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Fluids and Conservation Laws (Continuity, Bernoulli)

AP Physics 1· difficulty 2/5

Water flows from a pipe at 0.60 m/s0.60~\text{m/s} through cross-section 0.020 m20.020~\text{m}^2. How long to fill a 300 L300~\text{L} tank?

  • A

    25 s25~\text{s}

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  • B

    15 s15~\text{s}

  • C

    50 s50~\text{s}

  • D

    100 s100~\text{s}

Explanation

Volume rate: Av=0.012 m3/sA v = 0.012~\text{m}^3/\text{s}. 300 L=0.30 m3300~\text{L} = 0.30~\text{m}^3. t=0.30/0.012=25 st = 0.30/0.012 = 25~\text{s}.

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