Numerical Problem No. 5.1 (Gravitation) Physics SSC

Find the gravitational force of attraction between two spheres each of mass 1000 kg. The distance between the centres of the spheres is 0.5 m. Ans. (2.67 x10⁻⁴ N)

Mass of the each Sphere = m₁ = m₂ = 1000 kg = 10³ kg

The distance between the centres of the spheres = r = 0.5 m

Gravitational Constant = `\G` = 6.67 ｘ 10⁻¹¹N m² kg⁻²

To Find:

The magnitude of Gravitational Force between the spheres = F = ? N

According to the Law of Gravitation

F = `\frac {G m₁ m₂}{r^2 }`

By putting values

F = `\frac {6.67 ｘ 10⁻¹¹ N m² kg⁻² ｘ 10³ kg ｘ 10³ kg}{(0.5)^2 }`

F = `\frac {6.67}{(0.25 }` ｘ 10⁻¹¹⁺³⁺³ N

F = 26.68 ｘ 10⁻⁵ N

F = 2.668 ｘ 10⁻⁴ N

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