As you move farther up a mountain, how does the gravitational force experienced by an object change? $F=G\frac{m}{r}{2}^{}$

If you are located anywhere inside a hollow spherical shell of uniform mass, what is the magnitude of the gravitational field at that point?$g$?

In which layer of $\mathrm{Earth}$'s interior does convection primarily occur?

Which layer of the Earth does not transmit $S$ waves?

Given that the mass of the Earth is $M_E$, the mass of the Moon is $M_M$, and the distance between their centers is $d$, how far from the center of the Earth is the center of mass of the Earth-Moon system?

Why do $S$ waves disappear at the core-mantle boundary?

A $1-\mathrm{kg}$ object is placed at the surface of the Earth. What is the magnitude of the gravitational force exerted on it by the Earth? (Assume $g=9.8m/s^2$.)

If you could stand on the surface of the Sun, by what factor would your weight increase compared to your weight on $Earth$? (Assume both bodies are perfect spheres and neglect rotation and atmospheric effects.)