1. (Maths) An alien artefact in the form of a smooth, metal sphere of radius 100m has been found entering the Solar System (not really!). Preliminary tests suggest that the density of the object varies as P(T, 0) = 10¹ 101 (3 × 101 +4 x +cos² kg m in its outer layers, but it is hollow inside a radius of 50m. Calculate the total mass of the sphere. What fraction of the total mass of the sphere is contained between latitudes of +30° and the "north pole" of the object? [Hint: Latitude is not the same as 0.]

1. (Maths) An alien artefact in the form of a smooth, metal sphere of radius 100m has been found entering the Solar System (not really!). Preliminary tests suggest that the density of the object varies as P(T, 0) = 10¹ 101 (3 × 101 +4 x +cos² kg m in its outer layers, but it is hollow inside a radius of 50m. Calculate the total mass of the sphere. What fraction of the total mass of the sphere is contained between latitudes of +30° and the "north pole" of the object? [Hint: Latitude is not the same as 0.]

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 81AP: The nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away...

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