cbol5lszebreneckyd cbol5lszebreneckyd
  • 02-03-2017
  • Physics
contestada

If the distance between two masses is tripled, the gravitational force between changes by a factor of

A. 1/9
B. 1/3
C. 3
D. 9

Respuesta :

tisa726
tisa726 tisa726
  • 02-03-2017
A. 1/9 is the answer.
Answer Link
skyluke89
skyluke89 skyluke89
  • 07-11-2018

A. 1/9

Explanation:

The gravitational force between two objects is given by

[tex]F=G\frac{m_1 m_2}{r^2}[/tex]

where

G is the gravitational constant

m1 and m2 are the two masses

r is the distance between the two masses

From the formula, we see that the magnitude of the force is inversely proportional to the square of the distance: therefore, if the distance is tripled (increased by a factor 3), the magnitude of the force changes by a factor

[tex]\frac{1}{r^2}=\frac{1}{3^2}=\frac{1}{9}[/tex]

Answer Link

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