A mechanic compares two identical hydraulic lifts

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

Problem

A mechanic compares two identical hydraulic lifts. In Lift I the large piston is at the same vertical level as the small piston, while in Lift II the large piston is 0.50 m0.50\,\text{m} lower than the small piston. Both lifts use oil of density 800 kg m−3800\,\text{kg\,m}^{-3} and carry the same 12 000 N12\,000\,\text{N} load on the large piston. How will the minimum input force on the small piston in Lift II compare with that in Lift I? (a) It will be greater than in Lift I. (b) It will be smaller than in Lift I. (c) It will be the same as in Lift I. (d) The comparison depends only on the piston areas, not on the height difference.

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