Knowing the constant g what will the gravitational force between two masses be if the gravitational force between them is 36n and the distance is tripled? answer
The gravitational force between two masses 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 separation between the two masses
We see that the force is proportional to the inverse of the square of the distance: [tex]F \sim \frac{1}{r^2} [/tex] therefore, if the distance is tripled: r'=3r The force decreases by a factor 1/9: [tex]F \sim \frac{1}{(3r)^2}= \frac{1}{9} \frac{1}{r^2} [/tex]
Since the original force was 36 N, the new force will be [tex]F' = \frac{1}{9} (36 N)= 4 N [/tex]
