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February 11, 2026

Today is the birthday of

Today’s Problem

A well known statement in radio astronomy is that the total energy collected by all radio telescopes on Earth since the 1930s is less than the energy of a single falling snowflake. Estimate the energy of a single falling snowflake.

Answer

A typical snowflake has a mass of about 3 mg. Snowflakes fall at a speed of around 1 m/s.

Substituting the typical snowflake mass and speed into the Newtonian formula for kinetic energy:

\[\begin{eqnarray} KE&=&\frac{1}{2}mv^2=\frac{1}{2}(3\times 10^{-6}\,\mathrm{kg})(1\,\mathrm{m/s})^2\\ &=&1.5\times 10^{-6}\,\mathrm{J} \end{eqnarray}\]

References


© 2026 Stefan Hollos and Richard Hollos