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Pressure

AP Physics 1· difficulty 4/5

F_b mg

A sphere falls at terminal velocity vTv_T through a fluid where drag force is Fd=bvF_d = bv. Gravity is mgmg and buoyancy is FbF_b. What is vTv_T?

  • A

    Fb−mgb\dfrac{F_b - mg}{b}

  • B

    mg−Fbb\dfrac{mg - F_b}{b}

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  • C

    mg+Fbb\dfrac{mg + F_b}{b}

  • D

    mgb−Fb\dfrac{mg}{b - F_b}

Explanation

At terminal velocity net force is zero: bvT=mg−Fbbv_T = mg - F_b, so vT=(mg−Fb)/bv_T = (mg - F_b)/b.

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