Question

Choose the correct alternative:Acceleration due to gravity is independent of the mass of the Earth/mass of the body.

Answer 1

hey friend ,

we know that gravitational force is -

$</u></em></strong><strong><em><u>F</u></em></strong><strong><em><u>\: = \frac{</u></em></strong><strong><em><u>GM</u></em></strong><strong><em><u>m}{r {}^{2} } \\ mg = \frac{</u></em></strong><strong><em><u>GM</u></em></strong><strong><em><u>m}{r {}^{2} } \\ g = \frac{</u></em></strong><strong><em><u>GM</u></em></strong><strong><em><u>}{r {}^{2} }$

where g= Acceleration due to gravity .

G= Universal gravitational constant

M = mass of earth .

r = radius of earth .

thus , the acceleration due to gravity Is independent of mass of the body .