Question

Two spherical balls of mass 10 kg each are placed with their centers 10 cm apart. Find the gravitational force of attraction between them. (Ans: 10⁴G)

Answer 1

Mass of the each Spherical Balls = 10 kg.

Distance between the Spherical balls = 10 cm. = 0.1 m.

Using the Formula,

F = Gm₁m₂/r²

∴ F = 6.67 × 10⁻¹¹ × 10 × 10/(0.1)²

∴ F = 6.67 × 10⁻¹¹ × 10⁴

∴ F = 6.67 × 10⁻⁷ N.

∴ F ≈ 10⁴ G

Hence, the gravitational force of the attraction between the spherical balls is 6.67 × 10⁻⁷ N or 10⁴G N.

Hope it helps.

Answer 2

Given Data :

Mass : 10 kg

Distance : 10 cm = 0.1 m

Gravitation = 6.67 * 10⁻¹¹ N

To find :

Gravitational force = ?

Solution :

Force = G M * m / Distance²

=> Force = 6.67 * 10⁻¹¹ N * ( 10 * 10 ) / ( 0.1 )²

=> Force = 6.67 * 10⁻¹¹ N * 100 / 0.01

=> Force = 6.67 * 10⁻¹¹ N * ( 10² / 10⁻² )

=> Force = 6.67 * 10⁻¹¹ N * 10² ⁺ ²

=> Force = 6.67 * 10⁻¹¹ N * 10⁴

We know that Gravitation ( G ) = 6.67 * 10⁻¹¹ N

Substituting that value to be G we get,

Force = G * 10⁴

=> Force = 10⁴ G which is the required value.