Question
What is the length of the pipe?
Answer:
(a) 0.52m
(b) f2=640 Hz and f3=960 Hz
(c) 352.9 Hz
Explanation:
For an open pipe, the velocity is given by

Making L the subject then

Where f is the frequency, L is the length, n is harmonic number, v is velocity
Substituting 1 for n, 320 Hz for f and 331 m/s for v then

(b)
The next two harmonics is given by
f2=2fi
f3=3fi
f2=3*320=640 Hz
f3=3*320=960 Hz
Alternatively,
and 

(c)
When v=367 m/s then

Answer:
(a) a = 2.44 m/s²
(b) s = 63.24 m
Explanation:
(a)
We will use the second equation of motion here:

where,
s = distance covered = 47 m
vi = initial speed = 0 m/s
t = time taken = 6.2 s
a = acceleration = ?
Therefore,

<u>a = 2.44 m/s²</u>
<u></u>
(b)
Now, we will again use the second equation of motion for the complete length of the inclined plane:

where,
s = distance covered = ?
vi = initial speed = 0 m/s
t = time taken = 7.2 s
a = acceleration = 2.44 m/s²
Therefore,

<u>s = 63.24 m</u>
Brain-powered cars?
The answer would be people who lack motor skills in their legs.
Answer:
sulcus
Explanation:
A sulcus is an indentation or depression in the brain that causes it to look like it ridges or folds
Cerebral sulci and fissures are grooves between the adjacent gyri on the surface of the cerebral hemispheres.
Sulci can be basically can be divided into three basic function
limiting sulcus: This happens to develop between areas differing in structure and function, for example central sulcus
axial sulcus: This develops along the axis of a rapidly growing/developing area (e.g. calcarine sulcus)
operculated sulcus: a sulcus may be between two structurally-different areas and a third sulcus may lie in its wall and does not appear on the surface (e.g. lunate sulcus)
Answer:
a) Vf = 27.13 m/s
b) It would have been the same
Explanation:
On the y-axis:


Solving for t:
t1 = 0.67s t2= -2.4s
Discarding the negative value and using the positive one to calculate the velocity:


So, the module of the velocity will be:


If you throw it above horizontal, it would go up first, and when it reached the initial height, the velocity would be the same at the throwing instant. And starting then, the movement will be the same.