Determinati a doua viteza cosmica pentru planeta Marte.

Răspuns :

g=F/m=k*Mm/r²=6,67*10⁻¹¹*6,4*10²³/(3390*1000)²=42,68*10¹²/(11,49*10⁶)²=42,68/11,49≈3,71 m/s²

L=Ec=>k*m*Mm/r=m*v²/2<=>v²/2=Mm*k/r=>v=√2*Mm*k/r (1)

g=k*Mm/r²=>Mm=r²*g/k (2)

Din (1) si (2)=> v=√2rg=√2*3390*1000*3,71=√25,15*10⁶= 5015,35 m/s= 5,01535 km/s≈5 km/s