A small piston of area is pushed down through with a force of in a closed hydraulic system

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A small piston of area 2 cm22\,\text{cm}^{2} is pushed down through 15 cm15\,\text{cm} with a force of 250 N250\,\text{N} in a closed hydraulic system. It is connected to a large piston of area 100 cm2100\,\text{cm}^{2}. Which pair of values for the load that can be supported by the large piston and its upward displacement is the closest? (a) 1.3×103 kg1.3\times10^{3}\,\text{kg} and 0.3 cm0.3\,\text{cm} (b) 1.3×103 kg1.3\times10^{3}\,\text{kg} and 7.5 cm7.5\,\text{cm} (c) 2.5×102 kg2.5\times10^{2}\,\text{kg} and 0.3 cm0.3\,\text{cm} (d) 1.3×104 kg1.3\times10^{4}\,\text{kg} and 0.3 cm0.3\,\text{cm}

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