An ideal hydraulic output piston has five times the input area. How does output force compare?

The output force is five times larger.

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  1. Five times larger ✔
  2. Five times smaller
  3. Exactly the same

Why: Equal pressure acts on both pistons, so F1/A1 = F2/A2. Five times the area gives five times the force, ignoring height differences and friction.

Huh, didn't know that: Force multiplication trades for distance: the larger piston moves less far for the same displaced fluid volume.

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The hydraulic jack got promoted because it lifted the whole team.
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References

Answer: Five times larger. Equal pressure acts on both pistons, so F1/A1 = F2/A2. Five times the area gives five times the force, ignoring height differences and friction.

  1. OpenStax University Physics Volume 1, Pascal's Principle and Hydraulics openstax.org/books/university-physics-volume-1/pages/14-3-pascals-principle-and-hydraulics
    To make the force larger, the pressure is applied to a larger area.
    Checked 2026-10-10.

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