If a asteroids are entering the earths atmosphere and

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If a asteroids are entering the earth's atmosphere and disintegrate with a rate that reduces their size by a factor on ½ by the time they strike the earth, assuming that they all strike the earth at a perpendicular angle to the surface , what is the likelihood of a given point being struck by an asteroid if the path density of asteroids is 100 asteroids per square km per/ day passing through a plane perpendicular to the earth and a size distribution for the radii, p(r)=[exp(-qr)]/r where q =0.1.

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