Answer:
GE = ME -
, which agrees with option C in your list.
Explanation:
The definition of Mechanical Energy (ME) of a system is the addition of the gravitational potential energy (GE) plus the kinetic energy (KE) of the system:
ME = GE + KE
Given that the KE is:
,
solving for GE in the formula above gives:
GE = ME - KE = ME -
, which agrees with option C
The final atmospheric pressure is ![5.19\cdot 10^4 Pa](https://tex.z-dn.net/?f=5.19%5Ccdot%2010%5E4%20Pa)
Explanation:
Assuming that the temperature of the air does not change, we can use Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. In formula,
![pV=const.](https://tex.z-dn.net/?f=pV%3Dconst.)
where
p is the gas pressure
V is the volume
The equation can also be rewritten as
![p_1 V_1 = p_2 V_2](https://tex.z-dn.net/?f=p_1%20V_1%20%3D%20p_2%20V_2)
where in our problem we have:
is the initial pressure (the atmospheric pressure at sea level)
is the initial volume
is the final pressure
is the final volume
Solving the equation for p2, we find the final pressure:
![p_2 = \frac{p_1 V_1}{V_2}=\frac{(1.01\cdot 10^5)(90.0)}{175.0}=5.19\cdot 10^4 Pa](https://tex.z-dn.net/?f=p_2%20%3D%20%5Cfrac%7Bp_1%20V_1%7D%7BV_2%7D%3D%5Cfrac%7B%281.01%5Ccdot%2010%5E5%29%2890.0%29%7D%7B175.0%7D%3D5.19%5Ccdot%2010%5E4%20Pa)
Learn more about ideal gases:
brainly.com/question/9321544
brainly.com/question/7316997
brainly.com/question/3658563
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