  A family of planar curves is called a Moser family if it contains an
isometric copy of every rectifiable curve in $\mathbb{R}^{2}$ of length one.
The classical "worm problem" of L. Moser from 1966 asks for the least area
covered by the curves in any Moser family. In 1979, J. M. Marstrand proved that
the answer is not zero: the union of curves in a Moser family has always area
at least $c$ for some small absolute constant $c > 0$. We strengthen
Marstrand's result by showing that for $p > 3$, the $p$-modulus of a Moser
family of curves is at least $c_{p} > 0$.
