Question

Gravitational force between two object of mass 10kg and 15kg is 8×10^-8 N. Then find out separation between objects.

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Answer 1

Given :

• Mass of one object = 10 kg
• Mass of another object = 15 kg
• Gravitational force between the two objects = 8 × 10⁻⁸ N
• Gravitational constant = 6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻²

To Find :

• The separation between the two objects = ?

Solution :

★ By using newton's law we get :

• F = (Gm₁m₂)/d²

❍ Where, ❍

• F = Gravitational force between the two objects
• m₁ = Mass of one object
• m₂ = Mass of another object
• d = The separation between the two objects
• G = Gravitational constant

★ Now,substitue the given values in above formula :

→ F = (Gm₁m₂)/d²

→ 8 × 10⁻⁸ = (6.67 × 10⁻¹¹ × 10 × 15)/d²

→ 8 × 10⁻⁸ = (6.67 × 10⁻¹¹ × 150)/d²

→ d² = (6.67 × 10⁻¹¹ × 150)/ 8 × 10⁻⁸

→ d² = (6.67 × 10⁻¹¹ × 10⁺⁸ × 150)/8

→ d² = (6.67 × 10⁻³ × 150)/8

→ d² = (0.00667 × 150)/8

→ d² = (1.0005)/8

→ d² = 0.125

→ d = √0.35

→ d = 0.35 m

• Hence,the separation between the two objects is 0.35 m.

Answer 2

Answer:

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