Question

Water is to be pumped to the top of a building that is 366 m high. If the density of water is 1.00 x 10^3 kg/m^3, what amount of pressure is needed in the water line at the base of the building to raise the water to this height?

a.

1.26 x 10^6 Pa

b.

3.59 x 10^6 Pa


c.

5.39 x 10^6 Pa


d.

2.84 x 10^6 Pa

Answer 1

The pressure energy at the bottom will be calculated by P/d; d signifies density
The gravitational potential energy at the top will be gh. where: h- height and g - acceleration due to gravity
Applying energy conservation principle which is P/d = ghTherefore, P = hgd = 366 * 9.8 * 1000 = 3586800 pascal or 3.59 x 10^6 Pa which is B.