At a hill station a barometer shows a mercury column height of

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

At a hill station a barometer shows a mercury column height of 650 mm650\,\text{mm}. A student wishes to use an alcohol manometer (density 790 kg m−3790\,\text{kg\,m}^{-3}) to measure the same atmospheric pressure. (a) Determine the atmospheric pressure at the hill station in pascals. (b) Calculate the corresponding height of the alcohol column required to balance this pressure. (c) If the barometer is carried from the hill station down to sea level where the mercury height becomes 760 mm760\,\text{mm}, compute the additional force exerted by the atmosphere on a horizontal surface of area 1 m21\,\text{m}^{2} due to the increase in pressure.

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