All Problems

Universal Gravitation

Problem 1.215

Inside a uniform sphere of density \(\rho\) there is a spherical cavity whose centre is at a distance \(l\) from the centre of the sphere. Find the strength \(G\) of the gravitational field inside the cavity.

Reveal Answer
G=4/3πρl . The field inside the cavity is uniform. G=-4 / 3 \pi \rho l \text { . The field inside the cavity is uniform. }