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Fluids and Newton's Laws (Buoyancy)

AP Physics 1· difficulty 4/5

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A solid sphere has volume V=2.0×10−3V = 2.0\times10^{-3} m3^3 and density ρs=8000\rho_s = 8000 kg/m3^3. It is fully submerged in water (ρw=1000\rho_w = 1000 kg/m3^3). What is the tension in the supporting wire?

  • A

    137137 N

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  • B

    176176 N

  • C

    2020 N

  • D

    157157 N

Explanation

T=(ρs−ρw)Vg=(7000)(2.0×10−3)(9.8)=137T = (\rho_s - \rho_w) V g = (7000)(2.0\times10^{-3})(9.8) = 137 N.

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