Question

When an object is close to the surface of earth the acceleration due to gravity is calculated by using the formula

• A. $\frac{F\times d^2}{M\times m}$
• B. $G\frac{M\times m}{d^2}$
• C. $G\frac{M}{R^2}$
• D. $G\frac{M}{d^2}$

Answer 1

Answer: (C)

$G\frac{M}{R^2}$

When an object is close to the surface of earth, the acceleration created due to gravity is constant and calculate by the formula
$g=G\frac{M}{R^2}$
Where, G= gravitation constant
M = Mass of earth
R = Radius of earth
Since the distance for object close to the earth will not change the value of radius of earth in large magnitude, it is considered to calculate acceleration due to gravity for objects close to earth.