Fluids and Conservation Laws (Continuity, Bernoulli)

AP Physics 1· difficulty 2/5

A hydraulic lift uses pistons of areas 0.005 m20.005~\text{m}^2 (input) and 0.10 m20.10~\text{m}^2 (output). To support a 2000 N2000~\text{N} car on the output, the input force is

  • A

    50 N50~\text{N}

  • B

    2000 N2000~\text{N}

  • C

    100 N100~\text{N}

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  • D

    40,000 N40{,}000~\text{N}

Explanation

Same pressure: F1/A1=F2/A2F1=(0.005/0.10)2000=100 NF_1/A_1 = F_2/A_2 \Rightarrow F_1 = (0.005/0.10) \cdot 2000 = 100~\text{N}.

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