Question

In this formula,g=GM/R^2,what do G,M,and R stand for ? prove that: g proportional to 1/R^2​

Answer 1

Answer:

F = GmM/r2 = ma, where F is the gravitational force, G is the gravitational constant, M is the mass of the Earth, r is the radius of the Earth, and m is the mass of another object (near the surface of the Earth). 2. GM/r2= a (The m's canceled out.)

Answer 2

Given Formula ,

$g= \frac{GM}{R^2}$

The above given formula is acceleration due to gravity.

• 1 .G,M,and R stand for

G= G stand for gravitational constant

M= M stand for mass of the earth

R= R stand for Radius of the earth

2. Acceleration due to gravity means acceleration produced by the earth.

1. g is directly proportional to G
2. g is directly proportional to M
3. g is inversely proportional to R

To prove :

$g \: is \: proportional \: to \: \frac{1}{R^2}$

Proof:

As the acceleration due to gravity depend on the radius . Because the mass m1 and m2 is constant .

G means gravitational constant.

Hence ,

$g = \frac{1}{R^2}$

Project Code #SPJ2

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