Answer:
A) The wave equation is given as

According to the above equation, k = 0.004 and ω = 5.05.
Using the following identities, we can find the period of the wave.

T = 1.25 s.
For the horizontal distance travelled by one period of time, x = λ.


B) The wave number, k = 0.004 . The number of waves per second is the frequency, so f = 0.8.
C) The propagation speed of the wave is
The velocity of the wave is the derivative of the position function.

The maximum velocity is when the derivative of the velocity function is equal to zero.

In order this to be zero, cosine term must be equal to zero.

The reason that cosine term is set to be 5π/2 is that time cannot be zero. For π/2 and 3π/2, t<0.

Answer:
f" = 40779.61 Hz
Explanation:
From the question, we see that the bat is the source of the sound wave and is initially at rest and the object is in motion as the observer, thus;
from the Doppler effect equation, we can calculate the initial observed frequency as:
f' = f(1 - (v_o/v))
We are given;
f = 46.2 kHz = 46200 Hz
v_o = 21.8 m/s
v is speed of sound = 343 m/s
Thus;
f' = 46200(1 - (21/343))
f' = 43371.4285 Hz
In the second stage, we see that the bat is now a stationary observer while the object is now the moving source;
Thus, from doppler effect again but this time with the source going away from the obsever, the new observed frequency is;
f" = f'/(1 + (v_o/v))
f" = 43371.4285/(1 + (21.8/343))
f" = 40779.61 Hz
Answer:
0.09kg of air
Explanation:
The dimensions of the room are given
change the height to meters by dividing it by thousand.
For the volume multiplying the length,width and height (all should be in the same unit most suitable being meters).
Volume refers to the amount of space inside a box or a object.
The amount of air is equal to the volume.
10.00 °C this is the right answer need more question feel free to post
Answer:
A
Explanation:
An ion with a negative charge