The tank has a volume of
, where
is its height and
is its radius.
At any point, the water filling the tank and the tank itself form a pair of similar triangles (see the attached picture) from which we obtain the following relationship:

The volume of water in the tank at any given time is

and can be expressed as a function of the water level alone:

Implicity differentiating both sides with respect to time
gives

We're told the water level rises at a rate of
at the time when the water level is
, so the net change in the volume of water
can be computed:

The net rate of change in volume is the difference between the rate at which water is pumped into the tank and the rate at which it is leaking out:

We're told the water is leaking out at a rate of
, so we find the rate at which it's being pumped in to be


Answer:
The Height is H = 70.02 m
Explanation:
We are given that the
Initial length is =
= 
from what we are told in the question the circumference of the circle is =
This means that the Radius would be :
Let C denote the circumference
So

=> 

We are told that 1-meter bar of steel that increases its temperature by 1 degree C will expand
meters
Hence
The final length would be

Where T is the change in temperature
is the Coefficient of linear expansion for steel
let
denote the final length
So
![L_{final} =40000*10^{6} *[1+ 11*10^{-6}]](https://tex.z-dn.net/?f=L_%7Bfinal%7D%20%3D40000%2A10%5E%7B6%7D%20%2A%5B1%2B%2011%2A10%5E%7B-6%7D%5D)

Now the Height is mathematically represented as



Felipe was enjoying the sunny day at the beach. He told his friend Carl that he was really enjoying the warm feeling that he was getting as he sat in the Sun. Carl explained that the electromagnetic radiation was responsible for this warm feeling. The electromagnetic spectrum which was responsible for making Felipe feel warm is
<u>Infrared rays</u>
Explanation:
- Infrared radiation (IR), or infrared light, is a type of radiant energy that's invisible to human eyes but that we can feel as heat.
- All objects in the universe emit some level of IR radiation, but two of the most obvious sources are the sun and fire.
- Infrared radiation has a longer wavelength and lower frequency than visible light. Too much exposure can damage your eyes and skin. On a global scale, trapped infrared radiation contributes to global warming.
- Most warm objects in our everyday experiences emit infrared, and half of the energy produced by the Sun is also infrared.
- The primary source of infrared radiation is heat or thermal radiation. This is the radiation produced by the motion of atoms and molecules in an object.
Answer:
1.12×10⁻⁵ C and 2.24×10⁻⁵ C.
Explanation:
From coulomb's law,
F = kAB/r².............................. Equation 1
Where F = Force exerted by each charge, A = charge at point A, B = charge at point B, r = distance of separation between the points, k = constant of proportionality.
Given: F = 47 N, r = 22 cm = 0.22 m.
Constant: k = 9.0×10⁹ Nm²/C²
Let: B = q, the A = 2q.
Substituting these values into equation 1,
47 = 9.0×10⁹(q×2q)/0.22²
47 = 18×10⁹(q²)/0.0484
q² = (47×0.0484)/(18×10⁹)
q² = 0.126×10⁻⁹
q² = 1.26×10⁻¹⁰
q = √( 1.26×10⁻¹⁰)
q = 1.12×10⁻⁵ C
The charge at point A = 2q = 2× 1.12×10⁻⁵ = 2.24×10⁻⁵ C.
Hence the charges are 1.12×10⁻⁵ C and 2.24×10⁻⁵ C.
Answer:
Sure, you can.
Explanation:
» Record the ammeter reading and voltimeter reading as I and V respectively.
» Then, from ohm's law [ voltage is proportional to current ]

» Input the constant of proprtionality, from ohm's law, resistance is constant [ R ≠ 0 ]

- V is voltage
- I is current
- R is resistance
