Question Detail
Question
Water flows with constant speed through a garden hose that goes up a step 20 cm high. If the water pressure is 143 kPa at the bottom of the step, what is its pressure at the top of the step?
Correct Answer
Option B is the correct answer.
Detailed Explanation
For a fluid with constant speed, Bernoulli's equation reduces to P + ρgh = constant. Thus, P_top = P_bottom - ρgh. With ρ = 1000 kg/m³, g = 9.8 m/s², h = 0.20 m, ρgh = 1000 × 9.8 × 0.20 = 1960 Pa ≈ 2 kPa. Therefore, P_top = 143 kPa - 2 kPa = 141 kPa.
Hint
For constant speed, pressure difference equals ρgh.