Q 16 (a) At what height above earth's surface would the value of acceleration due to gravity be half - Science - Gravitation

Question

Q 16 (a) At what height above earth's surface
would the value of acceleration due to gravity be half of what it
is on the surface? Take the radius of the earth to be R= 6400 Km

Decoder_2 · Accepted Answer

Dear student,The value of g above height h from earth surface is given by,g'=g1-2hRegiven g'=g2putting this value on the above eqaution we get,g2=g1-2hRe1-2hRe=12⇒1-12=2hRe⇒h=Re4=64004=1600kmSo at height 1600km  the value of acceleration due to gravity will be half of value at the surface
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Q 16. (a) At what height above earth's surface would the value of acceleration due to gravity be half of what it is on the surface? Take the radius of the earth to be R= 6400 Km.