Login

At what height above the surface of earth the value of acceleration due to gravity is half of the value on the surface of earth

Dear student,
A t space t h e space s u r f a c e space o f space t h e space e a r t h comma space straight g space equals space fraction numerator G M over denominator straight R squared end fraction A t space h e i g h t space straight h space a b o v e space t h e space e a r t h apostrophe straight s space s u r f a c e comma space space space straight g subscript straight h space equals space fraction numerator G M over denominator left parenthesis straight R plus straight h right parenthesis squared end fraction therefore space space space straight g subscript straight h over straight g space equals space open parentheses fraction numerator straight R over denominator straight R plus straight h end fraction close parentheses squared space space space space rightwards double arrow space space space space straight g subscript straight h space equals straight g open parentheses fraction numerator straight R over denominator straight R plus straight h end fraction close parentheses squared B u t comma space space space space space straight g subscript straight h space equals space straight g over 2
therefore space space space space space space straight g over 2 space equals space straight g open parentheses fraction numerator straight R over denominator straight R plus straight h end fraction close parentheses squared space space rightwards double arrow space space space space space open parentheses fraction numerator straight R over denominator straight R plus straight h end fraction close parentheses squared space equals space 1 half rightwards double arrow space space fraction numerator straight R plus straight h over denominator straight R end fraction space equals space square root of 2 space space space rightwards double arrow space space space space space space straight R plus straight h space equals space square root of 2 space straight R rightwards double arrow space space space space space space space straight h space equals space left parenthesis square root of 2 minus 1 right parenthesis straight R comma space w h e r e space straight R space i s space t h e space r a d i u s space o f space t h e space e a r t h.

Regards

  • -1
View Full Answer
What are you looking for?