Question

You are sitting on a very slowly sinking ship out at sea. All of the electronics of the ship are fried so you cannot radio for help. You decide to write a message, put it in a bottle,and throw it overboard. The waves have an amplitude of 0.4 m and their period is 5 How long will it take the waves to move the water and deliver your message in a bottle to land that is 3 km away?

Answer 1

The boat bobs up and down 7.5 times per minute on ocean waves with a wavelength of 40.0 m and a wave speed of 5.00 m/s, as calculated by the frequency of the waves.

Step-by-step explanation:

To determine how many times a minute a boat bobs up and down on ocean waves, you need to calculate the frequency of the waves. The frequency (f) can be found using the wave speed (v) and wavelength (λ) with the formula f = v / λ. Given that the wavelength (λ) is 40.0 m and the propagation speed (v) is 5.00 m/s, we find the frequency by dividing 5.00 m/s by 40.0 m. This results in a frequency of 0.125 Hz.

Now, to get the number of times the boat bobs up and down per minute, we convert the frequency to cycles per minute. Since 1 Hz is equal to 1 cycle per second, and there are 60 seconds in a minute, we multiply 0.125 cycles/second by 60 seconds/minute, which equates to 7.5 times per minute.