Answer:
The phase difference is
Explanation:
From the question we are told that
The distance between the loudspeakers is ![d = 2m](https://tex.z-dn.net/?f=d%20%3D%202m)
The distance of the listener from the wall ![D = 81.7 \ m](https://tex.z-dn.net/?f=D%20%3D%2081.7%20%5C%20m)
The frequency of the loudspeakers is ![f = 4450Hz](https://tex.z-dn.net/?f=f%20%3D%204450Hz)
The velocity of sound is ![v_s = 343 m/s](https://tex.z-dn.net/?f=v_s%20%3D%20343%20m%2Fs)
The path difference of the sound wave that is getting to the listener is mathematically represented as
![\Delta z =\sqrt{d^2 + D^2} -D](https://tex.z-dn.net/?f=%5CDelta%20z%20%20%3D%5Csqrt%7Bd%5E2%20%2B%20D%5E2%7D%20-D)
Substituting values
![\Delta z =\sqrt{2^2 + 81.7^2 } -81.7](https://tex.z-dn.net/?f=%5CDelta%20z%20%20%3D%5Csqrt%7B2%5E2%20%2B%2081.7%5E2%20%7D%20-81.7)
![\Delta z =0.0245m](https://tex.z-dn.net/?f=%5CDelta%20z%20%20%3D0.0245m)
The phase difference is mathematically represented as
= ![\frac{2 \pi}{\lambda } * \Delta z](https://tex.z-dn.net/?f=%5Cfrac%7B2%20%5Cpi%7D%7B%5Clambda%20%7D%20%2A%20%20%5CDelta%20z)
Where
is the wavelength which is mathematically represented as
![\lambda = \frac{v_s }{f}](https://tex.z-dn.net/?f=%5Clambda%20%20%3D%20%5Cfrac%7Bv_s%20%7D%7Bf%7D)
substituting value
![\lambda = \frac{343 }{4450}](https://tex.z-dn.net/?f=%5Clambda%20%20%3D%20%5Cfrac%7B343%20%7D%7B4450%7D)
![\lambda = 0.0770 m](https://tex.z-dn.net/?f=%5Clambda%20%20%3D%200.0770%20m)
Substituting value into the equation for phase difference
= ![\frac{2 * 3.142 * 0.0245}{0.0770}](https://tex.z-dn.net/?f=%5Cfrac%7B2%20%2A%203.142%20%2A%200.0245%7D%7B0.0770%7D)
Buoyancy is a force that always acts in an upward direction exerted by a fluid on a body placed in the fluid
Hope this helps :)
Answer:
d) is the same as when it started from rest
Explanation:
using equation of motion
v = u + at
second law of momentum defines
F = ma
a = F /m
the equation becomes
v = u + (F/m)t
from hear
since v is directly proportional to the force and the force remain the same, the increase in the cart speed will also remain the same.
Heat from burning fuel warms the walls of the firebox section of the furnace in
A. a hot-water heating system.
B. a hot-air heating system.
C. a compressor compartment.
D. an evaporation system.
It has been hypothesized, and some studies have supported the conjecture,
that certain species of insects and birds are able to sense the direction of external
magnetic fields.
I don't think there is any such notion where human beings are concerned.