Newton\'s law of gravity and Coulomb\'s law are both inverse-square laws. Conseq
ID: 1570909 • Letter: N
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