Question

establish the relation between G an
dg​

Answer 1

Answer:

We know that ,

F = m₁a

and we also know that ,

F = Gm₁m₂ / r²

this means that ,

F = Gm₁m₂ / r² = m₁a

Gm₁m₂ / r² = m₁a

m₁ gets cancelled on both sides

g = Gm₂ / r²                          [ a = g ]

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Answer 2

F = ma...............1

F = G*M*m/d2......2

By 1 and 2

ma = G*M*m/d2

On upward or downward motion under the influence of gravity a=g

So,

  mg = G*M*m/d2

Cancelling m from both sides

g= G*M/r2

This is an equation on the relation of g and G.Also,

G = g*r2/MF = ma...............1

F = G*M*m/d2......2

By 1 and 2

ma = G*M*m/d2

On upward or downward motion under the influence of gravity a=g

So,

  mg = G*M*m/d2

Cancelling m from both sides

g= G*M/r2

This is an equation on the relation of g and G.Also,

G = g*r2/M

Explanation: