Question

The height from the earth surface at which the value of acceleration due to gravity reduces to one fourth of its value at earth surface (radius of earth = 6400 km)
1-6400 km
2- 2649 km
3- 2946 km
4-1600 km

Answer 1

Answer:

1 = 6400 is the answer

Explanation:

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Answer 2

Dear student

Given :-

• acceleration due to gravity = 1/4 Ge

To find :-

• the value of height

Solution :-

Consider the straight forward relationship between radius and acceleration due gravity by the formula;

            gh = g R²/ ( R + h )²

So, from the given condition, we have;

 

       g/ 4 = g R² /( R + h )²

         1/4 = R²/ ( R + h )²

         1/2 = R / ( R + h )

     R + h = 2 R

           h = 2R - R

           h = R

           h = 6400 km