A block weighs at the surface and at a depth of in a vertical mine shaft

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

A 10 kg10\,\text{kg} block weighs 98 N98\,\text{N} at the surface and 96 N96\,\text{N} at a depth of 2.0 km2.0\,\text{km} in a vertical mine shaft. Assuming the weight varies linearly with depth in this region, determine its weight at a depth of 3.0 km3.0\,\text{km}.

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