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The gravitational force of attraction between two students sitting at their desks in physics class is 3.9 × 10−8 N. If one student has a mass of 56.5 kg and the other has a mass of 61.5 kg, how far apart are the students sitting? The universal gravitational constant is 6.673 × 10−11 N · m2 /kg2 . Answer in units of m.

Respuesta :

Answer:

Distance between the students is 2.4377 m

Explanation:

We have given that force between the students [tex]F=3.9\times 10^{-8}N[/tex]

Mass of first student [tex]m_1=56.5kg[/tex]

Mass of second student [tex]m_2=61.5kg[/tex]

Gravitational constant [tex]G=6.67\times 10^{-11}Nm^2/kg^2[/tex]

From gravitational law we know that force between two objects is given by

[tex]F=\frac{Gm_1m_2}{R^2}[/tex]

So [tex]3.9\times 10^{-8}=\frac{6.67\times 10^{-11}\times 56.5\times 61.5}{R^2}[/tex]

[tex]R=2.4377m[/tex]

So distance between the students is 2.4377 m