A fountain sends water to a height of 100 meters. What must be the pressurization (above atmospheric) of the water system? 1 atm= 1.01 × 10⁵ N/m². A)1.0 atm B)4.2 atm C)7.2 atm D)9.7 atm E)8.2 atm

Question

Quizplus · Accepted Answer

Using the formula, P = ρgh, where ρ is the density of water (1000 kg/m³), g is the acceleration due to gravity (9.81 m/s²) and h is the height to which the water is pumped (100 m), the pressure can be calculated as:

P = (1000 kg/m³)(9.81 m/s²)(100 m) = 9.81 × 10⁵ N/m²

Converting to atmospheres:
P/1 atm=9.81 × 10⁵ N/m²/ 1.01 × 10⁵ N/m²
P= 9.7 atm

Therefore, the answer is D) 9.7 atm.

A Fountain Sends Water to a Height of 100 Meters