The $70\mathrm{.}0-$lb boy at $A$ is suspended from the cable that passes over the quarter circular cliff rock as shown in $($Figure $1).$ Determine if it is possible for the $195-$lb woman to hoist him up$.$ The coefficient of static friction between the cable and the rock is ${}_s=0\mathrm{.}2,$ and between the shoes of the woman and the ground ${}_s^{\text{'}}=0\mathrm{.}8.$

Figure

$1$ of $1$

$1$ of $1$

Part B

Determine the maximum possible force due to friction that opposes the motion of the woman.

Express your answer to three significant figures and include the appropriate units.