Let M denote the mass of Earth and let R denote its radius.The ratio g/G at Earth's surface is: A)R²/M B)M/R² C)MR² D)M/R E)R/M

Question

Quizplus · Accepted Answer

The gravitational force (F) on an object at the Earth's surface is given by F = G * (M * m) / R^2, where G is the gravitational constant, M is the mass of the Earth, m is the mass of the object, and R is the radius of the Earth. The acceleration due to gravity (g) is given by F/m = G * M / R^2. Therefore, the ratio g/G = M / R^2, which matches the form of option B when considering the superscript and subscript notation provided.

Let M Denote the Mass of Earth and Let R