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Answer:
Gravitational force = 7.71 x 10⁻⁹ N
Explanation:
Given :
radius of first sphere r₁ = 20 cm = 2 x 10⁻¹ m
radius of second sphere r₂ = 40 cm = 4 x 10⁻¹ m
density = 19.3 g/cm³ = 19.3 x 10³ kg/m³
distance of separation d = 170 m
Mass of first sphere m₁ = V x ρ
= 4/3 x πr₁³ x 19.3 x 10³
= 4/3 x 3.14 x (2x 10⁻¹)³ x 19.3 x 10³
= 646.4 kg
Mass of second sphere m₂ = 4/3 x π r₂³ x ρ
= 4/3 x 3.14 x (4 x 10⁻¹)³ x 19.3 x 10³
= 5171.3 kg
Gravitational force F =
= 6.67 x 10⁻¹¹ x 646.4 x 5171.3/170²
= 771.48 x 10⁻¹¹ N
= 7.71 x 10⁻⁹ N