Question

Item 25 The electric field was defined as E - Fon a/g, and we used this to find the electric field of a point charge. Using analogous reasoning, what is the gravitational field g of a point mass? Write your answer using the unit vector , but be careful with signs; the gravitational force between two "like masses" is attractive, not repulsive Newton's law of gravity and Coulomb's law are botlh inverse-square laws. Consequently, there should be a "Gauss's law for gravity." Express your answer in terms of the variables G, M, , and T Submit My Answers Give Up Part B The Gausss law for gravity: $g-dA =-4πGMy A spherical planet is discovered with mass M. radius R, and a mass density that varies with radius as ρ-Po(1-r/2R), where Po is the density at the center. Determine Po in terms of M and R. Hint: Divide the planet into infinitesimal shells of thickness dr, then sum (i.e., integrate) their masses. Express your answer in terms of the variables M and R.

Answer 1

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a go by ahaloyuas vesoning Greavitational field due to n' avi BA im rection o force on m due to M tel31- theorm, Hear ito tinal field