1.

Derive the relation between g and G.

Answer»

The acceleration on an object due to the gravity of any massive body is represented by g (small g). The force of attraction between any two unit masses separated by unit distance is called universal gravitational constant denoted by G (capital G). The relation between G and g is not proportional. That means they are independent entities.

In physics, G and g can be related mathematically as –

g = GM/R2

Where,

  • g is the acceleration due to the gravity of any massive body measured in m/s2.

  • G is the universal gravitational constant measured in Nm2/kg2.

  • R is the radius of the massive body measured in km.

  • M is the mass of the massive body measured in Kg

G and g relation

Although there exists a formula to express the relation between g and G in physics, there is no correlation between acceleration due to gravity and universal gravitation constant, as the value of G is constant. The value of G is constant at any point in this universe. G and g are not dependent on each other.



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