Final answer:
To find the acceleration of gravity on Enceladus, we apply Newton's Law of Universal Gravitation and correct the provided radius. The calculated acceleration due to gravity on Enceladus is approximately 0.113 m/s².
Step-by-step explanation:
To calculate the acceleration of gravity on the surface of Enceladus, a moon of Saturn, we use the formula derived from Newton's Law of Universal Gravitation:
g = G * M / R2
where G is the gravitational constant (6.674 × 10-11 N(m/kg)2), M is the mass of the celestial body, and R is the radius of the celestial body.
Given:
M (mass of Enceladus) = 1.08 × 1020 kg
R (radius of Enceladus) = 2.52 × 105 m (the provided radius 2.52 × 1025 m is incorrect and likely a typo)
Substitute the given values into the formula:
g = (6.674 × 10-11 N(m/kg)2) * (1.08 × 1020 kg) / (2.52 × 105 m)2
Upon calculating, the acceleration due to gravity on the surface of Enceladus is approximately:
g ≈ 0.113 m/s2