Water is pumped through the hose shown below, from a lower level to an upper level. Compared to the water at point 1, the water at point 2:
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This question involves Bernoulli's principle for fluid flow. The equation is:
Point 2 is at a greater height (h) than point 1, so its gravitational potential energy term (ρgh) is larger. For the total energy to remain constant, the sum of pressure (P) and kinetic energy (½ρv²) must decrease. The hose's cross-sectional area is the same at both points, so the speed (v) remains constant (continuity equation). Therefore, the pressure at point 2 must be less to account for the increased height.
Final Answer: has the same speed and less pressure