Respuesta :
If the original force between two objects is 0.90 N, and the distance is tripled the original then the new gravitational force between the objects will be 0.30 N.
Given to us
Original force, F = 0.90 N
Distance, d = 3d
Distance afterward, [tex]\rm d_{new} = 3d[/tex]
What is the gravitational force between the two objects when distance is d?
We know that gravitational force between any two objects can be written as,
[tex]\rm Force,\ F = G\dfrac{m_1m_2}{r}[/tex]
Substitute the values,
[tex]\rm 0.90 = G\dfrac{m_1m_2}{d}[/tex]
What is the gravitational force between the two objects when distance is 3d?
We know that gravitational force between any two objects can be written as,
[tex]\rm Force,\ F = G\dfrac{m_1m_2}{r}[/tex]
Substitute the values,
[tex]\rm F_{new} = G\dfrac{m_1m_2}{3d}[/tex]
[tex]\rm F_{new} =\dfrac{1}{3}\times G\dfrac{m_1m_2}{d}[/tex]
[tex]\rm F_{new} =\dfrac{1}{3}\times 0.90[/tex]
[tex]\rm F_{new} =0.3\ N[/tex]
Hence, if the original force between two objects is 0.90 N, and the distance is tripled the original then the new gravitational force between the objects will be 0.30 N.
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