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Pressure

AP Physics 1· difficulty 2/5

What is the gauge pressure at a depth of 5.0 m5.0~\text{m} below the surface of a fresh-water lake? (ρwater=1000 kg/m3\rho_\text{water} = 1000~\text{kg/m}^3, g≈10 m/s2g \approx 10~\text{m/s}^2.)

  • A

    5000 Pa5000~\text{Pa}

  • B

    100,000 Pa100{,}000~\text{Pa}

  • C

    50,000 Pa50{,}000~\text{Pa}

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  • D

    10,000 Pa10{,}000~\text{Pa}

Explanation

P=ρgh=(1000)(10)(5.0)=50,000 Pa=50 kPaP = \rho g h = (1000)(10)(5.0) = 50{,}000~\text{Pa} = 50~\text{kPa}.

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