What is the magnitude of the gravitational force between two 1-kg bodies that are 1 m apart?

To find the magnitude of the gravitational force between two masses, we can use Newton's law of universal gravitation, which is given by the formula:

[ F = G \frac{m_1 m_2}{r^2} ]

Where:

• ( F ) is the gravitational force,
• ( G ) is the gravitational constant, approximately ( 6.67 \times 10^{-11} , \text{N m}^2/\text{kg}^2 ),
• ( m_1 ) and ( m_2 ) are the masses of the two bodies (in this case, both are 1 kg),
• ( r ) is the distance between the centers of the two masses (1 meter in this scenario).

Substituting the values into the equation:

[ F = 6.67 \times 10^{-11} \times \frac{(1)(1)}{(1)^2} ] [ F = 6.67 \times 10^{-11} , \text{N} ]

Thus, the magnitude of the gravitational force between the two 1-kg bodies that are 1 meter apart is ( 6.67