What is value of G in F = G m1 m2/r2

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  1. 6.672 × 10-11 N mkg-2
  2. 6.672 × 10-11 N kg-2
  3. 6.672 × 10-11 N m
  4. 6.672 × 10-11 N 

Answer (Detailed Solution Below)

Option 1 : 6.672 × 10-11 N mkg-2
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The correct answer is 6.672 × 10-11 N m2 kg-2.

Key Points

  • The gravitational constant, denoted by G, is a fundamental physical constant.
  • Its value is 6.672 × 10-11 N m2 kg-2.
  • This constant is used in the formula F = G m1 m2 / r2 to calculate the gravitational force between two masses.
  • The unit of G is Newton meter squared per kilogram squared (N m2 kg-2).

Additional Information

  • Gravitational Force:
    • Gravitational force is the attractive force between two masses.
    • It is described by Isaac Newton in his law of universal gravitation.
  • Newton's Law of Universal Gravitation:
    • States that every point mass attracts every other point mass in the universe with a force that is directly proportional to the product of their masses.
    • The force is inversely proportional to the square of the distance between their centers.
  • Applications of Gravitational Constant:
    • Used to calculate the gravitational force in various fields such as astrophysics and space exploration.
    • Essential in determining the orbits of planets and satellites.
  • Measurement of G:
    • The value of G was first measured by Henry Cavendish in 1798.
    • It is one of the most difficult constants to measure with high accuracy.
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