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Answer :
Final answer:
The height that water could reach when shooting out of a broken pipe with a pressure of 1.01 imes 10^5 Pa is approximately 10.3 meters, which means the correct answer is 'None of the given options'. Therefore the correct answer is C
Explanation:
The question asks how high water could shoot if it came out of a broken pipe with a pressure of 1.01 imes 10^5 Pa. To solve for the maximum height (h) that the water could reach, we can use the equation derived from Bernoulli's principle which relates pressure (P), the density of the fluid (
h o), gravitational acceleration (g), and height (h). The equation is P =
h o gh.
By rearranging the equation to solve for h, we get:
h = rac{P}{
h o g}
Assuming that the density of water is 1000 kg/m^3 and the acceleration due to gravity is 9.81 m/s^2, we can plug in the numbers:
h = rac{1.01 imes 10^5 Pa}{1000 kg/m^3 imes 9.81 m/s^2}
h = rac{1.01 imes 10^5}{9810}
h = 10.3 m
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