Physics - Gravitation Question with Solution | TestHub

The mass of the sphere is $2\pi {\rho }_0{\mathrm{a}}^3$

The gravitational field at the surface of the sphere is $\left(2\pi {\rho }_0\mathrm{Ga}\right)$

The gravitational potential at the center of the sphere is $-4\pi {\rho }_0{\mathrm{Ga}}^2$.

The gravitational pressure at the distance $\frac{\mathrm{a}}{2}$ from the center of the sphere is $2\pi {\rho }_0{\mathrm{Ga}}^2\ell \mathrm{n}\left(\frac{1}{2}\right)$.