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At what height the acceleration due to g...

At what height the acceleration due to gravity decreases by 36% of its value on the surface of the earth ?

Text Solution

Verified by Experts

As `g_(h) = g[R/(R+h)] ^(2)`
and ` g_(h) = g - 36 % " of " g - 36/100 g `
` :. g_(h) = 64/100 g `
` :. 64/100 g = g[R/(R+h)]^(2)`
` :. 8/10 = R/(R+h)`
` :. 8R +8h = 10 R `
` :. 8h = 2R `
` :. h = (2R)/8`
` :. h = R/4`
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