Classical Dynamics of Particles and Systems · Problem 5-13

Calculus of Variations — Marion & Thornton

Physics — Mechanics · gravitational-force-planet-dust-cloud

Problem

A planet of density

\rho_1

(spherical core, radius

R_1

) with a thick spherical cloud of dust (density

\rho_2

, radius

R_2

) is discovered. What is the force on a particle of mass

m

placed within the dust cloud?