A water-filled container is inside an elevator accelerating vertically upward with 5 m/s². Two points in the water are vertically separated by 0.80 m. If the density of water is 1000 kg/m³ and g = 10 m/s², what is the pressure difference between the lower and upper points?
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Question

A water-filled container is inside an elevator accelerating vertically upward with 5 m/s². Two points in the water are vertically separated by 0.80 m. If the density of water is 1000 kg/m³ and g = 10 m/s², what is the pressure difference between the lower and upper points?

Options

G1 Physics · Accepted Answer

For an elevator accelerating upward with acceleration a, the effective gravitational acceleration is g(eff) = g+a = 10+5 = 15 m/s². The pressure difference between two points separated vertically by h is ΔP = ρg(eff)h. Therefore, ΔP = 1000×15×0.80 = 12000 Pa = 12 kPa. Correct option: C.