What formula gives the acceleration due to gravity on Loput, given its mass and radius?

The correct formula for calculating the acceleration due to gravity on a celestial body, such as Loput, is derived from Newton's law of universal gravitation. The formula is:

[ g = \frac{G \cdot M}{r^2} ]

where ( g ) is the acceleration due to gravity, ( G ) is the gravitational constant, ( M ) is the mass of the celestial body, and ( r ) is its radius.

In analyzing the question choices, each option presents a version of the gravitational acceleration scaled by ( g ), where the term in the parentheses represents a ratio of mass to the square of the radius. The goal is to ensure that the ratio of mass to radius squared aligns with the specific values provided.

For the chosen answer, the mass of Loput is given as 5.6 and its radius is 1.7. According to the formula, the acceleration due to gravity would be proportional to ( \frac{5.6}{1.7^2} ). This aligns correctly with the fundamental principles of gravitation, confirming that this proportionality holds for Loput.

Thus, when we compare the ratio's formula with the choices and notice that choice B clearly