Prob. $1\mathrm{.}9\mathrm{.}8$ p$.$ IP$-9[$ Ans: $[$:$24\mathrm{.}5\}.$

$1\mathrm{.}9\mathrm{.}8$ WP Video As shown in Video V$1\mathrm{.}9,$ surface tension forces can be strong enough to allow a double$-$edge steel razor blade to "float" on water, but a single$-$edge blade will sink. Assume that the surface tension forces act at an angle $$ relative to the water surface, as shown in Fig. P$1\mathrm{.}9\mathrm{.}8.($a$)$ The mass of the double$-$edge blade is $0\mathrm{.}64{10}^{-3}kg,$ and the total length of its sides is $206mm.$ Determine the value of $$ required to maintain equilibrium between the blade weight and the resultant surface tension force. $($b$)$ The mass of the single$-$edge blade is $2\mathrm{.}61{10}^{-3}kg,$ and the total length of its sides is $154mm.$ Explain why this blade sinks$.$ Support your answer with the necessary calculations.