With the radius of the Earth ˜ 6,380 km, assuming the fatal surface area of impa

Question

With the radius of the Earth ˜ 6,380 km, assuming the fatal surface area of impact of a fallenartificial satellite ˜ 75 m2, and assuming one satellite falls (intact, in one piece) fromthe sky every 1 second (also assuming there are lots and lots ofsatellites orbiting the earth), what are the odds that a 23 year old man will be struck by oneof these falling satellites in the remainder of his entire lifetimeon Earth? (assuming this particular man lives to an estimatedlife expectancy of 73 years old) With the radius of the Earth ˜ 6,380 km, assuming the fatal surface area of impact of a fallenartificial satellite ˜ 75 m2, and assuming one satellite falls (intact, in one piece) fromthe sky every 1 second (also assuming there are lots and lots ofsatellites orbiting the earth), what are the odds that a 23 year old man will be struck by oneof these falling satellites in the remainder of his entire lifetimeon Earth? (assuming this particular man lives to an estimatedlife expectancy of 73 years old)

Explanation / Answer

Assuming random distribution the probability per secondis Ps = Asatellite/Aearth Ps = 75 / 4(6.380x106)2= 1.47x10-13 Probability of a 23 year oldd man to be hit with alifeexpectancy of a 73 years will be Pa = (73 - 23)/73 Total probability Pt= Ps Pa =  1.47x10-13 x 50/73= Pt= 1.00x10-13 This should be it. Have fun. This should be it. Have fun.

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