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At what height above the surface of the earth, the value of g becomes 64% of its value on the surface is the earth. Radius of earth = 6400 km.

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We just use the Newton's law of gravitation. that is simple.

Let the Force of gravitation on an object of mass m at an altitude h from Earth's surface distance be equal to F.

let Radius of Earth = Re = 6400 km

and mass of Earth be Me.

So the altitude = h=

at a height of 1/4 th of Earth's radius..

Let the Force of gravitation on an object of mass m at an altitude h from Earth's surface distance be equal to F.

let Radius of Earth = Re = 6400 km

and mass of Earth be Me.

So the altitude = h=

at a height of 1/4 th of Earth's radius..