John ties a 15-m-long, 5 kg rope to a wall and stretches it out horizontally, placing it under a tension of 2000 n, which gives the rope a wave speed of 77.5 m/s. he then creates a wave in the rope by oscillating one end.

a) what is the frequency of the third harmonic for this rope?
b) what is the fundamental frequency of this rope?
c) what is the frequency of the third harmonic for this rope?

(a) and (c) Third harmonic frequency will be 7.75 Hz

(b) Fundamental frequency will be 2.5833 Hz

Explanation :

Mass of the rope m = 5 kg

(b) We have given length of the rope l = 15 m

Wave speed v = 77.5 m /sec

We know that frequency is given by

Here

So

(a) and (c) Frequency of the third harmonic of the rope will be = 3× fundamental frequency = 3×2.5833 = 7.75 Hz

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.