Answer:
Percentage change in tension is 3.8%
Explanation:
We have given initially frequency
= 440 Hz
Let tension in the string at this frequency is ![T_1](https://tex.z-dn.net/?f=T_1)
Now second frequency is ![f_2=448.4Hz](https://tex.z-dn.net/?f=f_2%3D448.4Hz)
Frequency in string is given by
![f=\frac{1}{2L}\sqrt{\frac{T}{\mu }}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B1%7D%7B2L%7D%5Csqrt%7B%5Cfrac%7BT%7D%7B%5Cmu%20%7D%7D)
From the relation we can say that
![\frac{f_1}{f_2}=\sqrt{\frac{T_1}{T_2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bf_1%7D%7Bf_2%7D%3D%5Csqrt%7B%5Cfrac%7BT_1%7D%7BT_2%7D%7D)
![{\frac{T_2}{T_1}}=1.038](https://tex.z-dn.net/?f=%7B%5Cfrac%7BT_2%7D%7BT_1%7D%7D%3D1.038)
Percentage change in tension is equal to
%
So percentage change in tension is 3.8%
Answer:
Acid mine drainage is dissolved toxic materials wash from mines into nearby lakes and streams.
Explanation:
Acid mine drainage is the flow of acidic water with pH typically between 2 and 4, and high concentrations of other dissolved toxic materials from mines into nearby lakes and streams. It mainly occurs during metal sulfide mining, when the metal sulfide ore such as pyrite (FeS2) is exposed to water and oxygen from air to produce soluble iron and sulfuric acid.
Microorganisms, especially acidophile bacteria like Acidithiobacillus ferrooxidans grow by pyrite oxidation, i.e., oxidizing the Fe²⁺ in pyrite to Fe³⁺, which again react with pyrite and water to produce sulfuric acid. Then the acidic water flows into nearby water sources and reduces the pH value of water in those sources. As a result, heavy metals such as copper, lead, mercury, etc in other mineral ores also get dissolved into the water. The action of acidophile bacteria also increases the rate and degree of acid-mine drainage process.
The acid mine drainage causes water pollution and adversely affect the aquatic plants and animals. It also results in the contamination of drinking water, corrosion of infrastructures such as bridges, etc.
Answer:
<h2>Migration is affected by various factors like age, sex, marital status, education, occupation, employment etc. Age and sex are main demographic factors that affect the migration. Men, generally, migrate to other places quite often though there are more women who migrate to husbands' places after marriage.</h2>
Answer
given,
time = 10 s
ship's speed = 5 Km/h
F = m a
a is the acceleration and m is mass.
In the first case
F₁=m x a₁
where a₁ = difference in velocity / time
F₁ is constant acceleration is also a constant.
Δv₁ = 5 x 0.278
Δv₁ = 1.39 m/s
![a_1=\dfrac{1.39}{10}](https://tex.z-dn.net/?f=a_1%3D%5Cdfrac%7B1.39%7D%7B10%7D)
a₁ = 0.139 m/s²
F₂ =m x a₂
F₃ = F₂ + F₁
Δv₃ = 19 x 0.278
Δv₃ = 5.282 m/s
a₃=Δv₂ / t
![a_3=\dfrac{5.282}{10}](https://tex.z-dn.net/?f=a_3%3D%5Cdfrac%7B5.282%7D%7B10%7D)
a₃ = 0.5282 m²/s
m a₃=m a₁ + m a₂
a₃ = a₂ + a₁
0.5282 = a₂ + 0.139
a₂=0.3892 m²/s
F₂ = m x 0.3892...........(1)
F₁ = m x 0.139...............(2)
F₂/F₁
ratio = ![\dfrac{0.3892}{0.139}](https://tex.z-dn.net/?f=%5Cdfrac%7B0.3892%7D%7B0.139%7D)
ratio = 2.8
Answer with Explanation:
We are given that
Velocity,v=24 m/s west
Acceleration,a=![2.5m/s^2](https://tex.z-dn.net/?f=2.5m%2Fs%5E2)
(N of W)
Horizontal component of acceleration=Tangential acceleration
Tangential acceleration,![a_x=acos\theta=2.5cos53=1.505 m/s^2](https://tex.z-dn.net/?f=a_x%3Dacos%5Ctheta%3D2.5cos53%3D1.505%20m%2Fs%5E2)
Radial acceleration=Vertical acceleration=![a_y=asin\theta](https://tex.z-dn.net/?f=a_y%3Dasin%5Ctheta)
![a_y=2.5sin53=1.998 m/s^2](https://tex.z-dn.net/?f=a_y%3D2.5sin53%3D1.998%20m%2Fs%5E2)
Radial acceleration,![a_y=\frac{v^2}{R}](https://tex.z-dn.net/?f=a_y%3D%5Cfrac%7Bv%5E2%7D%7BR%7D)
![1.998=\frac{(24)^2}{R}](https://tex.z-dn.net/?f=1.998%3D%5Cfrac%7B%2824%29%5E2%7D%7BR%7D)
![R=\frac{(24)^2}{1.998}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7B%2824%29%5E2%7D%7B1.998%7D)
![R=288.29 m](https://tex.z-dn.net/?f=R%3D288.29%20m)
Time,![t=\frac{2\pi R}{velocity}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B2%5Cpi%20R%7D%7Bvelocity%7D)
![t=\frac{2\pi(288.29)}{24}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B2%5Cpi%28288.29%29%7D%7B24%7D)
![t=75.47 s](https://tex.z-dn.net/?f=t%3D75.47%20s)