Odpowiedź:
3)
r=15km
R=6373km
F1=GMm/R²
F2=GMm/(R+r)²
F2/F1=GMm/(R+r)² / GMm/R²
F2/F1=R²/(R+r)²
F2/F1=6373²km²/6388²km²
F2/F1=0,995
4)
R=150*10⁶km
Mz=6*10²⁴kg
Ms=2*10³⁰kg
Fs=GMs*m/x²
Fz=GMz*m/(R-x)²
Fs=Fz
GMs*m/x²=GMz*m/(R-x)²
Ms/x²=Mz/(R-x)²
Ms/x²=Mz/(R²-2Rx+x²)
x=R√Ms/(√Ms+√Mz)
x=150*10⁶km*√2*10³⁰kg/(√2*10³⁰kg+√6*10²⁴kg)
x=1,5*10⁸km
