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What is the fractional decrease in the value of free-fall acceleration g for a particle when it is lifted from the surface to an elevation `h`? `(h lt lt R)`

Text Solution

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`g=(GM)/(R^(2))implies(dg)/(dR)=-(2GM)/(R^(3))`
`implies(dg)/g=-(2GM)/(R^(2))1/R`
`implies(dg)/g=-2(h/R)`
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