Problem $1\mathrm{.}7$

Verify the dimensions, in both the FLT system and the MLT system, of the following quantities

$($a$)$ Acceleration, $($b$)$ stress, $($c$)$ moment of a force, $($d$)$ volume, and $($e$)$ work.$($energy$)$

Problem $1\mathrm{.}9$

If $P$ is force and $x$ is length, what are the dimensions $($in the $FLT$ system$)$ of $($a$)d\frac{P}{d}x,($b$)d^3\frac{P}{d}{x}^3,$ and $($c$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}Pdx?$

Problem $1\mathrm{.}31$

A tank of oil has a mass of $25$ slugs. $($a$)$ Determine its weight in pounds and in Newtons at the Earth's surface. $($b$)$ What would be its mass $($in slugs$)$ and its weight $($in pounds$)$ if located on the moon's surface where the gravitational attraction is approximately one$-$sixth that at the Earth's surface?