g1=GM/(R+h)², g=GM/R²-1), P=mg, P1=mg1 => P/P1=mg/mg1=> P/P1=g/g1, P1=P/3=> 3=g/g1=> g1=g/3=GM/(R+h)²-2), 1)/2)=3g/g=GM·(R+h)²/GM·R² =>
3=(R+h)²/R²=R²+2Rh+h²/R² => 3R²=R²+2Rh+h² => h²+2Rh-2R²=0, a=1, b=2R, c=-2R²,(h=x), => D = b² - 4ac=4R²-4·1·(-2R²)=12R²,
h1=(-2R+√12R²)/2=(-2R+2R√3)/2 = 2R(√3-1)/2=R(√3-1)≈0,73R, h2-не подходит...
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
g1=GM/(R+h)², g=GM/R²-1), P=mg, P1=mg1 => P/P1=mg/mg1=> P/P1=g/g1, P1=P/3=> 3=g/g1=> g1=g/3=GM/(R+h)²-2), 1)/2)=3g/g=GM·(R+h)²/GM·R² =>
3=(R+h)²/R²=R²+2Rh+h²/R² => 3R²=R²+2Rh+h² => h²+2Rh-2R²=0, a=1, b=2R, c=-2R²,(h=x), => D = b² - 4ac=4R²-4·1·(-2R²)=12R²,
h1=(-2R+√12R²)/2=(-2R+2R√3)/2 = 2R(√3-1)/2=R(√3-1)≈0,73R, h2-не подходит...