Calculate the tension $($in N$)$ in a vertical strand of spiderweb if a spider of mass $7\mathrm{.}0010-5$ kg hangs motionless on it$.($Enter a number.$)$

$0\mathrm{.}68$

N

$($b$)$

Calculate the tension $($in N$)$ in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure.

A nearly horizontal tightrope is supported by two vertical poles. A tightrope walker balances at the center of the tightrope, displacing it slightly downward, so that each side of the rope makes a $5\mathrm{.}0\backslash$deg angle with the horizontal. Three arrows are drawn from the point where the tightrope walker's foot meets the rope.

TL points to the left and slightly upward, along the rope.

TR points to the right and slightly upward, along the rope.

w$,$ which is shorter than TR and TL$,$ points vertically downward.

A small free$-$body diagram in the corner has three arrows. The $+$x$-$axis points rightward and $+$y$-$axis points upward.

TL points to the left and slightly upward.

TR points to the right and slightly upward.

w$,$ which is shorter than TR and TL$,$ points vertically downward.

The strand sags at an angle of $14\mathrm{.}0\backslash$deg below the horizontal. $($Enter a number.$)$

N

Compare this with the tension in the vertical strand $($find their ratio$).($Enter a number.$)$

$($tension in horizontal strand$)($tension in vertical strand$)=$