The voters political opinions and what they think what is right and wrong.
Explanation:
First we will convert the given mass from lb to kg as follows.
157 lb = ![157 lb \times \frac{1 kg}{2.2046 lb}](https://tex.z-dn.net/?f=157%20lb%20%5Ctimes%20%5Cfrac%7B1%20kg%7D%7B2.2046%20lb%7D)
= 71.215 kg
Now, mass of caffeine required for a person of that mass at the LD50 is as follows.
![180 \frac{mg}{kg} \times 71.215 kg](https://tex.z-dn.net/?f=180%20%5Cfrac%7Bmg%7D%7Bkg%7D%20%5Ctimes%2071.215%20kg)
= 12818.7 mg
Convert the % of (w/w) into % (w/v) as follows.
0.65% (w/w) = ![\frac{0.65 g}{100 g}](https://tex.z-dn.net/?f=%5Cfrac%7B0.65%20g%7D%7B100%20g%7D)
= ![\frac{0.65 g}{(\frac{100 g}{1.0 g/ml})}](https://tex.z-dn.net/?f=%5Cfrac%7B0.65%20g%7D%7B%28%5Cfrac%7B100%20g%7D%7B1.0%20g%2Fml%7D%29%7D)
= ![\frac{0.65 g}{100 ml}](https://tex.z-dn.net/?f=%5Cfrac%7B0.65%20g%7D%7B100%20ml%7D)
Therefore, calculate the volume which contains the amount of caffeine as follows.
12818.7 mg = 12.8187 g = ![\frac{12.8187 g}{\frac{0.65 g}{100 ml}}](https://tex.z-dn.net/?f=%5Cfrac%7B12.8187%20g%7D%7B%5Cfrac%7B0.65%20g%7D%7B100%20ml%7D%7D)
= 1972 ml
Thus, we can conclude that 1972 ml of the drink would be required to reach an LD50 of 180 mg/kg body mass if the person weighed 157 lb.
Explanation:
The force of the roller-coaster track on the cart at the bottom is given by :
, m is mass of roller coaster
Case 1.
R = 60 m v = 16 m/s
![F=\dfrac{(16)^2m}{60}=4.26m\ N](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7B%2816%29%5E2m%7D%7B60%7D%3D4.26m%5C%20N)
Case 2.
R = 15 m v = 8 m/s
![F=\dfrac{(8)^2m}{15}=4.26m\ N](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7B%288%29%5E2m%7D%7B15%7D%3D4.26m%5C%20N)
Case 3.
R = 30 m v = 4 m/s
![F=\dfrac{(4)^2m}{30}=0.54m\ N](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7B%284%29%5E2m%7D%7B30%7D%3D0.54m%5C%20N)
Case 4.
R = 45 m v = 4 m/s
![F=\dfrac{(4)^2m}{45}=0.36m\ N](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7B%284%29%5E2m%7D%7B45%7D%3D0.36m%5C%20N)
Case 5.
R = 30 m v = 16 m/s
![F=\dfrac{(16)^2m}{30}=8.54m\ N](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7B%2816%29%5E2m%7D%7B30%7D%3D8.54m%5C%20N)
Case 6.
R = 15 m v =12 m/s
![F=\dfrac{(12)^2m}{15}=9.6m\ N](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7B%2812%29%5E2m%7D%7B15%7D%3D9.6m%5C%20N)
Ranking from largest to smallest is given by :
F>E>A=B>C>D
When a liquid changes to gas, this phase change is called vaporization or evaporization.