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What is the escape velocity of a body on the surface of the Earth of...

Physics
WAEC 2025

What is the escape velocity of a body on the surface of the Earth of radius R if the gravitational constant is G and the mass of the Earth is M? (Neglect energy losses to the surroundings)

  • A. \(\sqrt{(2GR^2}\)
  • B. \(\sqrt{(2GR)}\)
  • C. \(\sqrt{(2GM)}\)
  • D. \(\sqrt{(\frac{2G}{\text{R}})}\)
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Correct Answer: Option C
Explanation

v\(_e\) = \(\sqrt{(2gR)}\)

Since gR = GM

\(\therefore\), v\(_e\) = \(\sqrt{(2GM)}\)

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