The Answer is D) equal hydrogen and hydroxide-ion concentration
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The SI system of amplitude is a metre (m).
Answer:
I = 0.287 MR²
Explanation:
given,
height of the object = 3.5 m
initial velocity = 0 m/s
final velocity = 7.3 m/s
moment of inertia = ?
Using total conservation of mechanical energy
change in potential energy will be equal to change in KE (rotational) and KE(transnational)
PE = KE(transnational) + KE (rotational)
![mgh = \dfrac{1}{2}mv^2 + \dfrac{1}{2}I\omega^2](https://tex.z-dn.net/?f=mgh%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%20%2B%20%5Cdfrac%7B1%7D%7B2%7DI%5Comega%5E2)
v = r ω
![mgh = \dfrac{1}{2}mv^2 + \dfrac{1}{2}\dfrac{Iv^2}{r^2}](https://tex.z-dn.net/?f=mgh%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%5Cdfrac%7BIv%5E2%7D%7Br%5E2%7D)
![I = \dfrac{m(2gh - v^2)r^2}{v^2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cdfrac%7Bm%282gh%20-%20v%5E2%29r%5E2%7D%7Bv%5E2%7D)
![I = \dfrac{mr^2(2\times 9.8 \times 3.5 - 7.3^2)}{7.3^2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cdfrac%7Bmr%5E2%282%5Ctimes%209.8%20%5Ctimes%203.5%20-%207.3%5E2%29%7D%7B7.3%5E2%7D)
![I =mr^2(0.287)](https://tex.z-dn.net/?f=I%20%3Dmr%5E2%280.287%29)
I = 0.287 MR²
It will take the stream 35 minutes to fill 14,700 cubic meters of water