Question

Using Newton's Law of Universal Gravitation equation, find the local gravitational acceleration (g) on Earth

Answer 1

Answer: Here is the solution

Explanation:

You can use the following equation to solve your question.

The mathematical formula for gravitational force is F=GMmr2 F = G Mm r 2 where G is the gravitational constant.

Answer 2

g =  GM/R²   - local gravitational acceleration (g) on Earth

Explanation:

Newton's Law of Universal Gravitation equation

F  = G  m₁m₂/d²

G - Gravitaional Constant

F = Gravitational Force between objects

m₁ = mass of one object

m₂ = mass of another object

d =  Distance between object

Force on body on Earth = mg

m = m₂  

g = local gravitational acceleration

m₁  = M  ( mass of earth)

d =  R  = Radius of earth  ( as object is at distance of Radius from center of earth)

=> mg  =  G  mM/R²

=> g =  GM/R²

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