The figure below shows a cross section through the interior of the Earth. Rather than being uniform…

The figure below shows a cross section through the interior of the Earth. Rather than being uniform throughout, the Earth is divided into different zones: outer crust, mantle, and an inner core. The dimensions of these zones and the masses contained within them are shown on the figure. The Earth has a total mass of 10^24 kg and a radius of 6370 km. Ignore rotation and assume that the Earth is spherical. (Precise measurements of g are sensitive to the interior structure of the Earth, although results can be clouded by local variations in mass distribution. Enter your answers to at least three decimal places:) G = 6.67 x 10^-11 kg Mantle = 4 x 10^23 kg Crust = 3 x 10^22 kg 3490 km (a) Calculate g, the surface acceleration due to gravity: 9.83 m/s^2 (b) Suppose that a borehole (the Mohole) is driven below the crust-mantle interface to a depth of 30.0 km below the surface. What would be the value of g at the bottom of the hole? (c) Suppose that the Earth were a uniform sphere with the same total mass and size. What would be the value of g at a depth of 30.0 km?

Watch the full video at:

Never get lost on homework again. Numerade is a STEM learning website and app with the world’s largest STEM video library.
Join today and access millions of expert-created videos, each one skillfully crafted to teach you how to solve tough problems step-by-step.

Join Numerade today at: