# Was it physically possible for the Balloon Boy to fly away? A mathematical explanation

Last week, news organizations erupted with the story that a six-year-old boy, Falcon Heene, climbed into a helium-filled Mylar balloon in Colorado and floated away from his parents.

When the balloon landed, the boy wasn’t on board, terrifying locals who searched for him and captivating a nation.

The story turned out to be a hoax (the boy was hiding in the family’s attic) and publicity for a reality television show.

But was it actually physically possible for that balloon to carry away a child of his size?

Adam Weiner at Popular Science took a stab at the math to find out if a helium-filled balloon would have sufficient buoyancy to actually lift the boy.

Buoyancy is a result of a difference in pressure between the top and bottom of a submerged object. Invoking Archimedes’ Principle — which says that the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object — Weiner writes that, “in order to lift off of the ground, the upward buoyant force must be greater than the downward force of gravity acting on the contents of the balloon, including the helium, the balloon material, any attached components, and any small boys that publicity, obsessed parents may claim to be on board.”

Under the assumption that the boy weighed 40 lbs. and using an approximation of the volume of the balloon based on captured video of the incident, Weiner attests that yes, the boy could have been lifted off the ground “if the balloon material and any attached components weighed less than about 9 pounds.”

Weiner’s not the only one who tried doing the math. Steve Spangler gave it a go with a traditional balloon and regular readers are applying their own knowledge in a thread at Yahoo! Answers.

As for whether that boy could make it to an altitude of 7,000 feet, well, that’s a different story.

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Andrew Nusca is the editor of SmartPlanet.

#### Andrew Nusca

Editor

Andrew Nusca is editor of SmartPlanet and an associate editor for ZDNet. Previously, he worked at Money, Men's Vogue and Popular Mechanics magazines. He holds degrees from the Columbia University Graduate School of Journalism and New York University. He based in New York but resides in Philadelphia.

#### Andrew Nusca

Andrew Nusca does not hold any investments in the companies he covers.
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###### RE: Was it physically possible for the Balloon Boy to fly away? A mathematical explanation
If Steve Spangler can't prove it, nobody can. My respect for that man is sky high - way higher than the balloons!

--Ilsa Larsdotter
Posted by IlsaLarsdotter
19th Oct 2009
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