Question

The acceleration due to gravity on Earth does not depend upon

• A. mass of the body
• B. mass of earth
• C. shape and size of the body
• D. radius of earth

Answer 1

Answer: (A), (C)

The correct options are
A

mass of the body

C

shape and size of the body

We know acceleration due to gravity(g) $=\frac{G{M}_e}{R_e^2}$ where $M_e=$ Mass of earth, $R_e=$ Radius of earth and G = Universal gravitational constant. From the given expression it is clear that the acceleration due to gravity only depends upon the mass of the earth and the radius of the earth. Therefore, acceleration of a freely falling body does not depend upon the mass of the body, its size, and its shape. In other words, acceleration is the same for all bodies falling freely under gravity.