The acceleration due. to gravity becomes ( g 2 )(g= acceleration due to gravity on the surface of the earth) at a height equal to

Step-by-step solution

The acceleration due to gravity g= G M R² At a height h above the earth's surface, the acceleration due to gravity is aligned g^ &= G M (R+h)² g g^ &= ( R+h R )² &= (1+ h R )² aligned aligned g^ g &= (1+ h R )⁻² &= (1- 2 h R ) but g / 2 h &= g 2 (given) 2 h R &= 1 2 h &= R 4 aligned