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atroni [7]
3 years ago
8

Calculate the force of gravity on a 1-Kilogram box located a point 1.3x10^7 meters from the center of Earth if the force on a 2.

5-Kilogram box at the same point is 6.1 Newton’s.
Chemistry
1 answer:
k0ka [10]3 years ago
6 0

The force of gravity on the 1 kg box is 2 N.

The formula for the force of gravity <em>F</em> on an object with mass <em>m</em> is

<em>F</em> = (<em>GmM</em>)/<em>d</em>²

Since <em>G</em>, <em>M</em> , and <em>d</em> are the same for both objects, (<em>GM</em>)/<em>d</em>² = a constant = <em>k </em>). Then, we can write

<em>F = km </em>

<em>F</em>₂/<em>F</em>₁ = <em>m</em>₂/<em>m</em>₁

<em>F</em>₂ = <em>F</em>₁ × <em>m</em>₂/<em>m</em>₁

If the 2.5 kg box is object 1,

<em>F</em>₂= 6.1 N × (1 kg/2.5 kg) = 2 N

<em>Note</em>: The answer can have <em>only one significant figure</em> because that is all you gave for the mass of the 1 kg object.

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