How many 100-km-diameter rocky (3000 kg/m3) planetesimals would have been needed to form earth?

Question

Geography

Izaiah Paul

26 June, 06:03

How many 100-km-diameter rocky (3000 kg/m3) planetesimals would have been needed to form earth?

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Clinton Vazquez · Answer 1

Mass of the Earth:m (E) = 5.972 * 10^27 kgThe rocky planetsimal:V = 4/3 * (100,000 m) ³ π = 4/3 * 10^15 * 3.14 = 4.1867 * 10^15 m³m (Planetsimal) = 4.1867 * 10^15 m³ * 3 * 10³ kg/m³ m (Planetsimal) = 1.256 * 10^19 kgFinally:5.975 * 10^27 kg : 1.256 * 10^19 kg = 4.7548 * 10^8 Answer : 4.7548 * 10^8 or 475,480,000 planetsimals