Final answer:
The acceleration due to gravity on Saturn's surface is calculated using Newton's law of universal gravitation, with the given mass and radius of Saturn. The computed value is 11.2 m/s^2, corresponding to option (c) in the question.
Step-by-step explanation:
To calculate the acceleration due to gravity on the surface of Saturn, we use Newton's law of universal gravitation. The formula for gravitational acceleration (g) is given by:
g = G × M / r^2
Where:
- G is the gravitational constant (6.674 × 10^-11 N·m^2/kg^2),
- M is the mass of the object (in this case, Saturn's mass),
- r is the radius of the object.
Using Saturn's mass (5.68 × 10^26 kg) and its radius (5.82 × 10^7 m), we find:
g = (6.674 × 10^(-11)) × (5.68 × 10^26) / (5.82 × 10^7)^2
g = (6.674 × 10^(-11) × 5.68 × 10^26) / (3.38944 × 10^15)
g = 11.2 m/s^2
Therefore, the acceleration due to gravity on the surface of Saturn is 11.2 m/s^2, which corresponds to option (c).