Question

Acceleration due to gravity for a body is independent of .

• A. mass of body
• B. mass of Earth
• C. radius of Earth

Answer 1

The correct option is A mass of body

Gravitational force is given as,
$F=\frac{GMm}{R^2}$
From Newton's second law of motion,
$F=ma$

$\therefore ma=\frac{GMm}{R^2}$
$⟹a=\frac{GM}{R^2}$

Hence acceleration due to gravity$(a$) depends on gravitational constant($G$), mass of Earth($M$) and radius of Earth($R$) but not on mass of body($m$). Therefore, acceleration due to gravity is same for all bodies near Earth.