(III) The Earth is not a uniform sphere, but has regions of varying density. Consider a simple model of the Earth divided into three regions-inner core, outer core, and man- tle. Each region is taken to have a unique constant density (the average density of that region in the real Earth): Region Radius (km) Density (kg/m³) Inner Core 0-1220 13,000 Outer Core 1220–3480 11,100 Mantle 3480–6380 4400 (a) Use this model to predict the average density of the entire Earth. (b) If the radius of the Earth is 6380 km and its mass is 5.98 × 1024 kg, determine the actual average density of the Earth and compare it (as a percent difference) with the one you determined in (a).

(III) The Earth is not a uniform sphere, but has regions of varying density. Consider a simple model of the Earth divided into three regions-inner core, outer core, and man- tle. Each region is taken to have a unique constant density (the average density of that region in the real Earth): Region Radius (km) Density (kg/m³) Inner Core 0-1220 13,000 Outer Core 1220–3480 11,100 Mantle 3480–6380 4400 (a) Use this model to predict the average density of the entire Earth. (b) If the radius of the Earth is 6380 km and its mass is 5.98 × 1024 kg, determine the actual average density of the Earth and compare it (as a percent difference) with the one you determined in (a).

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 44P: A straightforward method of finding the density of an object is to measure its mass and then measure...

See similar textbooks

Similar questions

Check Your understanding Repeat ExampIe12.4 assuming that the forearm is object of uniform density that weighs 8.896 N.
A straightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it in a graduated cylinder. What is the density of a 240-g rock 89.0 cm3 of water? (Note that the accuracy and practical applications of this technique are more limited than a variety of others that are based on Archimedes' principle.)
Logs sometimes float vertically a lake because one end has become water-logged and denser than the other. What is the average density of a uniform-diameter log that floats with 20.0% of its length above water?
The greatest ocean depths on Earth are found in the Marianas Trench near the Philippines. Calculate the pressure due to ocean at bottom of this trench, given its depth is 11.0 km and assuming density of seawater is constant all way down.
Suppose you have a coffee with a circular cross-section and vertical sides (uniform radius). What is its inside radius if it holds 375 g of coffee filled to a depth of 7.50 cm? Assume coffee has the same density as water.
Check Your Understanding If the normal force acting on each face of a cubical 1.0m3 piece of steel is changed by 1.0107 N. find the resulting change in the volume of the piece of steel.
A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be following figure). There is a spout located 0.15 m from the bottom of tank, open to the atmosphere, and a stream of water exits the spout. The cross sectional area of the spat is As=7.0104m2 . (a) What is the velocity of the water as it leaves the spout? (b) If the opening of the spout is located 1.5 m above the grand, how far from be pout does water hit the floor? Ignore friction and dissipative forces.
The flow of blood through a 2.00106 m -radius capillary is 3.80109cm3/s . (a) What is the speed of be blood now? (b) Assuming all the blood in the body passes through capillaries, how many of them must there be to carry a total flow of 90.0 cm3/s?
Blood is pumped from the heart at a rate of 5.0 L/min into the aorta (of radius 1.0 cm). Determine the speed of blood through the aorta.
Prove the sped of an incompressible fluid through a constriction, such as a Venturi tube, increases by a factor equal to the square of the factor by which the diameter decreases. (The converse applies for flow out of a constriction into a larger-diameter region.)
In Chapter 1.6 in the discussion of the hydrometer, it is stated: The higher the bulb floats, the greater the density of the liquid. Why is this? (See Fig. 1.14.)
Because atmospheric pressure is about 105 N/m2 and the area of a persons chest is about 0.13 m2, the force of the atmosphere on ones chest is around 13 000 N. In view of this enormous force, why dont our bodies collapse?