The USDA recommends that women consume about 2000 Calories per day and men consume about 2500 Calories per day. How much average
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This is an incomplete question, here is a complete question.
The air in the cylinder with a piston has a volume of 220 mL and a pressure of 650 mmHg.
If the pressure inside the cylinder increases to 1.6 atm, what is the final volume, in milliliters, of the cylinder?
Answer : The final volume of the cylinder is, 117.6 mL
Explanation :
Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.
or,
where,
= initial pressure of gas = 650 mmHg = 0.855 atm (1 atm = 760 mmHg)
= final pressure of gas = 1.6 atm
= initial volume of gas = 220 mL
= final volume of gas = ?
Now put all the given values in the above equation, we get:
Therefore, the final volume of the cylinder is, 117.6 mL
A) The acceleration is due to gravity at any given point if you look at it vertically, so 
.
b)
, so 
. We use 
and then the final speed must be 0 because it stops at the highest point. So 
. Solve for 
and you get 
c)
, and then we plug the values: 
and we already have the time from "b)", so ![Y_m_a_x = [(32sin(25))*(32sin(25)/10)] - 5(32sin(25)/10)^2](https://tex.z-dn.net/?f=Y_m_a_x%20%3D%20%5B%2832sin%2825%29%29%2A%2832sin%2825%29%2F10%29%5D%20-%205%2832sin%2825%29%2F10%29%5E2)
; then we just rearrange it ![Y_m_a_x = 10[(32sin(25))^2/100] - 5 [(32sin(25))^2/100]](https://tex.z-dn.net/?f=Y_m_a_x%20%3D%2010%5B%2832sin%2825%29%29%5E2%2F100%5D%20-%205%20%5B%2832sin%2825%29%29%5E2%2F100%5D%20)
and finally ![Y_m_a_x = 5[(32sin(25))^2/100] = (32sin(25))^2/20](https://tex.z-dn.net/?f=Y_m_a_x%20%3D%205%5B%2832sin%2825%29%29%5E2%2F100%5D%20%3D%20%2832sin%2825%29%29%5E2%2F20)
b)
c)