • Mass and Volume
   • Velocity and Force
   • Mass and Velocity

   Hint

   Remember the kinetic energy formula.

4. 4.

   True or False: Potential energy in waves is zero when waves are absent.

   • True
   • False

   Hint

   Consider what happens to energy when waves are not present.

5. 5.

   A wave with an amplitude of 1.5 m travels through water with a density of 1000 kg/m³. Calculate the total energy per unit surface area at the crest and trough.

   Hint

   Use the total energy formula appropriately.

6. 6.

   If a water wave has a kinetic energy of 500 J and increases in speed, resulting in a final velocity of 8 m/s, what was the mass of the water that caused this energy?

   Hint

   Remember to rearrange the kinetic energy formula correctly.