The mass of Mercury is 3.3 $\times$ 10²³ kg, and its radius is 2440 km. The acceleration due to gravity on the surface of Mercury is

Question

Quizplus · Accepted Answer

The acceleration due to gravity on the surface of a planet can be calculated using the formula $g = \frac{GM}{r^2}$, where $G$ is the gravitational constant ($6.674 \times 10^{-11} \, \text{m}^3\text{kg}^{-1}\text{s}^{-2}$), $M$ is the mass of the planet, and $r$ is the radius of the planet. Using Mercury's mass ($3.3 \times 10^{23}$ kg) and radius (2440 km or $2.44 \times 10^6$ m), the calculated acceleration due to gravity is approximately $3.7 \, \text{m/s}^2$, which matches choice C.

The Mass of Mercury Is 3 ×\times× 1023 Kg, and Its Radius Is 2440 Km

The Mass of Mercury Is 3 $\times$ 10²³ Kg, and Its Radius Is 2440 Km