ДАНО
g(h) = g/2
НАЙТИ
h
РЕШЕНИЕ
g = G*M/R^2
g(h) = G*M/(R+h)^2
g/g(h) = G*M/R^2 / G*M/(R+h)^2
2 =(R+h)^2 / R^2 = ( (R+h)/ R )^2
√2 = (R+h)/ R = 1 +h/R
h/R = √2 - 1
h = R (√2 - 1
ДАНО
g(h) = g/2
НАЙТИ
h
РЕШЕНИЕ
g = G*M/R^2
g(h) = G*M/(R+h)^2
g/g(h) = G*M/R^2 / G*M/(R+h)^2
2 =(R+h)^2 / R^2 = ( (R+h)/ R )^2
√2 = (R+h)/ R = 1 +h/R
h/R = √2 - 1
h = R (√2 - 1