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3 years ago

The diagram below shows some waves traveling along a rope.

Physics

1 answer:

Harrizon [31]3 years ago

3 0

-- Well first of all, the waves are <em>transverse waves</em>. The fibers in the rope, and the hand that generates the waves, are moving up and down, but the wave is moving to the right, towards the wall. These directions are perpendicular.

-- Later on, after the waves reflect from the wall and travel back toward the hand, there are going to be <em>standing waves</em> on the rope. But this is probably beyond the scope of the question.

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3 years ago

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3 years ago

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Genrish500 [490]

Answer:

a) the distance between her and the wall is 13 m

b) the period of her up-and-down motion is 6.5 s

Explanation:

Given the data in the question;

wavelength λ = 26 m

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a) How far from the wall is she?

Now, The first antinode is formed at a distance λ/2 from the wall, since the separation distance between the person and wall is;

x = λ/2

we substitute

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x = 13 m

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b) What is the period of her up-and-down motion?

we know that the relationship between frequency, wavelength and wave speed is;

v = fλ

hence, f = v/λ

we also know that frequency is expressed as the reciprocal of the time period;

f = 1/T

Hence

1/T = v/λ

solve for T

Tv = λ

T = λ/v

we substitute

T = 26 m / 4 m/s

T = 6.5 s

Therefore, the period of her up-and-down motion is 6.5 s

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