Suppose there is an asteroid that was originally spherical with radius R and of
ID: 2198170 • Letter: S
Question
Suppose there is an asteroid that was originally spherical with radius R and of uniform density. Aliens have been mining the asteroid so that there is now a perfectly spherical cavity of radius R/2 within the asteroid. The cavity is centered halfway between the center and the surface of the asteroid (refer to the following figure). If the current mass of the asteroid is M, what is the magnitude of the gravitational force acting on an object of mass m located at the center (labeled O in the figure) of the asteroid? Sorry i cannot upload the figure, but it is a diagram of a smaller sphere inside a larger sphere and O is a point at the bottom of the smaller sphere, which is also the center of the larger sphere.
Explanation / Answer
F=F due to total spher - F due to sphere of radius R/==>
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