Question

what is the distance between 2 objects of masses 10kg each which attract each other with force of 6.67×10^-11

Answer 1

According to the Newtonian Law of Gravitation

Force = G*m1*m2/r^2
So,
6.67*10^-11 Newton = 6.67*10^-11 *(10)(10) / r^2

Since the value of the gravitational constant is approximately = 6.67*10^-11

So,
r^2 = 100
Therefore,
the distance between the two objects is 10 metres.

Answer 2

Let the distance be x m,
According to Newton's Universal law of gravitation,
F = (GMm)/r^2
Therefore,
$6.67 \times {10}^{ - 11} = \frac{6.67 \times {10}^{ - 11} \times 10 \times 10 }{ {x}^{2} } \\ = > {x}^{2} = 100 \\ = > x = \sqrt{100} \\ = > x = 10(since \: distance \: cannot \: be \: \: - ve)$
Hence, they are 10 m apart