His spacecraft, Vostok I, was a sphere about 2.3 m in diameter, and it reached a maximum altitude above Earth’s surface of 327 km. What was the spacecraft’s speed at this point in its orbit?

Question

His spacecraft, Vostok I, was a sphere about 2.3 m in diameter, and it reached a maximum altitude above Earth’s surface of 327 km.  What was the spacecraft’s speed at this point in its orbit?

Elena · Answer

the gravitational constant G =6.67•10⁻¹¹ N•m²/kg², Earth’s mass is M = 5.97•10²⁴kg, Earth’s radius is R = 6.378•10⁶ m. r=R+h =6.378•10⁶ +0.327•10⁶ =... ma=F F =G•m•M/r² ma=mv²/r G•m•M/r² =mv²/r v=sqrt(GM/r)=...