You weigh a body with a mass $m$ on an electronic scale, which is calibrated with a known mass.

(a) What does the scale actually measure, and what are its dimensions?

(b) If the scale is calibrated in the appropriate system of units, what would the scale reading be if the mass of $m$ is (1) $1 \mathrm{slug}$; (2) $1 \mathrm{lb}_{\mathrm{m}}$ (in scientific units); (3) $1 \mathrm{lb}_{\mathrm{m}}$ (in engineering units); (3) $1 \mathrm{~g}_{\mathrm{m}}$ (in scientific units); (4) $1 \mathrm{~g}_{\mathrm{m}}$ (in engineering units).