If 5J of work are done on a spring, compressing it by 12cm, what is the spring constant?

Standing waves are created in the four strings shown in Figure 25. All strings have the same mass per unit length and are under

nadezda [96]

Answer:

The rank of the frequencies from largest to smallest is

The largest frequency of oscillation is given by the string in option D

The second largest frequency of oscillation is given by the string in option B

The third largest frequency of oscillation is given by the string in option A

The smallest frequency of oscillation is given by the string in option C

Explanation:

The given parameters are;

The mass per unit length of all string, m/L = Constant

The tension of all the string, T = Constant

The frequency of oscillation, f, of a string is given as follows;

$f = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L}$

Where;

T = The tension in the string

m = The mass of the string

L = The length of the string

n = The number of overtones

$Therefore, \ {\sqrt{\dfrac{T}{m/L} } } = Constant \ for \ all \ strings = K$

For the string in option A, the length, L = 27 cm, n = 3 we have;

$f_A = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{(3 + 1) \times K }{2 \times 27} = \dfrac{2 \times K}{27} \approx 0.07407 \cdot K$

For the string in option B, the length, L = 30 cm, n = 4 we have;

$f_B = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{(4 + 1) \times K }{2 \times 30} = \dfrac{ K}{12} \approx 0.08 \overline 3\cdot K$

For the string in option C, the length, L = 30 cm, n = 3 we have;

$f_C = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{(3 + 1) \times K }{2 \times 30} = \dfrac{K}{15} \approx 0.0 \overline 6 \cdot K$

For the string in option D, the length, L = 24 cm, n = 4 we have;

$f_D = \dfrac{(n + 1) \times \sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{(4 + 1) \times K }{2 \times 24} = \dfrac{5 \times K}{48} \approx 0.1041 \overline 6 \cdot K$

Therefore, we have the rank of the frequency of oscillations of th strings from largest to smallest given as follows;

1 ) $f_D$ 2) $f_B$ 3) $f_A$ 4) $f_C$

8 0

3 years ago

What does a force moving an object through a distance transfer? A. sound B. energy C. weight D. mass

Ulleksa [173]

Answer:

it transfers energy as it moves

4 0

3 years ago

Hail stones mostly melts unto rain during the fall from the sky why?

Lostsunrise [7]

Answer:

(2).........

Explanation:

(2)..........

8 0

3 years ago

What is the mural with an area of 18 m squared

White raven [17]

<span>So the mural has an area of 18m squared
=> A = 18m^2
in getting the area of a square we use to formula = s^2, but since the area is already given, we need to find the value of each sides of the square. Thus, we simply need to do it backward.
we need to find the square root of the area
=> square root of 18m^2
=> 4.24m
Therefore that mural has a sides of approximately 4.24 meters</span>

4 0

3 years ago

EASY QUESTION!!! 20 POINTS!!!!!! PLZ ONLY CORRECT ANSWERS!!!

anyanavicka [17]

D) How fast you are moving

7 0

4 years ago