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Question about Gravitation: Escape Velocity

Physics

Originais Teachy

Gravitation: Escape Velocity

Hard

(Originais Teachy 2025) - Question Hard of Physics

We're gearing up for an exciting rocket launch aimed at sending a spacecraft beyond Earth's orbit without it coming back. To figure out the minimum speed the spacecraft needs to hit in order to break free from Earth's gravitational grip, we'll use the escape velocity formula ve = √(2GM/R). Here, G is the gravitational constant at 6.67 x 10^-11 N·m²/kg², while the mass of our planet is 5.97 x 10^24 kg and its radius is 6.37 x 10^6 m.
a.
The minimum escape velocity is 11,200 m/s.
b.
The minimum escape velocity is 12,500 m/s.
c.
The minimum escape velocity is 11,500 m/s.
d.
The minimum escape velocity is 13,000 m/s.
e.
The minimum escape velocity is 10,500 m/s.

Answer sheet:

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