Question

Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a hydraulic system. The piston chambers and the connecting tube are filled with an incompressible fluid. The cross-sectional areas of piston 1 and piston 2 are A₁ and A₂, respectively. A force F₁ is exerted on piston 1. Rank the resultant force F₂ on piston 2 that results from the combinations of F₁, A₁, and A₂ given from greatest to smallest. If any of the combinations yield the same force, give them the same ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)

1. F₁ = 5.0 N; A₁ = 0.7 m²; and A₂ = 1.4 m²

2. F₁ = 2.5 N; A₁ = 0.7 m²; and A₂ = 0.35 m²

3. F₁ = 2.5 N; A₁ = 1.4 m²; and A₂ = 2.8 m²

4. F₁ = 5.0 N; A₁ = 0.35 m²; and A₂ = 1.4 m²

5. F₁ = 5.0 N; A₁ = 0.35 m²; and A₂ = 0.7 m²

6. F₁ = 2.5 N; A₁ = 1.4 m²; and A₂ = 0.7 m²

Answer 1

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