If two objects, each with a mass of 2.0x10^2 kg produce a gravitational force between them of 3.7x10^-6 N. What is the distance between them?

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Accepted Answer

Answer:d = 0.84 metersExplanation:It is given that,Mass of two objects, [tex]m_1=m_2=2\times 10^2\ kg[/tex]Gravitational force between them, [tex]F=3.7\times 10^{-6}\ N[/tex]The force that exist between two objects is called gravitational force. Its expression is given by :[tex]F=G\dfrac{m_1m_2}{d^2}[/tex]Whered is the distance between two masses[tex]d=\sqrt{\dfrac{Gm^2}{F}}[/tex][tex]d=\sqrt{\dfrac{6.67\times 10^{-11}\times (2\times 10^2)^2}{3.7\times 10^{-6}}}[/tex]d = 0.84 metersSo, the distance between two masses is 0.84 meters. Hence, this is the required solution.

Suggested Answer

By Newton's law of gravitation [tex]F= \frac{Gm_{1}m_{2}}{r^2} [/tex]then for [tex]m_{1}=m_{2}=m[/tex][tex]r=sqrt{\frac{Gm^2}{F}}[/tex]therefore r=0.849m (3sf)

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