Atransverse harmonic wave travels on a rope according to the following expression:

y(x, t) = 0.14sin(2.1x + 17.7t)

the mass density of the rope is μ = 0.104 kg/m. x and y are measured in meters and t in seconds.

1)

what is the amplitude of the wave?

m

your submissions:

2)

what is the frequency of oscillation of the wave?

hz

your submissions:

3)

what is the wavelength of the wave?

m

your submissions:

4)

what is the speed of the wave?

m/s

your submissions:

5)

what is the tension in the rope?

n

your submissions:

6)

at x = 3.4 m and t = 0.48 s, what is the velocity of the rope? (watch your sign)

m/s

your submissions:

7)

at x = 3.4 m and t = 0.48 s, what is the acceleration of the rope? (watch your sign)

m/s2

your submissions:

8)

what is the average speed of the rope during one complete oscillation of the rope?

m/s

your submissions:

9)

in what direction is the wave traveling?

+x direction

-x direction

+y direction

-y direction

+z direction

-z direction

your submissions:

10)

on the same rope, how would increasing the wavelength of the wave change the period of oscillation?

the period would increase

the period would decrease

the period would not change

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a sonic boom is a loud boom that breaks the sound barrier

explanation:

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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