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The gravitational pull between two bodies is 20N. Find the gravitational pull when their distance of separation is doubled.
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Physics
The gravitational pull between two bodies is 20N. Find the gravitational pull when their distance of separation is doubled.
Recall Newton's Law of Universal Gravitation.
The gravitational force () between two bodies is inversely proportional to the square of the distance () between their centers.
This can be written as:
where is the gravitational constant, and and are the masses of the two bodies.
Set up the initial condition.
Let the initial gravitational pull be at an initial distance .
So,Calculate the new gravitational pull when the distance is doubled.
The new distance of separation is .
Let the new gravitational pull be .Substitute into the equation:
From Step 2, we know that .
So,The final answer is .
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