Answer to Question #147490 in Mechanics | Relativity for Sneha

Question

What is value of g.

Answer 1

Solution:

The acceleration experienced by a freely falling object due to the gravitational force of the massive body is called acceleration due to gravity and is represented by g measured using SI unit m/s². The value of g depends on the mass of the massive body and its radius and Value of g value varies from one body to another.

The acceleration due to gravity on Earth or the value of g on Earth is 9.8 $( \tfrac{m}{s^2} )$ . Which implies that, on Earth, the velocity of an object under free fall will increase by 9.8 every second. This acceleration is due to the Earth’s gravity.

The acceleration due to gravity formula is given by 

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

• G is the universal gravitational constant, G = 6.674×10^-11m³kg^-1s^-2.
• M is the mass of the massive body measured using kg.
• R is the radius of the massive body measured using m.
• g is the acceleration due to gravity measured using $( \tfrac{m}{s^2} )$ .

$g=9.81( \tfrac{m}{s^2} )$