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777dan777 [17]
3 years ago
6

How much does the gravitational force of attraction change between two asteroids if the two asteroids drift three times closer t

ogether?
Physics
1 answer:
Katen [24]3 years ago
6 0

Answer:

Increase 9 times

Explanation:

We have Newton formula for attraction force between 2 objects with mass and a distance between them:

F_G = G\frac{M_1M_2}{R^2}

where G =6.67408 \times 10^{-11} m^3/kgs^2 is the gravitational constant. M_1, M_2 is the masses of the 2 objects. and R is the distance between them.

Since the force is inversely proportional to the distance squared, if it is reduced by 3 times, the gravitational force between them would increase by 3^2 = 9 times

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