Q7 What height above the Earth surface the value of ‘g’ becomes 64% of it’s value at the Earth surface ?
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Solution :
Since the acceleration due to gravity reduces by 36% the value of acceleration due to gravity there is 100−36=64%.
It means g'=64100g. If h is the height of location above the surface of earth then
g'=gR2(R+h)2
or 64100g=gR2(R+h2)2
810=RR+h or 8R+8h=10R
⇒h=2R8=R4=6.4×1064=1.6×106m
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