Question

2. Establish a relationship between g and G. ​

Answer 1

Answer:

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Explanation:

According to the universal law of gravitation

⇒ F=GMm/r^2    ———(1)

From Newton’s second law of motion, we know that

⇒ F=ma  ———(2)

If the acceleration due to gravity is g at a given point, then the above equation becomes

⇒ F=mg  ———(3)

Substituting equation (3) in (1), we get

⇒ mg=GMm/r^2

Simplifying the above equation, we get

⇒ g=GM/r^2

Thus, we arrive at the relationship between g and G as –

⇒ g=GM/r^2