the atmospheric pressure P (in hPa) at the height of h m above the sea level is P = 364e^(kh) ,where k is a constant.
if the atmospheric pressure at a height of 5486 m above the sea level is half of that at the sea level ,find k,( correct to 3 sig.fig,)
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MATHS M1
2011-10-15 6:18 pm
回答 (1)
2011-10-16 4:24 am
✔ 最佳答案
P = 364e^(kh)Find the atmospheric pressure at the sea level first
put h = 0
P = 364 e^(k(0))
P = 364
The atmospheric pressure at a height of 5486 m above the sea level is half of that at the sea level
when h=5486 P=364/2=182
182= 364e^(5486k)
0.5 = e^(5486k)
ln 0.5 = 5486k
k = -0.000126
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