To find the force between two masses, we can use Newton's law of gravitation formula:
f = G m1 m2 / r^2
where: f = force between the masses (13.34 MN or 13,340,000 N) G = gravitational constant (6.67 x 10^-11 N m^2/kg^2) m1 = mass of object 1 (2 x 10^6 kg or 2,000,000 kg) m2 = mass of object 2 (3 x 10^6 kg or 3,000,000 kg) r = distance between the centers of the two masses
We are looking to find the distance between the two masses (s), so we can rearrange the equation to solve for r:
r = sqrt(G m1 m2 / f)
Now we can plug in the values:
r = sqrt((6.67 x 10^-11 N m^2/kg^2) (2 x 10^6 kg) (3 x 10^6 kg) / 13,340,000 N) r = sqrt((4.002 x 10^-4 N m^2) / 13,340,000 N) r = sqrt(3 x 10^-11 m^2) r = 1.732 x 10^-5 m
Therefore, the distance between the two masses is approximately 1.732 x 10^-5 meters or 0.00001732 meters or 17.32 micrometers.
To find the force between two masses, we can use Newton's law of gravitation formula:
f = G m1 m2 / r^2
where:
f = force between the masses (13.34 MN or 13,340,000 N)
G = gravitational constant (6.67 x 10^-11 N m^2/kg^2)
m1 = mass of object 1 (2 x 10^6 kg or 2,000,000 kg)
m2 = mass of object 2 (3 x 10^6 kg or 3,000,000 kg)
r = distance between the centers of the two masses
We are looking to find the distance between the two masses (s), so we can rearrange the equation to solve for r:
r = sqrt(G m1 m2 / f)
Now we can plug in the values:
r = sqrt((6.67 x 10^-11 N m^2/kg^2) (2 x 10^6 kg) (3 x 10^6 kg) / 13,340,000 N)
r = sqrt((4.002 x 10^-4 N m^2) / 13,340,000 N)
r = sqrt(3 x 10^-11 m^2)
r = 1.732 x 10^-5 m
Therefore, the distance between the two masses is approximately 1.732 x 10^-5 meters or 0.00001732 meters or 17.32 micrometers.