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?
By Newton's law of gravitation
\(F= \frac{Gm_{1}m_{2}}{r^2}\)
then for \(m_{1}=m_{2}=m\)
\(r=sqrt{\frac{Gm^2}{F}}\)
therefore
r=0.849m (3sf)
Answer:
d = 0.84 meters
Explanation:
It is given that,
Mass of two objects, \(m_1=m_2=2\times 10^2\ kg\)
Gravitational force between them, \(F=3.7\times 10^{-6}\ N\)
The force that exist between two objects is called gravitational force. Its expression is given by :
\(F=G\dfrac{m_1m_2}{d^2}\)
Where
d is the distance between two masses
\(d=\sqrt{\dfrac{Gm^2}{F}}\)
\(d=\sqrt{\dfrac{6.67\times 10^{-11}\times (2\times 10^2)^2}{3.7\times 10^{-6}}}\)
d = 0.84 meters
So, the distance between two masses is 0.84 meters. Hence, this is the required solution.