A water line enters a house 2.0 in below ground A smaller diameter pipe carries

Question

A water line enters a house 2.0 in below ground A smaller diameter pipe carries water to a faucet 5.0 m above ground, on the second floor. Water flows at 2.0 m's in the main line and at 7.0 m/s on the second floor. Take the density of water to be 1.0 * 10l kg in1. The difference in pressure in the main line is 2.0 times 10- Pa. then the pressure on the second floor is: r a. 7,5 times 10' Pa with the main line at the higher pressure r b. 2.65 times 10' Pa with the main line at the higher pressure r c. 7,5 times 10' Pa with the main line at the lower pressure r d. 2.65 times 10' Pa with the main line at the lower pressure r c. 9.4 times 10' Pa with the main line at the higher pressure

Explanation / Answer

P1 + gh1 + 0.5v1^2 = P2 + gh2 + 0.5v2^2

2*10^5 + 10^3*9.8*(-2) + 0.5*10^3*2^2 = P2 + 10^3*9.8*5 + 0.5*10^3*7^2

P2 = 108900 Pa

P1-P2 = 91100 Pa

Option e is the answer 9.1*10^4 Pa

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