Newton\'s law of gravity and Coulomb\'s law are both inverse-square laws. Conseq

Question

Newton's law of gravity and Coulomb's law are both inverse-square laws. Consequently, there should be a "Gauss's law for gravity."

The electric field was defined as E =F onq/q , 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 r^ , but be careful with signs; the gravitational force between two "like masses" is attractive, not repulsive.

Express your answer in terms of the variables G , M , r , and r^ .

Explanation / Answer

gravitational field E = F/m

F = GMmr^/r^2

E = F/m

gravitationla force E = GMr^/r^2

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