The wavelength of a water wave is 54 m. It has a frequency of 0.03 Hz. What is the velocity of the wave?

1.62 m/s

Explanation:

Wavelength of the water wave= 54 m

The frequency is 0.03 Hz

Therefore the velocity can be calculated as follows

Velocity= frequency × wavelength

= 0.03 × 54

= 1.62 m/s

Correct statements are:

1) The potential energy at the top of the ball’s motion is 18 J.
3) The kinetic energy increases as the potential energy decreases.
4)The kinetic energy decreases as the potential energy increases.
5)The total mechanical energy of the ball stays constant.

Coming towards explanation,

According to law of conservation of energy, energy is neither created nor destroyed but it can be transformed from one form to another.

It also states that total mechanical energy of the system always remains constant( net external force must be zero ).

Hence, option 2 and 6 are strike out.
Hope this cleared your doubt, feel free to ask questions regarding this and have a nice day/night ahead! :)