Question

The height above the earth's surface does the acceleration due to gravity fall to $1\%$ of its value at the earth's surface is KR. Then the value of K is_____(K is an integer)

Answer 1

Given : $g_h=1\%$ $g_s=0.01g_s$

Using $g_h=g_s(\frac{R}{R+h}{)}^2$

Or $0.01g_s=g_s(\frac{R}{R+h}{)}^2$

Or $0.1=\frac{R}{R+h}$

Or $0.1R+0.1h=R$

$⟹h=9R$

So, $K=9$