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Elanso [62]
3 years ago
14

Provided the amplitude is sufficiently great, the human ear can respond to longitudinal waves over a range of frequencies from a

bout 20.0 Hz to about 20.0 kHz.a)If you were to mark the beginning of each complete wave pattern with a red dot for the long-wavelength sound, how far apart would the red dots be?b)If you were to mark the beginning of each complete wave pattern with a blue dot for the short-wavelength sound, how far apart would the blue dots be?c)In reality would adjacent red dots be far enough apart for you to easily measure their separation with a meterstick?d)In reality would adjacent blue dots be far enough apart for you to easily measure their separation with a meterstick?e)Suppose you repeated part A in water, where sound travels at 1480 {\rm{ m/s}}. How far apart would the red dots be ?f)Suppose you repeated part A in water, where sound travels at 1480 {\rm{ m/s}}. How far apart would the blue dots be ?g)Could you readily measure their separation with a meterstick?
Physics
1 answer:
riadik2000 [5.3K]3 years ago
8 0

Answer:

Check the explanation

Explanation:

The beat frequency is

df = f2 - f1

the wavelength is

lamda1 = (v/f1)

and lamda2 = (v/f2)

where v = 340 m/s,f1 = 25.0 kHz and f2 = 20.0 kHz

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Consider the vector field. f(x, y, z) = xy2z2i x2yz2j x2y2zk (a) find the curl of the vector field?
Marat540 [252]

Observe that the given vector field is a gradient field:

Let f(x,y,z)=\nabla g(x,y,z), so that

\dfrac{\partial g}{\partial x} = x y^2 z^2

\dfrac{\partial g}{\partial y} = x^2 y z^2

\dfrac{\partial g}{\partial z} = x^2 y^2 z

Integrating the first equation with respect to x, we get

g(x,y,z) = \dfrac12 x^2 y^2 z^2 + h(y,z)

Differentiating this with respect to y gives

\dfrac{\partial g}{\partial y} = x^2 y z^2 + \dfrac{\partial h}{\partial y} = x^2 y z^2 \\\\ \implies \dfrac{\partial h}{\partial y} = 0 \implies h(y,z) = i(z)

Now differentiating g with respect to z gives

\dfrac{\partial g}{\partial z} = x^2 y^2 z + \dfrac{di}{dz} = x^2 y^2 z \\\\ \implies \dfrac{di}{dz} = 0 \implies i(z) = C

Putting everything together, we find a scalar potential function whose gradient is f,

f(x,y,z) = \nabla \left(\dfrac12 x^2 y^2 z^2 + C\right)

It follows that the curl of f is 0 (i.e. the zero vector).

5 0
2 years ago
If a child ran into the road 65 to 70 feet ahead of your vehicle, what is the highest speed from which you could stop with good
Vlad [161]
Given:
Stopping distance range is d = (65, 70) ft.

The stopping distance, d, obeys this formula.
d = v²/(2μg)
where
v = speed of the vehicle
μ = 0.8, coefficient of static friction under good road conditions
g =  acceleration due to gravity, 32.2 ft/s²

Therefore
v = √(2*0.8*32.2*d) = 7.178√d

Test d = 65 ft.
v = 7.178√(65) = 57.87 ft/s = (57.87/88)*60 = 39.5 mph

Test d = 70 ft.
v = 7.178√(70) = 60.05 ft/s = 40.9 mph

To be safe, the lower speed of 39.5 mph is preferred.

Answer: 40 mph
3 0
3 years ago
WILL UPVOTE!!!Physics help please!!
liubo4ka [24]
Speed v = initial speed u + acceleration a x time t 
v=u+at = 2 + 4*3 = 14 m/s

8 0
4 years ago
At what value of angle between two vectors will the resultant of the two vectors be maximum?
yan [13]

The resultant is maximum when the angle between the two vectors is zero

Explanation:

The formula to calculate the resultant of two vectors A, B is the following:

R=\sqrt{A^2+B^2+2ABcos \theta}

where

A is the magnitude of vector A

B is the magnitude of vector B

\theta is the angle between the directions of A and B

This formula can be derived by applying the parallelogram law.

From the formula, we observe that:

- When \theta=0^{\circ} (vectors A and B parallel), cos \theta = 1. so the resultant becomes simply

R=\sqrt{A^2+B^2 + 2AB}=\sqrt{(A+B)^2}=A+B

- When \theta = 90^{\circ} (vectors A and B perpendicular), cos \theta = 0, so the resultant becomes

R=\sqrt{A^2+B^2}

- When \theta=180^{\circ} (vectors A and B anti-parallel), cos \theta = -1, so the resultant becomes

R=\sqrt{A^2+B^2 - 2AB}=\sqrt{(A-B)^2}=|A-B|

By looking at the three cases and at the formula, we see that the maximum value of the resultant is when the angle between the two vectors is zero, since in that case the resultant is simply obtained by adding the magnitudes of the two vectors.

Learn more about vector addition:

brainly.com/question/4945130

brainly.com/question/5892298

#LearnwithBrainly

3 0
4 years ago
3. Imagine a 10kg block moving with a speed of 20m/s<br> calculate the kinetic energy of this block
MatroZZZ [7]
The formula of the kinetic energy is:
E_{k}  =  \frac{m v^{2} }{2}
where m is a mass of the object, v is speed of the object at the moment of time. So we have:
E_{k}  =  \frac{10* 20^{2} }{2}  = 2000J
The answer is 2000 Joules.
6 0
3 years ago
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