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Concepts Of Physics MCQ Edition [Volume 1]PhysicsThe Forces

The weight of an object is defined as the force with which the earth attracts it. Determine the weight of the moon given the following data: universal constant of gravitation G = 6.67 10⁻¹¹ N-m ^2/ kg ^2 , mass of the moon = 7.36 10²² kg , mass of the earth = 6 10²⁴ kg , and the distance between the earth and the moon = 3.8 10⁵ km .

Options

  1. A4 10²⁰ N
  2. B2 10²⁶ N
  3. C7.8 10²⁷ N
  4. D2 10²⁰ N

Correct answer

D. 2 10²⁰ N

Step-by-step solution

The weight of the moon is defined as the gravitational force exerted by the earth on the moon. F = G M_e M_m r^2 Substituting the given values: F = 6.67 10⁻¹¹ 6 10²⁴ 7.36 10²² (3.8 10^8)^2 F = 294.55 10³⁵ 14.44 10¹⁶ F 20.4 10¹⁹ N = 2.04 10²⁰ N The closest value is 2 10²⁰ N .

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