Question

Rhea with a radius of 7.63x 10^6 m, is the second largest moon of the planet Saturn. If the mass of Rhea is 2.31 x 10^21 kg, what is the acceleration due to gravity on the surface of the moon

A. 2.65 x 10-1 m/s^2

B. 2.02 x 10^5 m/s

C. 2.65 x 10^-1 m/s

D. 2.02 x 105 m/s^2

Answer 1

Using the formula for gravitational acceleration, the acceleration due to gravity on Rhea is calculated to be 0.265 m/s^2, corresponding to choice C, 2.65x10^-1 m/s^2.

Step-by-step explanation:

The student has been asked to calculate the acceleration due to gravity on the surface of Rhea, Saturn's second-largest moon, given its radius (7.63×105 m) and mass (2.31×1021 kg).

The acceleration due to gravity can be calculated using the formula g = (G × M) / R2, where G is the gravitational constant (6.674×10-11 N(m/kg)2).

Plugging in the values for Rhea, we get g = (6.674×10-11 × 2.31×1021) / (7.63×105)2.

The correct calculation results in an acceleration due to gravity of 0.265 m/s2, which corresponds to choice C: 2.65×10-1 m/s2.