A thin uniform spherical shell has radius and total mass

PHYSICS · Subjective · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A thin uniform spherical shell has radius RR and total mass MM. (a) Prove that the gravitational field intensity at an internal point situated at a distance x (<R)x\,(<R) from the centre of the shell is zero. (b) Obtain an expression for the gravitational field intensity at an external point situated at a distance r (>R)r\,(>R) from the centre, and comment on its dependence on rr.

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