Answer:
The height is ![h = 0.5224 \ m](https://tex.z-dn.net/?f=h%20%3D%200.5224%20%5C%20m)
Explanation:
From the question we are told that
The combined mass of the child and the sled is ![m = 58.0 \ kg](https://tex.z-dn.net/?f=m%20%3D%20%2058.0%20%5C%20%20kg)
The speed of the sled is ![u = 3.20 \ m/s](https://tex.z-dn.net/?f=u%20%3D%203.20%20%5C%20m%2Fs)
Generally applying SOHCAHTOA on the slope which the combined mass is down from
Here the length of the slope(L) where the combined mass slides through is the hypotenuses
while the height(h) of the height of the slope is the opposite
Hence from SOHCAHTOA
![sin (\theta) = \frac{h}{L}](https://tex.z-dn.net/?f=sin%20%28%5Ctheta%29%20%3D%20%20%5Cfrac%7Bh%7D%7BL%7D)
=> ![Lsin(\theta) = h](https://tex.z-dn.net/?f=Lsin%28%5Ctheta%29%20%3D%20h)
Generally from the kinematic equation we have that
![v^2 = u^2 + 2aL](https://tex.z-dn.net/?f=v%5E2%20%20%3D%20u%5E2%20%2B%202aL)
Here the u is the initial velocity of the combined mass which is zero since it started from rest
and a is the acceleration of the combined mass which is mathematically evaluated as
![a = g * sin (\theta )](https://tex.z-dn.net/?f=a%20%3D%20%20g%20%2A%20sin%20%28%5Ctheta%20%29)
![v^2 = u^2 + 2 * g * sin (\theta )L](https://tex.z-dn.net/?f=v%5E2%20%20%3D%20u%5E2%20%2B%202%20%2A%20%20g%20%2A%20sin%20%28%5Ctheta%20%29L)
=> ![2Lsin(\theta ) = \frac{v^2 - u^2 }{g}](https://tex.z-dn.net/?f=2Lsin%28%5Ctheta%20%29%20%3D%20%20%5Cfrac%7Bv%5E2%20-%20u%5E2%20%7D%7Bg%7D)
=> ![h = \frac{ v^2 - u^2}{2g}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B%20v%5E2%20-%20u%5E2%7D%7B2g%7D)
=> ![h = \frac{ 3.20^2 - 0^2}{2 * 9.8 }](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B%203.20%5E2%20-%200%5E2%7D%7B2%20%2A%209.8%20%7D)
=> ![h = 0.5224 \ m](https://tex.z-dn.net/?f=h%20%3D%200.5224%20%5C%20m)
The formula is wavelength=speed÷frequency so if you do 15÷9 which equals 1.6
Here is the answer I hope this helps ❤️❤️
-Geographic north and south poles are determined by the earth's spin.
-Magnetic north and south is determined by the direction a compass points.
Hope this helps,
kwrob
Answer:
The result of pressure within a confined aquifer that creates a potentiometric surface
Explanation:
There are conditions under the Earth's surface, where porous rock layers are tilted and also have a confining, less porous, rock layer about the their boundary, forming a confined aquifer. The existing pressure in the aquifer is therefore confined within the water and the porous rock layer, such that drilling into the pressurized aquifer leads to the water rising under the pressure existing in the aquifer, to a potentiometric surface which is above the actual underground level of the aquifer