A planet has mass, M, and radius R, If the universal gravitational constant is G,...

PHYSICS
WAEC 2023

A planet has mass, M, and radius R, If the universal gravitational constant is G, what is the expression for the escape velocity of an object on the planet?

  • A. \(\frac{\sqrt{GR}}{2}\)
  • B. \(\frac{\sqrt{2GM}}{R}\)
  • C. \(\frac{\sqrt{2G}}{R}\)
  • D. \(\frac{\sqrt{GM}}{R}\)

Correct Answer: B. \(\frac{\sqrt{2GM}}{R}\)

Explanation

The expression for the escape velocity \(v_e\) of an object from a planet of mass M and radius R using the universal gravitational constant G is:

\(v_e = \frac{\sqrt{2GM}}{R}\)



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