A vertical cylinder contains water and is closed at the bottom by a horizontal…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A vertical cylinder contains water and is closed at the bottom by a horizontal circular piston of area 0.030 m20.030\,\text{m}^2. The upper water surface is open to the atmosphere. If the piston is 5.0 m below the water surface, what magnitude of upward force must be applied to the piston (in addition to its weight) to keep it in equilibrium? Take ρwater=1.0×103 kg m−3\rho_{\text{water}} = 1.0\times10^{3}\,\text{kg}\,\text{m}^{-3} and g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}. (a) 4.9×103  N4.9\times10^{3}\;\text{N} (b) 1.5×102  N1.5\times10^{2}\;\text{N} (c) 1.5×103  N1.5\times10^{3}\;\text{N} (d) 4.9×104  N4.9\times10^{4}\;\text{N}

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