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Fluids and Conservation Laws (Continuity, Bernoulli)

AP Physics 1· difficulty 3/5

Water flows out of a tank through a small hole h=5.0 mh = 5.0~\text{m} below the surface. Using g≈10 m/s2g \approx 10~\text{m/s}^2 (Torricelli), the exit speed is

  • A

    7.1 m/s7.1~\text{m/s}

  • B

    5 m/s5~\text{m/s}

  • C

    50 m/s50~\text{m/s}

  • D

    10 m/s10~\text{m/s}

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Explanation

v=2gh=100=10 m/sv = \sqrt{2gh} = \sqrt{100} = 10~\text{m/s}.

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