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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?

Sagot :

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)

Answer:

d = 0.84 meters

Explanation:

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]

Where

d 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 meters

So, the distance between two masses is 0.84 meters. Hence, this is the required solution.