Gravitational field of the cavity

Score: 2 Points

A planet of radius $6500$ $km$ with mass density $3900 \frac{kg}{m^3}$ has a spherical cavity of radius $1$ $km$. The center of the cavity is $50$ $km$ away from the center of the sphere. Determine the gravitational field at the surface of the cavity. 

Hint: Use the theory of negative mass



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