Physics

Physics

Problem

Water flows steadily through a pipeline that rises by 5.0 m5.0\,\text{m} between section 11 and section 22. At section 11 the cross-sectional area is 20 cm220\,\text{cm}^{2}, the speed is 2.0 m s−12.0\,\text{m s}^{-1} and the pressure is 2.5×105 Pa2.5\times10^{5}\,\text{Pa}. The area at section 22 is 5 cm25\,\text{cm}^{2}. For water ρ=1000 kg m−3\rho = 1000\,\text{kg m}^{-3} and g=9.8 m s−2g = 9.8\,\text{m s}^{-2}. What is the pressure at section 22? a) 2.2×105 Pa2.2 \times 10^{5}\,\text{Pa} b) 2.7×105 Pa2.7 \times 10^{5}\,\text{Pa} c) 1.7×105 Pa1.7 \times 10^{5}\,\text{Pa} d) 1.4×105 Pa1.4 \times 10^{5}\,\text{Pa}

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