5. Consider a spherical asteroid with a radius of 12 km and a mass of 3.45 x 10 to the fifteenth power kg. (a) What is the acceleration of gravity on the surface of this asteroid? (b) Suppose the asteroid spins about an axis through its center, like the Earth, with an angular speed w. What is the greatest value w can have before loose rocks on the asteroid's equator begin to fly off the surface?

Solution Summary

The solution calculates the acceleration due to gravity on the surface of an asteroid and the angular velocity for which weightlessness is felt on the surface.

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I tried to use the g' = (G * m) / r^2 equation (with the mass of the earth as "m") because it was used with a somewhat similar problem in my book about the value of g on the top of Mount Everest, but I came up w

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