The right answer for the question that is being asked and shown above is that: "D. 1,254.4 meters." A stone falls from a ledge and takes 8 seconds to hit the ground. The stone has an original velocity of 0 m/s. The ledge has the height of <span>D. 1,254.4 meters</span>
Answer:
kinetic energy = 1 / 2 mv²
kinetic energy = 1 / 2 × 20 × 10 ²
kinetic energy = 1000 joules
.........
Answer:
Sagittarius A
At its center, surrounded by 200-400 billion stars and undetectable to the human eye and by direct measurements, lies a supermassive black hole called Sagittarius A*, or Sgr A* for short. The Milky Way has the shape of a spiral and rotates around its center, with long curling arms surrounding a slightly bulging disk.
Explanation:
- The complexity of Earth is beyond the capabilities of computer simulations.
- Numerous assumptions that must be made by computer models have a big impact on the forecasts they produce.
- A computer model can incorporate historical climate data, but it is not possible to draw assumptions about future climates using this data in any way.
- A computer model cannot distinguish between anthropogenic climate change and natural climatic fluctuations.
<h3>How precise are temperature forecasts made by climate models?</h3>
The forecasting of global surface temperatures is one of the most significant results of climate models.
Scientists evaluate the effectiveness of their models by contrasting observations of the Earth's climate with predictions of future temperatures and "hindcasts" of past temperatures. Then, by comparing specific climate models and the average of all models to actual warming, scientists may determine whether temperature projections are accurate.
Researchers can have more faith that models can effectively predict future changes in the same factors if they successfully simulate the climate response in the past.
To know more about climate models, visit:
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Answer:
The level of the root beer is dropping at a rate of 0.08603 cm/s.
Explanation:
The volume of the cone is :
![V=\frac {1}{3}\times \pi\times r^2\times h](https://tex.z-dn.net/?f=V%3D%5Cfrac%20%7B1%7D%7B3%7D%5Ctimes%20%5Cpi%5Ctimes%20r%5E2%5Ctimes%20h)
Where, V is the volume of the cone
r is the radius of the cone
h is the height of the cone
The ratio of the radius and the height remains constant in overall the cone.
Thus, given that, r = d / 2 = 10 / 2 cm = 5 cm
h = 13 cm
r / h = 5 / 13
r = {5 / 13} h
![V=\frac {1}{3}\times \frac {22}{7}\times ({{{\frac {5}{13}\times h}}})^2\times h](https://tex.z-dn.net/?f=V%3D%5Cfrac%20%7B1%7D%7B3%7D%5Ctimes%20%5Cfrac%20%7B22%7D%7B7%7D%5Ctimes%20%28%7B%7B%7B%5Cfrac%20%7B5%7D%7B13%7D%5Ctimes%20h%7D%7D%7D%29%5E2%5Ctimes%20h)
![V=\frac {550}{3549}\times h^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%20%7B550%7D%7B3549%7D%5Ctimes%20h%5E3)
Also differentiating the expression of volume w.r.t. time as:
![\frac {dV}{dt}=\frac {550}{3549}\times 3\times h^2\times \frac {dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%20%7BdV%7D%7Bdt%7D%3D%5Cfrac%20%7B550%7D%7B3549%7D%5Ctimes%203%5Ctimes%20h%5E2%5Ctimes%20%5Cfrac%20%7Bdh%7D%7Bdt%7D)
Given:
= -4 cm³/sec (negative sign to show leaving)
h = 10 cm
So,
![-4=\frac{550}{3549}\times 3\times {10}^2\times \frac {dh}{dt}](https://tex.z-dn.net/?f=-4%3D%5Cfrac%7B550%7D%7B3549%7D%5Ctimes%203%5Ctimes%20%7B10%7D%5E2%5Ctimes%20%5Cfrac%20%7Bdh%7D%7Bdt%7D)
![\frac{55000}{1183}\times \frac {dh}{dt}=-4](https://tex.z-dn.net/?f=%5Cfrac%7B55000%7D%7B1183%7D%5Ctimes%20%5Cfrac%20%7Bdh%7D%7Bdt%7D%3D-4)
![\frac {dh}{dt}=-0.08603\ cm/s](https://tex.z-dn.net/?f=%5Cfrac%20%7Bdh%7D%7Bdt%7D%3D-0.08603%5C%20cm%2Fs)
<u>The level of the root beer is dropping at a rate of 0.08603 cm/s.</u>