Question

Two spheres are 1.02 km apart. one of the spheres has a mass of 57.0 kg, and the force of attraction between the spheres is 1.79 x 10-14 n. calculate the mass of the other sphere.

Answer 1

The force of attraction between two objects is calculated through the equation,
                               F = Gm₁m₂ / d²
where G is universal gravitational constant equal to 6.674 x 10⁻¹¹ Nm²/kg². m₁ and m₂ are masses of the objects, and d is the distance between them. Substituting the known values, 
                   1.79 x 10⁻¹⁴ N = (6.674 x 10⁻¹¹ Nm²/kg²) x (57 kg)(m₂) / (1020 m)²
The value of m₂ from the equation above is equal to
                                       m₂ = 4.895 kg