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Question 30726
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Gravitation: Escape vs Orbital Speed MCQ

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Escape vs Orbital SpeedMediumQuestion 30726

Question

Relation between escape speed v_e and orbital speed v_o at the same radius:
  1. A
    v_e = v_o/√2
  2. B
    v_e = √2 × v_o
    Correct
  3. C
    v_e = 2v_o
  4. D
    v_e = v_o

Correct answer

v_e = √2 × v_o

Explanation

v_o = √(GM/r), v_e = √(2GM/r) = √2 × v_o. To escape from orbit, speed must be increased by factor √2 (about 41% more).

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