Solution
= Solution
Each ship needs <centripetal acceleration> $\omega^2(l/2)$, supplied entirely by the <tension>. Thus
$$
\boxed{T=m\omega^2\frac l2=\frac{m(v_1+v_2)^2}{2l}=\frac{2L^2}{ml^3}.}
$$
The result has units of <force>, $\mathrm N$.
= Solution
Each ship needs <centripetal acceleration> $\omega^2(l/2)$, supplied entirely by the <tension>. Thus
$$
\boxed{T=m\omega^2\frac l2=\frac{m(v_1+v_2)^2}{2l}=\frac{2L^2}{ml^3}.}
$$
The result has units of <force>, $\mathrm N$.