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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 elect
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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 E⃗ =F⃗ onq/q , and we used this to find the electric field of a point charge. Using analogous reasoning, what is the gravitational field g⃗ 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^ .
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2021-07-27T02:51:15+00:00
2021-07-27T02:51:15+00:00 1 Answers
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Answer:
F / m = G M / R²
Explanation:
The equation for the law of universal attraction is
F = G m M / R²
Where R is the distance to the object from the center of the earth,
F / m = G M / R²
In this case the F / m ratio is called gravity acceleration and is equivalent to the electric field in electricity.
In this case, since the gravitational force is always attractive, the direction of g is towards the center of the body and the quantity R varies very little because the radius of the Earth is very high.
R = Re + h
R = Re (1+ h / Re)
Re = 6.37 10⁶ m
We value of h in the Earth is less than 10⁴ m