8. Centripetal Forces & Gravitation

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

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 $g=9.8m/s^2$.)

Which of the following indicates that the core of the earth is a liquid?

An astronaut has a mass of $80$ kg on Earth. What is his weight on Mars, where $g=3.76 m/s^2$?

What is the approximate distance from the surface to the center of the Earth?

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

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

A man with mass $90\mathrm{kg}$ is standing on the surface of the Earth. What is his weight? (Assume $g=9.8m/s^2$)

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?

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

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.)

Considering the variation of gravitational force inside a uniform $\mathrm{Earth}$, where would you find the least gravitational pull?

What is the weight, in newtons, of an object with a mass of $200\mathrm{kg}$ at a location where $g=9.6m/s^2$?

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

A uniform, solid, 1600.0 kg sphere has a radius of 5.00 m. Find the gravitational force this sphere exerts on a 2.10 kg point mass placed at the following distances from the center of the sphere: (a) 5.10 m, and (b) 2.55 m.