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What is the gravitational potential due to a molecule of mass, m and at a...

Physics
WAEC 1989

What is the gravitational potential due to a molecule of mass, m and at a distance, r from it? (G = gravitational constant).

  • A. Gm2/r2
  • B. Gm/r
  • C. Gm2/r
  • D. G2m2/r
  • E. m2/Gr2
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Correct Answer: Option B
Explanation

The gravitational potential (often denoted as V or φ) due to a single point mass m (such as a molecule treated as a point mass) at a distance r from it is given by:

V = - \(\frac{\text{G m}}{\text{r}}\)

Where: G is the gravitational constant, m is the mass of the molecule, r is the distance from the center of the molecule to the point where the potential is being evaluated. The negative sign is conventional: gravitational potential is zero at infinity and becomes more negative (lower) as you get closer to the mass.


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