The atmospheric pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases about 11.5%. What is the pressure at an altitude of 5000 m?
Let's start by finding the decrease in pressure for every 1000-m increase in altitude. We know that the pressure decreases by 11.5% for every 1000-m increase.
So the pressure decreases by 11.5/100 * 101 kPa = 11.65 kPa for every 1000-m increase.
To find the pressure at an altitude of 5000 m, we need to multiply the decrease in pressure by the number of 1000-m increases. Since we have 5 increments of 1000 m, we can multiply the decrease in pressure by 5.
Therefore, the pressure at an altitude of 5000 m is 5 * 11.65 kPa = 58.25 kPa. Answer: \boxed{58.25}.
To find the pressure at an altitude of 5000 m, we need to calculate the decrease in pressure for every 1000-m increase in altitude.
First, let's calculate the decrease in pressure for 1000 m:
11.5% of 101 kilopascals is (11.5/100) * 101 = 11.665 kilopascals.
Next, we can calculate the decrease in pressure for 5000 m:
Since 5000 m is 5 times 1000 m, the decrease in pressure would be 5 * 11.665 kilopascals = 58.325 kilopascals.
Finally, we can calculate the pressure at an altitude of 5000 m:
101 kilopascals - 58.325 kilopascals = 42.675 kilopascals.
Therefore, the pressure at an altitude of 5000 m is about 42.675 kilopascals.
To calculate the pressure at an altitude of 5000 m, we need to use the given information:
1. The atmospheric pressure at sea level is about 101 kilopascals (kPa).
2. For every 1000 m increase in altitude, the pressure decreases about 11.5%.
First, let's determine how many 1000 m increments are there in 5000 m.
5000 m ÷ 1000 m = 5
Therefore, there are 5 increments of 1000 m in 5000 m.
Next, we need to calculate the total decrease in pressure for 5 increments.
11.5% decrease x 5 increments = 57.5% decrease
To find the remaining pressure, we subtract the decrease from the initial pressure.
Remaining pressure = Initial pressure - Decrease
= 101 kPa - (57.5% of 101 kPa)
To calculate the decrease in pressure, we multiply 57.5% by 101 kPa.
Decrease = (57.5/100) x 101 kPa
= 0.575 x 101 kPa
= 58.075 kPa
Finally, we can calculate the remaining pressure at an altitude of 5000 m:
Remaining pressure = 101 kPa - 58.075 kPa
= 42.925 kPa
Therefore, the pressure at an altitude of 5000 m is approximately 42.925 kilopascals.