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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGravitation

Determine the gravitational force of attraction between two spherical balls, each having a mass of 10 kg , which are positioned 10 cm apart from one another.

Options

  1. A6.67 10⁻¹¹ N
  2. B6.67 10⁻⁷ N
  3. C6.67 10⁻⁵ N
  4. D6.67 10⁻⁸ N

Correct answer

B. 6.67 10⁻⁷ N

Step-by-step solution

Given, mass of the first ball, m₁ = 10 kg Mass of the second ball, m₂ = 10 kg Distance between their centers, r = 10 cm = 0.1 m Universal gravitational constant, G = 6.67 10⁻¹¹ N m ^2/ kg ^2 The gravitational force of attraction is given by Newton's law of gravitation: F = G m₁ m₂ r^2 Substituting the given values: F = 6.67 10⁻¹¹ 10 10 (0.1)^2 F = 6.67 10⁻⁹ 0.01 F = 6.67 10⁻⁷ N

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