How much above the surface of earth does the acceleration due to gravity reduces by 36% of its value on the suraface of earth. Radius of earth = 6400 km.
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Since, the acceleration due to gravity reduces by 36%, then the value of acceleration due to gravity
there is = 100 - 36 = 64%. It means, g' = 64/100 g. If h is the height of location above the suraface of earth,
then g' = g R2/(R + h)2 or 64/100g = g R2/(R + h)2 or 8/10 = R/R + h
or 8 R + 8 h = 10 R
or h = 2 R/8 = R/4 = 6.4 x 106/4 = 1.6 x 106m....!!
hope this will help u
there is = 100 - 36 = 64%. It means, g' = 64/100 g. If h is the height of location above the suraface of earth,
then g' = g R2/(R + h)2 or 64/100g = g R2/(R + h)2 or 8/10 = R/R + h
or 8 R + 8 h = 10 R
or h = 2 R/8 = R/4 = 6.4 x 106/4 = 1.6 x 106m....!!
hope this will help u
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