The amount of energy needed to break up an asteroid is much less than the amount of energy required to scatter all of its fragments.

Name: The amount of energy needed to break up an asteroid is much less than the amount of energy required to scatter all of its fragments.
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Breaking up an asteroid into smaller pieces requires less energy than dispersing those fragments widely enough to ensure they don't re-coalesce due to their mutual gravitational attraction.

The Amount of Energy Needed to Break Up an Asteroid