Question

A. Label the following properties on the wave below: rarefaction, wavelength, and compression. (Image attached)

b. Calculate the speed of a wave that has a frequency of 2100 Hz and a wavelength of 3.0 m.


c. A boat is stranded a short distance from shore near the base of a cliff. A person on the cliff considers dropping rocks into the water near the boat to create waves to push the boat to shore.


d. Describe the motion of the boat and explain why the person's plan will not hep the boat reach shore. Write two or three sentences to explain your reasoning.

Answer 1

a) Rarefactions are in the green frames, compressions in the purple. Wavelength is a distance between same points of the two corresponding rarefactions/compressions.

b) v=wavelength times frequency=3*2100= 6300 m/s.

c) Bad idea that most likely won't work. Waves on water move only in vertical direction. But maybe a high wave will lift the boat and rescue it.

d) Ah, he needs wants the boat reach the shore, I thought it stuck and the person just wants to make it float. Yes, that's not the best idea, see explanation above

Answer 2

PART a)

Rarefraction : It is the region of lower density where particles move away from each other

Wavelength : distance between two consecutive compression or rarefaction is known as wavelength

Compression : The region of higher density or the region where particles comes closer to each other is compression

Part b)

Here it is given that

`f = 2100 Hz`

`\lambda = 3.0 m`

So here we know that

`wave speed = frequency * wavelength`

[tex]v = 2100(3) = 6300 m/s

PART c)

As the person drop the stone in the water it creates waves on the surface of water

These waves can move the boat up and down at its own position and it can not displace the boat so it will not move to the shore

PART D)

When stone is dropped in the water it creates waves. these waves when travel through the water and disturb the boat

Due to this disturbance boat starts moving up and down at its own position and it will not displace from its position.

So by this type of waves it will not move towards the shore