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At what height above the earth's surface would the value of acceleration due to gravity be half of what it is on the surface? Take the radius of earth to be R. - Physics

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प्रश्न

At what height above the earth's surface would the value of acceleration due to gravity be half of what it is on the surface? Take the radius of earth to be R.

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उत्तर

As we know

`g= GxxM/R^2`

So let at height H the value of g is half that of the earth earth surface

then g at R + H would be equal to

`g'= GxxM/(R+H)^2`
Now g'/g=1/2
1/2= R2/ (R+H)2
(R+H)2=2R2
R+H = √2 R
H = (√2-1) R

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अध्याय 3: Laws of Motion - Exercise 2 [पृष्ठ १२६]

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फ्रैंक Physics [English] Class 9 ICSE
अध्याय 3 Laws of Motion
Exercise 2 | Q 34 | पृष्ठ १२६
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