The figure below shows, not to scale, a cross section through the interior of Ea
ID: 2208170 • Letter: T
Question
The figure below shows, not to scale, a cross section through the interior of Earth. Rather than being uniform throughout, Earth is divided into three zones: an outer crust, a mantle, and an inner core. The dimensions of these zones and the masses contained within them are shown on the figure. Earth has a total mass of 5.98 times 1024 kg and a radius of 6370 km. Ignore rotation and assume that Earth is spherical. Calculate ag at the surface. m/s2 Suppose that a bore hole (the Mohole) is driven below the crust-mantle interface to a depth of 220. km below the surface; what would be the value of ag at the bottom of the hole? m/s2 Suppose that Earth were a uniform sphere with the same total mass and size. What would be the value of ag at a depth of 220. km? m/s2 (Precise measurements of ag are sensitive probes of the interior structure of Earth, although results can be clouded by local variations in mass distribution.)Explanation / Answer
ag= GM/r^2 G is the gravitational constant, 6.673 x 10^-11 M is the mass of the planet r is the radius since we go down 60 km, we do 6,370-60= 6,310 km Im going to turn it into meters 6.673 x 10^-11 x 5.98 x 10^24/6,310,000^2 ag= 10.02 m/s