When an object is at height equal to radius of earth above the surface of earth what will be value of g?

When an object is at height equal to radius of earth above the surface of earth what will be value of g?

Text Solution

Solution : (i) (1.) Consider the formula, `m_(g) = (GMm)/(R^(2))` <br> Take acceleration due to gravity on the surface the earth as `'g_(o)'` from equation (1). <br> (2.) Find the acceleration due to gravity `(g_(h))` at a height (h) equal to half of the radius of the Earth from equation (1). <br> Find the ratio of `g_(o) "and" g_(h)` <br> Take the value of `g_(o) "as" 9.8 m s^(-2)`. <br> Find the value of `'g_(h)'` <br> (ii) `4.36 m s^(-2)`

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