Question

1. The formula p=101.3e^-0.001h is the equation for the atmospheric pressure at constant temperature measured in pascal units, p, and where “h” is the altitude in meters. What is the atmospheric pressure at 500 meters?
HELP ME PLEASE! IM SO LOST DONT EVEN KNOW WHERE TO BEGIN

Answer 1

h = altitude

so "What is the atmospheric pressure at 500 meters?" well, set h = 500

thus \(\bf \\ \quad \\

p=101.3e^{-0.001{\color{blue}{ h}}}\qquad {\color{blue}{ h}}=500\implies p=101.3e^{-0.001\cdot {\color{blue}{ 500}}}\)

Answer 2

OK so we are trying to find p before we solve for the equation ? and how would i solve that

Answer 3

you just need to plug-in 500 in place of h... and do the math via calculator...

Answer 4

e is not a variable, it is a constant, e^1=2.718....

Answer 5

p is the atmospheric pressure you are looking for... actually stated in the problem....

Answer 6

Ok let me plug it into my calculator

Answer 7

wait I don't know how to solve it its solving error

Answer 8

ok try this first.... -0.001 x 50... store the result in memory

Answer 9

press "e" in your calculator then the button \(x^y\) then recall memory

Answer 10

... multiply the result by 101.3... that's the answer

Answer 11

have u computed it @Ilovedogs21 ?

Answer 12

Wait I'm lost now , I'm doing something wrong so, lets start over I sub. the 500 where the H's are and it looks like 500=101.3e^-0.001(500)

Answer 13

@Orion1213

Answer 14

no it's not...

Answer 15

\[P=101.3\times e^{-0.001 \times 500}\]\[P=101.3\times e^{-0.5}\]\[P=101.3\times 0.606530659712634\]\[P\approx61.44~~Pa\]is the atmospheric pressure at h=500m.