Question

The centres of two identical spheres are at a distance of 5.0 m apart. If the gravitational force between the sphere be 4.0N then what is the mass of each sphere?(G-6.67×10^-11 Nm^2 kg^2.
Please don't give unnecessary answers. ​

Answer 1

Answer:

The mass of each sphere will be 12,20,655.6 Kg.

Explanation:

The spheres are identical. So they have the same mass. Let the mass of each sphere be 'm'.

From the universal law of gravitation, F = G Mm / d²

Where F is the force of attraction, G is the universal gravitational constant, M and m are the masses of the objects and d is the distance of separation between them.

We have, F = 4 N

               G = 6.67 × 10⁻¹¹ Nm²Kg⁻²

∴    4 = (6.67 × 10⁻¹¹ × m × m) / 5²

⇒ m² = (4 × 5²) / ( 6.67 × 10⁻¹¹)

   m² = 149 × 10¹⁰

∴   m = √(149 × 10¹⁰)

    m = 12,20,655.6 Kg