Physics

Problem

An ice skater exerts a force on the ice given by

\vec{F}_{\text{skater}\to\text{ice}} = 40\hat{i} - 10\hat{j}\,\text{N}

, where

\hat{i}

is east and

\hat{j}

is north. Determine the force exerted by the ice on the skater in unit-vector form.