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mixer [17]
3 years ago
7

Find the change in the force of gravity between two planets when the distance between them becomes 10 times smaller. g

Physics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

F' = F/16

So, the force of gravity has become 16 times less than initial value.

Explanation:

The force of gravity between two planets, is given by the following formula:

F = Gm₁m₂/r²   ----------- equation 1

where,

F = Force of gravity between two planets

G = Gravitational Constant

m₁ = Mass of one planet

m₂ = Mass of other plant

r = Distance between two planets

Now, if the distance between the planets (r) is 10 times smaller, then Force of gravity will become:

F' = Gm₁m₂/(4r)²

F' = (1/16) (Gm₁m₂/r²)

using equation 1:

<u>F' = F/16</u>

<u>So, the force of gravity has become 16 times less than initial value.</u>

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