A solid sphere of mass M and radius R has a spherical cavity of radius $$R/2$$ such that the centre of cavity is at a distance $$R/2$$ from the centre of the sphere. A point mass m is placed inside the cavity at a distance $$R/4$$ from the centre of sphere. The gravitational force on mass m is

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Infinity Learn · Accepted Answer

Field strength is uniform inside the cavity. Let us find its value at centre.$$ET=EO+EC(T=$$ Total ,$$O=$$ Remaining ,$$C=$$ Cavity $$)$$∴  $$EO=ET-EC=GMR3R2-0=GM2R2$$∴  $$F=mFR=GMm2R2$$

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distance R/4 from the centre of sphere. The gravitational force on mass m is

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