A sphere of uniform density p has within it a spherical cavity whose centre is a distance a from the centre of the sphere. Show that the gravitational field within the cavity is uniform and determine its magnitude and direction.
A sphere of uniform density p has within it a spherical cavity whose centre is a distance a from the centre of the sphere. Show that the gravitational field within the cavity is uniform and determine its magnitude and direction.
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![A sphere of uniform density p has within it a spherical cavity whose
centre is a distance a from the centre of the sphere. Show that the
gravitational field within the cavity is uniform and determine its
magnitude and direction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30e518f5-744a-4d6e-addb-1ce9a24747bf%2Fc5bec01f-271b-4419-b164-0e06589cf652%2Fvo0z7ia_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A sphere of uniform density p has within it a spherical cavity whose
centre is a distance a from the centre of the sphere. Show that the
gravitational field within the cavity is uniform and determine its
magnitude and direction.
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