Please could you help me solve this question, thanks. 1. (Maths) An alien artefact in the form of a smooth, metal sphere of radius 100m hasbeen found entering the Solar System (not really!). Preliminary tests suggest that thedensity of the object varies asP(T, 0) = 10¹101 (3 × 101 +4x+cos²kg min 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. Calculate the total mass of the sphere.Set up the integral:To find the total mass, we need to…

Answered: 1. (Maths) An alien artefact in the…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 14PQ: Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility...

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