Answer:
2.32 s
Explanation:
Using the equation of motion,
s = ut+g't²/2............................ Equation 1
Where s = distance, u = initial velocity, g' = acceleration due to gravity of the moon, t = time.
Note: Since Onur drops the basket ball from a height, u = 0 m/s
Then,
s = g't²/2
make t the subject of the equation,
t = √(2s/g')...................... Equation 2
Given: s = 10 m, g' = 3.7 m/s²
Substitute this value into equation 2
t = √(2×10/3.7)
t = √(20/3.7)
t = √(5.405)
t = 2.32 s.
Answer:
22145.27733 ft
124984.76055 ft
Explanation:
The equation of pressure is
![P=P_0e^{-kh}](https://tex.z-dn.net/?f=P%3DP_0e%5E%7B-kh%7D)
where,
=Atmospheric pressure = 800 mbar
k = Constant
h = Altitude = 35000 ft
![P=\dfrac{1}{3}P_0](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B1%7D%7B3%7DP_0)
![\dfrac{1}{3}P_0=P_0e^{-k35000}\\\Rightarrow \dfrac{1}{3}=e^{-k35000}\\\Rightarrow 3=e^{k35000}\\\Rightarrow ln3=k35000\\\Rightarrow k=\dfrac{ln3}{35000}\\\Rightarrow k=3.13\times 10^{-5}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7DP_0%3DP_0e%5E%7B-k35000%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B3%7D%3De%5E%7B-k35000%7D%5C%5C%5CRightarrow%203%3De%5E%7Bk35000%7D%5C%5C%5CRightarrow%20ln3%3Dk35000%5C%5C%5CRightarrow%20k%3D%5Cdfrac%7Bln3%7D%7B35000%7D%5C%5C%5CRightarrow%20k%3D3.13%5Ctimes%2010%5E%7B-5%7D)
Now
![P=\dfrac{1}{2}P_0](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B1%7D%7B2%7DP_0)
![ln2=kh\\\Rightarrow h=\dfrac{ln2}{k}\\\Rightarrow h=\dfrac{ln2}{3.13\times 10^{-5}}\\\Rightarrow h=22145.27733\ ft](https://tex.z-dn.net/?f=ln2%3Dkh%5C%5C%5CRightarrow%20h%3D%5Cdfrac%7Bln2%7D%7Bk%7D%5C%5C%5CRightarrow%20h%3D%5Cdfrac%7Bln2%7D%7B3.13%5Ctimes%2010%5E%7B-5%7D%7D%5C%5C%5CRightarrow%20h%3D22145.27733%5C%20ft)
The altitude will be 22145.27733 ft
![P=0.02P_0](https://tex.z-dn.net/?f=P%3D0.02P_0)
![0.02P_0=P_0e^{-kh}\\\Rightarrow 0.02=e^{-3.13\times 10^{-5}h}\\\Rightarrow ln0.02=-3.13\times 10^{-5}h\\\Rightarrow h=\dfrac{ln0.02}{-3.13\times 10^{-5}}\\\Rightarrow h=124984.76055\ ft](https://tex.z-dn.net/?f=0.02P_0%3DP_0e%5E%7B-kh%7D%5C%5C%5CRightarrow%200.02%3De%5E%7B-3.13%5Ctimes%2010%5E%7B-5%7Dh%7D%5C%5C%5CRightarrow%20ln0.02%3D-3.13%5Ctimes%2010%5E%7B-5%7Dh%5C%5C%5CRightarrow%20h%3D%5Cdfrac%7Bln0.02%7D%7B-3.13%5Ctimes%2010%5E%7B-5%7D%7D%5C%5C%5CRightarrow%20h%3D124984.76055%5C%20ft)
The elevation is 124984.76055 ft
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