Question

find the relationship between g and G


I need fresh answer not copy paste ​

Answer 1

Answer:

g = GM/R² or 3g/4πGR = ρ

Explanation:

According to universal law of gravitation, gravitational force between two objects is directly proportional to their masses (masses denoted by M and m) and inversely proportional to the square of distance between them (distance denoted by R).

→ F = G (M × m)/R²   ------(eq 1)

(Where F is force, G is universal gravitation constant having value 6.67 × 10-¹¹ Nm²/kg², M is mass of object 1, m is mass of object 2 and R is distance between object 1 & 2.)

From Newtons second law of motion,

→ F = mg (if 'g' be the acceleration produced by earth on body)   -----(eq 2)

On comparing (eq 1) and (eq 2) we get,

→ mg = G (M × m)/R²

→ g = GM/R²

OR

We know that:

→ g = GM/R²

→ gR²/G = M

(Where M and R are mass and radius of earth respectively.)

Now,

Mass of earth = Volume (Vol. of sphere) × Density

→ M = 4/3 πR³ × ρ

Substitute the value of M,

→ gR²/G = 4/3 πR³ × ρ

→ g/G = 4/3 Rπρ

→ 3g/4πGR = ρ

Answer 2

Answer:

In chemistry, a reaction intermediate or an intermediate is a molecular entity that is formed from the reactants (or preceding intermediates) and reacts further to give the directly observed products of a chemical reaction. Most chemical reactions are stepwise, that is they take more than one elementary step to complete. An intermediate is the reaction product of each of these steps, except for the last one, which forms the final product.

For example, consider this hypothetical stepwise reaction:

{\displaystyle {\ce {A + B -> C + D}}}{\displaystyle {\ce {A + B -> C + D}}}

The reaction includes these elementary steps:

{\displaystyle {\ce {A + B -> X}}}{\displaystyle {\ce {A + B -> X}}}

{\displaystyle {\ce {X -> C + D}}}{\displaystyle {\ce {X -> C + D}}}

The chemical species X is an intermediate.

Reactive intermediates are an unstable type of reaction intermediate, and are usually short-lived, high-energy, and seldom isolated. They do not remain in the product mixture due to their short lifetime, in contrast to other reaction intermediates.